GENERALIZATION OF MAJORIZATION THEOREM VIA TAYLOR'S FORMULA

被引：0

作者：

Butt, Saad Ihsan ^{[1
]}

Kvesic, Ljiljanka ^{[2
]}

Pecaric, Josip ^{[3
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Lahore, Pakistan

[2] Univ Mostar, Fac Sci & Educ, Matice Hrvatske Bb, Mostar 88000, Bosnia & Herceg

[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2016年 / 19卷 / 04期

关键词：

Convex function; divided difference; Taylor's formula; Cebysev functional; Gruss inequality; Ostrowski inequality; exponential convexity; BERWALD INEQUALITIES; FAVARD;

D O I：

10.7153/mia-19-92

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give generalization of majorization theorem for the class of n-convex functions by using Taylor's formula. We use inequalities for the. Cebysev functional to obtain bounds for the identities related to generalizations of majorization inequalities. We present mean value theorems and n-exponential convexity for the functional obtained from the generalized majorization inequalities. At the end we discuss the results for particular families of function and give means.

引用

页码：1257 / 1269

页数：13

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