MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL

M. Adil Khan
N. Latif
J. Pecaric

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Publication date

May 2016

DOI

10.22342/jims.22.1.251.1-25

Publisher

Indonesian Mathematical Society

ISSN

2460-0245

Journal

2460-0245

Abstract

The Hermite polynomial and Green function are used to construct the 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.22.1.251.1-2

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MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL

Abstract

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MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL

Abstract

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