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Problemy Analiza — Issues of Analysis, 2016, Volume 5(23), Issue 1, Pages 3–20
DOI: https://doi.org/10.15393/j3.art.2016.3070 (Mi pa204) 		 
On inequalities of Hermite–Hadamard type involving an $s$-convex function with applications

Z. Liuab

a University of Science and Technology Liaoning, Institute of Applied Mathematics, School of Science, Anshan 114051, Liaoning, China
b Room 2004, 4 Lane 123, Guiping Road, Shanghai 200233, China
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DOI: https://doi.org/10.15393/j3.art.2016.3070
Abstract: Motivated by a recent paper, the author provides some new integral inequalities of Hermite–Hadamard type involving the product of an $s$-convex function and a symmetric function and applies these new established inequalities to construct inequalities for special means.
Keywords: Hermite–Hadamard's integral inequality; $s$-convex function; symmetric function; Hölder inequality; mean.
Received: 27.03.2016
Revised: 22.06.2016
Accepted: 15.06.2016
Bibliographic databases:
Document Type: Article
UDC: 517.51, 517.38
MSC: 26D15
Language: English
Citation: Z. Liu, “On inequalities of Hermite–Hadamard type involving an $s$-convex function with applications”, Probl. Anal. Issues Anal., 5(23):1 (2016), 3–20
Citation in format AMSBIB
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\by Z.~Liu
\paper On inequalities of Hermite--Hadamard type involving an $s$-convex function with applications
\jour Probl. Anal. Issues Anal.
\yr 2016
\vol 5(23)
\issue 1
\pages 3--20
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\crossref{https://doi.org/10.15393/j3.art.2016.3070}
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\elib{https://elibrary.ru/item.asp?id=27183168}
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