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On Two Dimensional q-Holder's Inequality

Wengui Yang
경북대학교 자연과학대학 수학과|2012.12|Kyungpook Mathematical Journal|제52권 제4호|pp. 397-404

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참고문헌

키워드

q-Holder's inequalityq-Hardy's inequalitiesq-integral inequalities
주제분류수학

초록

In this article, the reverse q-Holder type inequality and two dimensional q-Holder's inequality are established. We also obtain some q-integral inequalities by using q-Holder's inequality which give q-Hardy's inequalities as spacial cases.

Abstract

In this article, the reverse q-Holder type inequality and two dimensional q-Holder's inequality are established. We also obtain some q-integral inequalities by using q-Holder's inequality which give q-Hardy's inequalities as spacial cases.

참고문헌 (5)

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

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