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

[1]

Adeel M, 2019, J INEQUAL APPL, V2019, DOI 10.1186/s13660-019-2186-4

[2] GENERALIZATION OF JENSEN'S INEQUALITY BY LIDSTONE'S POLYNOMIAL AND RELATED RESULTS [J].

Aras-Gazic, Gorana ;

Culjak, Vera ;

Pecaric, Josip ;

Vukelic, Ana .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (04) :1243-1267

[3]

Bullen P.S., 1973, PUBL ELEKTROTEH FAK, V412-460, P109

[4]

Butt S. I., 2015, Acta Univ. Apulensis, V42, P181

[5]

Butt S. I., 2017, J. Math. Comput. Sci, V7, P211

[6] SOME NEW OSTROWSKI-TYPE BOUNDS FOR THE CEBYSEV FUNCTIONAL AND APPLICATIONS [J].

Cerone, P. ;

Dragomir, S. S. .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (01) :159-170

[7]

Levinson N., 1969, J. Math. Anal. Appl, V6, P133

[8]

Mercer A.M., 2003, J. Inequal. Pure Appl. Math, V4, P73

[9] LEVINSON'S INEQUALITY FOR HILBERT SPACE OPERATORS [J].

Micic, Jadranka ;

Pecaric, Josip ;

Praljak, Marjan .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (04) :1271-1285

[10] On generalization of refinement of Jensen's inequality using Fink's identity and Abel-Gontscharoff Green function [J].

Niaz, Tasadduq ;

Khan, Khuram Ali ;

Pecaric, Josip .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,

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