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The Hermite-Hadamard inequality for s-Convex functions in the third sense

Authors :
Sevda Sezer
Source :
AIMS Mathematics, Vol 6, Iss 7, Pp 7719-7732 (2021)
Publication Year :
2021
Publisher :
AIMS Press, 2021.

Abstract

In this paper, the Hermite-Hadamard inequality for $ s $-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented. Also, the new functions based on the integral and double integral of $ s $-convex functions in the third sense are defined and under certain conditions, the third sense $ s $-convexity of these functions are shown and some inequality relations for these are expressed.

Details

Language :
English
ISSN :
24736988
Volume :
6
Issue :
7
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....9c50f92c0f1db953e1118564e32a6594
Full Text :
https://doi.org/10.3934/math.2021448?viewType=HTML