2019-01-21T14:20:33Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=91
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Bulletin of the Iranian Mathematical Society
2017
04
01
http://bims.iranjournals.ir/article_1119_8b433c3d08c8d87751f6a1cb1f063aef.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Flag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of Lie type
Y.
Wang
S.
Zhou
Let $G$ be an automorphism group of a $2$-$(v,k,4)$ symmetric design $mathcal D$. In this paper, we prove that if $G$ is flag-transitive point-primitive, then the socle of $G$ cannot be an exceptional group of Lie type.
Symmetric design
flag-transitive
point-primitive
exceptional simple group
2017
04
01
259
273
http://bims.iranjournals.ir/article_929_c271f26ec4f8553df2950e0b2e6bc4d9.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Connections between labellings of trees
B.
Yao
X.
Liu
M.
Yao
There are many long-standing conjectures related with some labellings of trees. It is important to connect labellings that are related with conjectures. We find some connections between known labellings of simple graphs.
trees
(odd-)graceful labellings
felicitous lalbellings
(k
d)-graceful labellings
2017
04
01
275
283
http://bims.iranjournals.ir/article_930_493991d8c291f08d8bd8ff563e3af03f.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Arens regularity of bilinear maps and Banach modules actions
A.
Sahleh
L.
Najarpisheh
Let $X$, $Y$ and $Z$ be Banach spaces and $f:Xtimes Y longrightarrow Z$ a bounded bilinear map. In this paper we study the relation between Arens regularity of $f$ and the reflexivity of $Y$. We also give some conditions under which the Arens regularity of a Banach algebra $A$ implies the Arens regularity of certain Banach right module action of $A$ .
Banach algebra
bilinear map
Arens product
second dual
Banach module action
2017
04
01
285
289
http://bims.iranjournals.ir/article_931_8c1fa1d6d41de85bba6f46abc8910d0b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Multipliers of continuous $G$-frames in Hilbert spaces
M. R.
Abdollahpour
Y.
Alizadeh
In this paper we introduce continuous $g$-Bessel multipliers in Hilbert spaces and investigate some of their properties. We provide some conditions under which a continuous $g$-Bessel multiplier is a compact operator. Also, we show the continuous dependency of continuous $g$-Bessel multipliers on their parameters.
$g$-frames
continuous frames
continuous $g$-frames
Multiplier of frames
Multiplier of continuous $g$-frames
2017
04
01
291
305
http://bims.iranjournals.ir/article_932_83e1159152f8cbea43aaf8f5c326705e.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Study on multi-order fractional differential equations via operational matrix of hybrid basis functions
K.
Maleknejad
K.
Nouri
L.
Torkzadeh
In this paper we apply hybrid functions of general block-pulse functions and Legendre polynomials for solving linear and nonlinear multi-order fractional differential equations (FDEs). Our approach is based on incorporating operational matrices of FDEs with hybrid functions that reduces the FDEs problems to the solution of algebraic systems. Error estimate that verifies a convergence of the approximate solutions is considered. The numerical results obtained by this scheme have been compared with the exact solution to show the efficiency of the method.
Fractional derivatives and integrals
multi-order fractional differential equations
operational matrix
hybrid functions
2017
04
01
307
318
http://bims.iranjournals.ir/article_933_74ac4fa108f647c8005377440f4c19a9.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
A new result on chromaticity of K4-homoemorphs with girth 9
N.S.A.
Karim
R.
Hasni
G.C.
Lau
For a graph $G$, let $P(G,lambda)$ denote the chromatic polynomial of $G$. Two graphs $G$ and $H$ are chromatically equivalent if they share the same chromatic polynomial. A graph $G$ is chromatically unique if any graph chromatically equivalent to $G$ is isomorphic to $G$. A $K_4$-homeomorph is a subdivision of the complete graph $K_4$. In this paper, we determine a family of chromatically unique $K_4$-homeomorphs which have girth 9 and has exactly one path of length 1, and give sufficient and necessary condition for the graphs in this family to be chromatically unique.
Chromatic polynomial
chromatically unique
$K_4$-homeomorphs
2017
04
01
319
336
http://bims.iranjournals.ir/article_934_939a971a7355485402466c756b6fb1a9.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Extrinsic sphere and totally umbilical submanifolds in Finsler spaces
B.
Bidabad
M.
Sedaghat
Based on a definition for circle in Finsler space, recently proposed by one of the present authors and Z. Shen, a natural definition of extrinsic sphere in Finsler geometry is given and it is shown that a connected submanifold of a Finsler manifold is totally umbilical and has non-zero parallel mean curvature vector field, if and only if its circles coincide with circles of the ambient manifold. Finally, some examples of extrinsic sphere in Finsler geometry, particularly in Randers spaces are given.
Finsler space
development
mean curvature
umbilical
extrinsic sphere
2017
04
01
337
347
http://bims.iranjournals.ir/article_935_c754c11cc81b3e1bff1e40e9447fd3ce.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Strong convergence theorem for solving split equality fixed point problem which does not involve the prior knowledge of operator norms
Y.
Shehu
F. U.
Ogbuisi
O. S.
Iyiola
Our contribution in this paper is to propose an iterative algorithm which does not require prior knowledge of operator norm and prove a strong convergence theorem for approximating a solution of split equality fixed point problem for quasi-nonexpansive mappings in a real Hilbert space. So many have used algorithms involving the operator norm for solving split equality fixed point problem, but as widely known the computation of these algorithms may be difficult and for this reason, some researchers have recently started constructing iterative algorithms with a way of selecting the step-sizes such that the implementation of the algorithm does not require the calculation or estimation of the operator norm. To the best of our knowledge most of the works in literature that do not involve the calculation or estimation of the operator norm only obtained weak convergence results. In this paper, by appropriately modifying the simultaneous iterative algorithm introduced by Zhao, we state and prove a strong convergence result for solving split equality problem. We present some applications of our result and then give some numerical example to study its efficiency and implementation at the end of the paper.
Strong convergence
split equality fixed point problem
quasi-nonexpansive mappings
simultaneous iterative algorithm
Hilbert spaces
2017
04
01
349
371
http://bims.iranjournals.ir/article_936_21cfabb768d5096d17c2ae083701e3f4.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Triple positive solutions of $m$-point boundary value problem on time scales with $p$-Laplacian
A.
Dogan
In this paper, we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly. Our results are new for the special cases of difference equations and differential equations as well as in the general time scale setting.
Time scales
Boundary value problem
$p$-Laplacian
positive solutions
fixed point theorem
2017
04
01
373
384
http://bims.iranjournals.ir/article_937_658c5c30c256bc20cbbd54799cbc12dd.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
New classes of Lyapunov type inequalities of fractional $Delta$-difference Sturm-Liouville problems with applications
K.
Ghanbari
Y.
Gholami
In this paper, we consider a new study about fractional $Delta$-difference equations. We consider two special classes of Sturm-Liouville problems equipped with fractional $Delta$-difference operators. In couple of steps, the Lyapunov type inequalities for both classes will be obtained. As application, some qualitative behaviour of mentioned fractional problems such as stability, spectral, disconjugacy and some interesting results about zeros of (oscillatory) solutions will be concluded.
Discrete fractional calculus
discrete fractional Sturm-Liouville problem
Lyapunov type inequalities
stability
Mittag-Leffler type functions
2017
04
01
385
408
http://bims.iranjournals.ir/article_938_599bea256ce7e3704a0d85dc06ff4b99.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Some extended Simpson-type inequalities and applications
K. C.
Hsu
S. R.
Hwang
K. L.
Tseng
In this paper, we shall establish some extended Simpson-type inequalities for differentiable convex functions and differentiable concave functions which are connected with Hermite-Hadamard inequality. Some error estimates for the midpoint, trapezoidal and Simpson formula are also given.
Hermite-Hadamard inequality
Simpson inequality
midpoint inequality
trapezoid inequality
convex function
concave functions
special means
quadrature rules
2017
04
01
409
425
http://bims.iranjournals.ir/article_939_f2761018168383c633fe948d418e2f96.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Left derivable or Jordan left derivable mappings on Banach algebras
Y.
Ding
J.
Li
Let $mathcal{A}$ be a unital Banach algebra, $mathcal{M}$ be a left $mathcal{A}$-module, and $W$ in $mathcal{Z}(mathcal{A})$ be a left separating point of $mathcal{M}$. We show that if $mathcal{M}$ is a unital left $mathcal{A}$-module and $delta$ is a linear mapping from $mathcal{A}$ into $mathcal{M}$, then the following four conditions are equivalent: (i) $delta$ is a Jordan left derivation; (ii)$delta$ is left derivable at $W$; (iii) $delta$ is Jordan left derivable at $W$; (iv)$Adelta(B)+Bdelta(A)=delta(W)$ for each $A,B$ in $mathcal{A}$ with $AB=BA=W$. Let $mathcal{A}$ have property ($mathbb{B}$) (see Definition ref{Prop_B}), $mathcal{M}$ be a Banach left $mathcal{A}$-module, and $delta$ be a continuous linear operator from $mathcal{A}$ into $mathcal{M}$. Then $delta$ is a generalized Jordan left derivation if and only if $delta$ is Jordan left derivable at zero. In addition, if there exists an element $Cinmathcal{Z}(mathcal{A})$ which is a left separating point of $mathcal{M}$, and $Rann_{mathcal{M}}(mathcal{A})={0}$, then $delta$ is a generalized left derivation if and only if $delta$ is left derivable at zero.
(Jordan) left derivation
generalized (Jordan) left derivation
(Jordan) left derivable mapping
2017
04
01
427
437
http://bims.iranjournals.ir/article_940_2fb4eda367c76aee7ee5aa3cf6360896.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
The Steiner diameter of a graph
Y.
Mao
The Steiner distance of a graph, introduced by Chartrand, Oellermann, Tian and Zou in 1989, is a natural generalization of the concept of classical graph distance. For a connected graph $G$ of order at least $2$ and $Ssubseteq V(G)$, the Steiner distance $d(S)$ among the vertices of $S$ is the minimum size among all connected subgraphs whose vertex sets contain $S$. Let $n,k$ be two integers with $2leq kleq n$. Then the Steiner $k$-eccentricity $e_k(v)$ of a vertex $v$ of $G$ is defined by $e_k(v)=max {d(S),|,Ssubseteq V(G), |S|=k, and vin S}$. Furthermore, the Steiner $k$-diameter of $G$ is $sdiam_k(G)=max {e_k(v),| vin V(G)}$. In 2011, Chartrand, Okamoto and Zhang showed that $k-1leq sdiam_k(G)leq n-1$. In this paper, graphs with $sdiam_3(G)=2,3,n-1$ are characterized, respectively. We also consider the Nordhaus-Gaddum-type results for the parameter $sdiam_k(G)$. We determine sharp upper and lower bounds of $sdiam_k(G)+sdiam_k(overline{G})$ and $sdiam_k(G)cdot sdiam_k(overline{G})$ for a graph $G$ of order $n$. Some graph classes attaining these bounds are also given.
Diameter
Steiner tree
Steiner $k$-diameter
complementary graph
2017
04
01
439
454
http://bims.iranjournals.ir/article_941_e2120ca1a80a19dcc106cd516aecaec7.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Module homomorphisms from Frechet algebras
H.
Shayanpour
We first study some properties of $A$-module homomorphisms $theta:Xrightarrow Y$, where $X$ and $Y$ are Fréchet $A$-modules and $A$ is a unital Fréchet algebra. Then we show that if there exists a continued bisection of the identity for $A$, then $theta$ is automatically continuous under certain condition on $X$. In particular, every homomorphism from $A$ into certain Fréchet algebras (including Banach algebra) is automatically continuous. Finally, we show that every unital Fréchet algebra with a continued bisection of the identity, is functionally continuous.
Automatic continuity
Fréchet algebras
module homomorphism
continued bisection of the identity
Fréchet $A$-module
2017
04
01
455
466
http://bims.iranjournals.ir/article_942_5f1edf4c79344777af51dc795000628a.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
On convergence of sample and population Hilbertian functional principal components
A. R.
Soltani
A. R.
Nematollahi
R.
Nasirzadeh
In this article we consider the sequences of sample and population covariance operators for a sequence of arrays of Hilbertian random elements. Then under the assumptions that sequences of the covariance operators norm are uniformly bounded and the sequences of the principal component scores are uniformly sumable, we prove that the convergence of the sequences of covariance operators would imply the convergence of the corresponding sequences of the sample andpopulation eigenvalues and eigenvectors, and vice versa. In particular we prove that the principal component scores converge in distribution in certain family of Hilbertian elliptically contoured distributions.
Hilbertian random elements
functional data analysis
functional principal component analysis
covariance operators
operator convergence.s
2017
04
01
467
475
http://bims.iranjournals.ir/article_943_8b2fe9fd106048633e7c8a769df8b090.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Digital Borsuk-Ulam theorem
G.
Burak
I.
Karaca
The aim of this paper is to compute a simplicial cohomology group of some specific digital images. Then we define ringand algebra structures of a digital cohomology with the cup product. Finally, we prove a special case of the Borsuk-Ulam theorem fordigital images.
Digital simplicial cohomology group
cup product
cohomology ring
cohomology algebra
2017
04
01
477
499
http://bims.iranjournals.ir/article_944_a45df8ec79123292ec069242f7c794da.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
A characterization of simple $K_4$-groups of type $L_2(q)$ and their automorphism groups
J.
Li
D.
Yu
G.
Chen
W.
Shi
In this paper, it is proved that all simple $K_4$-groups of type $L_2(q)$ can be characterized by their maximum element orders together with their orders. Furthermore, the automorphism groups of simple $K_4$-groups of type $L_2(q)$ are also considered.
Simple $K_4$-groups
maximum element order
characterization
2017
04
01
501
514
http://bims.iranjournals.ir/article_945_cbbaf66f5c85525a815ddd80640c65f9.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Pullback D-attractors for non-autonomous partly dissipative reaction-diffusion equations in unbounded domains
X.
Li
At present paper, we establish the existence of pullback $mathcal{D}$-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in $L^2(mathbb{R}^n)times L^2(mathbb{R}^n)$. In order to do this, by energy equation method we show that the process, which possesses a pullback $mathcal{D}$-absorbing set, is pullback $widehat{D}_0$-asymptotically compact.
Pullback attractors
partly dissipative
reaction-diffusion equations
2017
04
01
515
534
http://bims.iranjournals.ir/article_946_eb8de4569fe72817b303974d78250ebe.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Comparative study on solving fractional differential equations via shifted Jacobi collocation method
M.
Behroozifar
F.
Ahmadpour
In this paper, operational matrices of Riemann-Liouville fractional integration and Caputo fractional differentiation for shifted Jacobi polynomials are considered. Using the given initial conditions, we transform the fractional differential equation (FDE) into a modified fractional differential equation with zero initial conditions. Next, all the existing functions in modified differential equation are approximated by shifted Jacobi polynomials. Then, operational matrices and spectral collocation method are applied to obtain a linear or nonlinear system of algebraic equations. System of algebraic equations can be simultaneously solved (e.g. using Mathematica^{TM}). Main characteristic behind of the this technique is that only a small number of shifted Jacobi polynomials is needed to obtain a satisfactory result which demonstrates the validity and efficiency of the method. Comparison between this method and some other methods confirm the good performance of the presented method. Also, this method is generalized for the multi-point fractional differential equation.
Fractional-order differential equation
Riemann-Liouville integral
Jacobi polynomial
collocation method
2017
04
01
535
560
http://bims.iranjournals.ir/article_947_b3ed3a5b2e22cf9386624a6699f3ff0d.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2017
43
2
Separating partial normality classes with weighted composition operators
H.
Emamalipour
M. R.
Jabbarzadeh
Z.
Moayyerizadeh
In this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $L^{2}(Sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$A$. Then we show that weighted composition operators can separate these classes.
conditional expectation
weighted composition operator
$n$-power normal
$k$-quasi-paranormal
2017
04
01
561
574
http://bims.iranjournals.ir/article_948_29a797d05847cd4d2157c9194efc4dc4.pdf