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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


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.


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

Primary: 47A63
Secondary: 47B10

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

Rights: Copyright © 2016 Tusi Mathematical Research Group

Vol.1 • No. 2 • Autumn 2016
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