MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL

被引：0

作者：

Khan, M. Adil ^{[1
]}

Latif, N. ^{[2
]}

Pecaric, J. ^{[3
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

[2] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan

[3] Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipov 28a, Zagreb 1000, Croatia

来源：

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY | 2016年 / 22卷 / 01期

关键词：

Majorization theorem; Hermite's interpolating polynomial; (m; n - m) interpolating polynomial; two-point Taylor interpolating polynomial; Cebysev functional; n-exponentially convex function; mean value theorems; Stolarsky type means;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1 / 25

页数：25

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