Jensen's inequality and $m$-convex functions

Document Type : Research Paper


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



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.


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