We derive whole series of new integral
inequalities of the Hardy-type, with non-conjugate exponents.
First, we prove and discuss two equivalent general
inequa-li-ties of such type, as well as their corresponding
reverse inequalities. General results are then applied to special
Hardy-type kernel and power weights. Also, some estimates of
weight functions and constant factors are obtained. In
particular, we obtain generalizations and improvements of some
recent results, in the literature.
Cizmesija, A., Krnic, M., & Pecaric, J. (2012). General Hardy-Type Inequalities with Non-conjugate Exponents. Bulletin of the Iranian Mathematical Society, 37(No. 3), 77-108.
MLA
A. Cizmesija; M. Krnic; J. Pecaric. "General Hardy-Type Inequalities with Non-conjugate Exponents". Bulletin of the Iranian Mathematical Society, 37, No. 3, 2012, 77-108.
HARVARD
Cizmesija, A., Krnic, M., Pecaric, J. (2012). 'General Hardy-Type Inequalities with Non-conjugate Exponents', Bulletin of the Iranian Mathematical Society, 37(No. 3), pp. 77-108.
VANCOUVER
Cizmesija, A., Krnic, M., Pecaric, J. General Hardy-Type Inequalities with Non-conjugate Exponents. Bulletin of the Iranian Mathematical Society, 2012; 37(No. 3): 77-108.