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M. Adil Khan, M. Adil
Department of Mathematics, University of Peshawar
Mathematics

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MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL Khan, M. Adil; Latif, N.; Pecaric, J.
Journal of the Indonesian Mathematical Society Volume 22 Number 1 (April 2016)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.22.1.251.1-25

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
Co-Authors J. Pecaric, J. N. Latif, N.