Jensen's inequality and $m$-convex functions

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, University of Jiroft, Iran

2 Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

10.22072/wala.2022.537949.1344

Abstract

In this paper, we generalize the Jensen's inequality for $m$-convex functions and we present a correction of Jensen's inequality which is a better than the generalization of this inequality for $m$-convex functions. ّFinally we have found new lower and upper bounds for Jensen's discrete inequality.

Keywords


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