Author:
Liu Wei,Shi Fangfang,Ye Guoju,Zhao Dafang
Abstract
AbstractThe main purpose of this paper is to study certain inequalities forcr-log-h-convex functions with an interval value. To this end, we first give a definition ofcr-log-h-convexity of interval-valued functions under thecr-order and study some properties of such functions. On this basis, we establish the Jensen-, Hermite–Hadamard-, and Fejér-type inequalities forcr-log-h-convex functions, and discuss some special cases. In addition, we give some numerical examples to illustrate the accuracy of the results obtained.
Funder
the Open Fund of National Cryosphere Desert Data Center of China
the National Key Research and Development Program of China
the Key Projects of Educational Commission of Hubei Province of China
the Foundation of Hubei Normal University
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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