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description Journal article public Journal of the Indonesian Mathematical Society

Majorization Type Inequalities Via Green Function and Hermite's Polynomial

M. Adil Khan, N. Latif, J. Pecaric
Published April 2016

Abstract

The Hermite polynomial and Green function are used to constructthe identities related to majorization type inequalities for convex function. By using Cebysev functional the bounds for the new identities are found to develop the Gruss and Ostrowski type inequalities. Further more exponential convexity together with Cauchy means is presented for linear functionals associated with the obtained inequalities.DOI : http://dx.doi.org/10.22342/jims.22.1.251.1-25

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