Some fractional integral inequalities involving m-convex functions

被引：0

作者：

Jleli, Mohamed ^{[1
]}

O'Regan, Donal ^{[2
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

AEQUATIONES MATHEMATICAE | 2017年 / 91卷 / 03期

关键词：

m-convexity; Inequalities; Fractional integral with respect to another function; OSTROWSKI-TYPE INEQUALITIES; (ALPHA;

D O I：

10.1007/s00010-017-0470-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some fractional integral inequalities involving m-convex functions are established. The presented results are generalizations of the obtained inequalities in Dragomir and Toader (Babes-Bolyai Math 38:21-28, 1993).

引用

页码：479 / 490

页数：12

共 22 条

[1]

Alsulami HH, 2015, J INEQUAL APPL, DOI 10.1186/s13660-015-0746-9

[2]

[Anonymous], 2006, THEORY APPL FRACTION

[3]

[Anonymous], 1993, Stud. U. Babes-Bol. Mat.

[4]

[Anonymous], 2002, TAMKANG J MATH

[5]

Bakula M.K., 2006, J INEQUAL PURE APPL, V7, P1

[6]

Belarbi S., 2009, J. Inequal. Pure Appl. Math., V10, P1

[7] Hartman-Wintner-type inequalities for a class of nonlocal fractional boundary value problems [J].

Cabrera, I. ;

Sadarangani, K. ;

Samet, B. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (01) :129-136

[8]

Dahmani Z., 2010, Int. J. Nonlinear Sci., V9, P493

[9]

Dahmani Z, 2010, BULL MATH ANAL APPL, V2, P93

[10] On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function [J].

Ferreira, Rui A. C. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (02) :1058-1063

← 1 2 3 →