Refinements of Hölder-McCarthy inequality and Young inequality

Masatoshi Fujii; Ritsuo Nakamoto

doi:10.22034/aot.1610.1037

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Home > Journals > Adv. Oper. Theory > Volume 1 > Issue 2 > Article

Autumn 2016 Refinements of Hölder-McCarthy inequality and Young inequality

Masatoshi Fujii, Ritsuo Nakamoto

Adv. Oper. Theory 1(2): 184-188 (Autumn 2016). DOI: 10.22034/aot.1610.1037

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Abstract

We refine the Hölder-McCarthy inequality. The point is the convexity of the function induced by Hölder-McCarthy inequality. Also we discuss the equivalent between refined Hölder-McCarthy inequality and refined Young inequality with type of Kittaneh and Manasrah.

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Masatoshi Fujii. Ritsuo Nakamoto. "Refinements of Hölder-McCarthy inequality and Young inequality." Adv. Oper. Theory 1 (2) 184 - 188, Autumn 2016. https://doi.org/10.22034/aot.1610.1037

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Received: 24 October 2016; Accepted: 13 December 2016; Published: Autumn 2016

First available in Project Euclid: 4 December 2017

zbMATH: 1368.47018

MathSciNet: MR3723619

Digital Object Identifier: 10.22034/aot.1610.1037

Subjects:

Primary: 47A63

Secondary: 47B10

Keywords: convexity of functions , Hölder–McCarthy inequality , Young inequality

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Adv. Oper. Theory

Vol.1 • No. 2 • Autumn 2016

Tusi Mathematical Research Group

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Masatoshi Fujii, Ritsuo Nakamoto "Refinements of Hölder-McCarthy inequality and Young inequality," Advances in Operator Theory, Adv. Oper. Theory 1(2), 184-188, (Autumn 2016)

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