Levinson type inequalities for higher order convex functions via Abel-Gontscharoff interpolation

被引：22

作者：

Adeel, Muhammad ^{[1
]}

Khan, Khuram Ali ^{[1
]}

Pecaric, Dilda ^{[2
]}

Pecaric, Josip ^{[3
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha, Pakistan

[2] Catholic Univ Croatia, Zagreb, Croatia

[3] RUDN Univ, Moscow, Russia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期

关键词：

m-convex function; Levinson's inequality; Green functions;

D O I：

10.1186/s13662-019-2360-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Levinson type inequalities are studied for the class of higher order convex functions by using Abel-Gontscharoff interpolation. Cebysev, Gruss, and Ostrowski-type new bounds are also found for the functionals involving data points of two types.

引用

页数：13

共 16 条

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