A variant of Jensen-type inequality and related results for harmonic convex functions

In this article, we present a variant of discrete Jensen-type inequality for harmonic convex functions and establish a Jensen-type inequality for harmonic h-convex functions. Furthermore, we found a variant of Jensen-type inequality for harmonic h-convex functions.

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Podrobná bibliografia
Vydané v:	AIMS mathematics Ročník 5; číslo 6; s. 6404 - 6418
Hlavní autori:	Abbas Baloch, Imran, Ahmad Mughal, Aqeel, Chu, Yu-Ming, Ul Haq, Absar, De La Sen, Manuel
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	AIMS Press 01.01.2020
Predmet:	convex functions discrete hölder inequality harmonic convex functions harmonic h-convex functions hermite-hadamard-type inequality jensen-type inequality
ISSN:	2473-6988, 2473-6988
On-line prístup:	Získať plný text
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Popis
Shrnutí:	In this article, we present a variant of discrete Jensen-type inequality for harmonic convex functions and establish a Jensen-type inequality for harmonic h-convex functions. Furthermore, we found a variant of Jensen-type inequality for harmonic h-convex functions.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2020412