Journal of the Indonesian Mathematical Society
Volume 22 Number 1 (April 2016)

MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL

Khan, M. Adil (Unknown)
Latif, N. (Unknown)
Pecaric, J. (Unknown)



Article Info

Publish Date
03 May 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

Copyrights © 2016






Journal Info

Abbrev

JIMS

Publisher

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...