Main Article Content
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.
Keywords
Majorization theorem
Hermite's interpolating polynomial
(m
n -m) interpolating polynomial
two-point Taylor interpolating polynomial
Cebysev functional
nexponentially convex function
mean value theorems
Stolarsky type means.
Article Details
How to Cite
Khan, M. A., Latif, N., & Pecaric, J. (2016). MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE’S POLYNOMIAL. Journal of the Indonesian Mathematical Society, 22(1), 1–25. https://doi.org/10.22342/jims.22.1.251.1-25
