TY - JOUR ID - 939 TI - Some extended Simpson-type inequalities and applications JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Hsu, K. C. AU - Hwang, S. R. AU - Tseng, K. L. AD - Department of Business Administration‎, ‎Aletheia‎ ‎University‎, ‎Tamsui‎, ‎New Taipei City 25103‎, ‎Taiwan. AD - China University of Science and Technology‎, ‎Nankang‎, ‎Taipei 11522‎, ‎Taiwan‎. AD - Department of Applied Mathematics‎, ‎Aletheia‎ ‎University‎, ‎Tamsui‎, ‎New Taipei City 25103‎, ‎Taiwan. Y1 - 2017 PY - 2017 VL - 43 IS - 2 SP - 409 EP - 425 KW - Hermite-Hadamard inequality‎ KW - ‎Simpson inequality‎ KW - ‎midpoint‎ ‎inequality‎ KW - ‎trapezoid inequality‎ KW - ‎convex function‎ KW - ‎concave functions‎ KW - ‎special means‎ KW - ‎quadrature rules‎ DO - N2 - ‎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. UR - http://bims.iranjournals.ir/article_939.html L1 - http://bims.iranjournals.ir/article_939_f2761018168383c633fe948d418e2f96.pdf ER -