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Some Refinement of Holder’s and Its Reverse Inequality
Department of Mathematics, Missouri State University, Springfield, MO, USA
Department of Mathematics, Washington State University, Pullman, WA, USA
Department of Mathematics, Missouri State University, Springfield, MO, USA
- 1 Department of Mathematics, Missouri State University, Springfield, MO, USA
- 2 Department of Mathematics, Washington State University, Pullman, WA, USA
- 3 Department of Mathematics, Missouri State University, Springfield, MO, USA
Advances in Pure Mathematics·Volume 13 (2023)·Pages 597–609·Published 31 August 2023·DOI10.4236/apm.2023.139039
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Abstract
Holder’s inequality, its refinement, and reverse have received considerable attention in the theory of mathematical analysis and differential equations. In this paper, we give some refinements of Holder’s inequality and its reverse using a simple analytical technique of algebra and calculus. Our results show many results related to holder’s inequality as special cases of the inequalities presented.
KeywordsYoung’s InequalityKittaneh-Manasrah’s InequalityIntegrable FunctionHolder’s Cauchy-Schwarz Inequality
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