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

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. Keywords: convex functions; harmon...

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Veröffentlicht in:AIMS Mathematics 2020-01, Vol.5 (6), p.6404-6418
Hauptverfasser: Abbas Baloch, Imran, Ahmad Mughal, Aqeel, Chu, Yu-Ming, Ul Haq, Absar, De La Sen, Manuel
Format: Artikel
Sprache:eng
Schlagworte:
convex functions
discrete hölder inequality
Equality
harmonic convex functions
harmonic h-convex functions
hermite-hadamard-type inequality
jensen-type inequality
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Zusammenfassung: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. Keywords: convex functions; harmonic convex functions; harmonic h-convex functions; Jensen-type inequality; discrete Holder inequality; Hermite-Hadamard-type inequality Mathematics Subject Classification: 26D15, 26A51, 26D10, 26A15
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020412