Generalizations of Hölder's and some related inequalities

DOI10.1016/j.camwa.2010.11.015zbMath1211.26021OpenAlexW2033406799MaRDI QIDQ534983

Zhicheng Hu, Hua Qiang

Publication date: 10 May 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.11.015

zbMATH Keywords

generalizationrefinementHölder's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (9)

Extensions of recent combinatorial refinements of discrete and integral Jensen inequalities ⋮ Some generalizations of Aczél, Bellman's inequalities and related power sums ⋮ Some estimations of the Jensen difference and applications ⋮ Power series inequalities via Young's inequality with applications ⋮ Some further generalizations of Hölder's inequality and related results on fractal space ⋮ Generalizations of Hölder inequality and some related results on time scales ⋮ Probability inequalities for decomposition integrals ⋮ Some reverse Hölder inequalities with Specht's ratio on time scales ⋮ New refinements for integral and sum forms of Hölder inequality

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• A new sharpened and generalized version of Hölder's inequality and its applications
• Generalization of the Cauchy-Schwarz inequality
• Generalizations of Aczél's inequality and Popoviciu's inequality
• Sharpening Hölder's inequality

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