[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2012.52.4.397

On Two Dimensional q-Hölder's Inequality

Yang, Wengui (Ministry of Public Education, Sanmenxia Polytechnic)

Publication Information

Kyungpook Mathematical Journal / v.52, no.4, 2012 , pp. 397-404 More about this Journal

Abstract

In this article, the reverse q-H $\ddot{o}$ lder type inequality and two dimensional q-H $\ddot{o}$ lder's inequality are established. We also obtain some q-integral inequalities by using q-H $\ddot{o}$ lder's inequality which give q-Hardy's inequalities as spacial cases.

Keywords

q-H $\ddot{o}$ lder's inequality; q-Hardy's inequalities; q-integral inequalities;

Citations & Related Records

Reference

1	M. R. S. Ammi and D. F. M. Torres, Holder's and Hardy's two dimensional diamond-alpha inequalities on time scales, An. Univ. Craiova Ser. Mat. Inform., 37(1)(2010), 1-11.
2	H. Cauciman, Integral inequalities in q-calculus, Comput. Math. Appl., 47(2004), 281-300. DOI ScienceOn
3	A. Fitouhi, K. Brahim, Some inequalities for the q-beta and the q-gamma functions via some q-integral inequalities, Appl. Math. Comput., 204(2008), 385-394. DOI ScienceOn
4	F. H. Jackson, On a q-definite integrals, Quarterly J. Pure Appl. Math., 41(1910), 193-203.
5	A. Tuna, S. Kutukcu, Some integral inequalities on time scales, Appl. Math. Mech. Engl. Ed., 29(1)(2008), 23-29. DOI ScienceOn