Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder

Shanhe Wu, Muhammad Adil Khan and Hidayat Ullah Haleemzai
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Shanhe Wu: Department of Mathematics, Longyan University, Longyan 364012, China
Muhammad Adil Khan: Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
Hidayat Ullah Haleemzai: Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

Mathematics, 2019, vol. 7, issue 8, 1-7

Abstract: The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder. Our results improve several results obtained in earlier literatures. As an application, the result is used for deriving a new fractional inequality.

Keywords: majorization inequality; twice differentiable convex functions; refined inequality; Taylor theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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