REFINEMENTS AND REVERSES OF FEJER'S INEQUALITIES FOR CONVEX FUNCTIONS ON LINEAR SPACES

被引：0

作者：

Dragomir, S. S. ^{[1
]}

机构：

[1] Victoria Univ, Coll Engn & Sci, POB 14428, Melbourne, MC 8001, Australia

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2020年 / 9卷 / 03期

关键词：

Convex functions; Integral inequalities; Hermite-Hadamard inequality; Fejer's inequalities; OSTROWSKI TYPE;

D O I：

10.15393/j3.art.2020.8830

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some refinements and reverses of the celebrated Fejer's inequalities for the general case of functions defined on linear spaces. The obtained bounds are in terms of the Gateaux lateral derivatives. Some applications for norms and semi-inner products in normed linear spaces are also provided.

引用

页码：99 / 118

页数：20

共 11 条

[1]

Alomari M., 2008, INT J CONT MATH SCI, V3, P1569

[2]

[Anonymous], 2002, J INEQ PURE APPL MAT

[3] New convex functions in linear spaces and Jensen's discrete inequality [J].