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Problemy Analiza — Issues of Analysis, 2019, Volume 8(26), Issue 2, Pages 28–36
DOI: https://doi.org/10.15393/j3.art.2019.5790 (Mi pa261) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A note on characterization of $h$-convex functions via Hermite–Hadamard type inequality

M. Rostamian Delavara, S. S. Dragomirb, M. De La Senc

a Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
b College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia
c Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia) - Aptdo. 644 - Bilbao, Bilbao, 48080, Spain
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DOI: https://doi.org/10.15393/j3.art.2019.5790
Abstract: A characterization of $h$-convex function via Hermite–Hadamard inequality related to the $h$-convex functions is investigated. In fact it is determined that under what conditions a function is $h$-convex, if it satisfies the $h$-convex version of Hermite–Hadamard inequality.
Keywords: $h$-convex function, Hermite–Hadamard inequality.
Received: 18.12.2018
Revised: 11.03.2019
Accepted: 12.03.2019
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 26A51, 26D15, 52A01
Language: English
Citation: M. Rostamian Delavar, S. S. Dragomir, M. De La Sen, “A note on characterization of $h$-convex functions via Hermite–Hadamard type inequality”, Probl. Anal. Issues Anal., 8(26):2 (2019), 28–36
Citation in format AMSBIB
\Bibitem{RosDraDe 19}
\by M.~Rostamian Delavar, S.~S.~Dragomir, M.~De La Sen
\paper A note on characterization of $h$-convex functions via Hermite--Hadamard type inequality
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 2
\pages 28--36
\mathnet{http://mi.mathnet.ru/pa261}
\crossref{https://doi.org/10.15393/j3.art.2019.5790}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000471801400002}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Problemy Analiza — Issues of Analysis
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