Hermite-Hadamard Type Inequalities for F-Convex Function Involving Fractional Integrals

被引：7

作者：

Budaka, Huseyin ^{[1
]}

Sarikaya, Mehmet Zeki ^{[1
]}

Yildiz, Mustafa Kemal ^{[2
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

[2] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, Afyon, Turkey

来源：

FILOMAT | 2018年 / 32卷 / 16期

关键词：

Hermite-Hadamard inequality; F-convex; fractional integral; DIFFERENTIABLE MAPPINGS;

D O I：

10.2298/FIL1816509B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we firstly give some properties the family F and F-convex function which are defined by B. Samet. Then, we establish Hermite-Hadamard type inequalities involving fractional integrals via F-convex function. Some previous results are also recaptured as special cases

引用

页码：5509 / 5518

页数：10

共 22 条

[1]

[Anonymous], 2006, THEORY APPL FRACTION

[2]

[Anonymous], 1993, INTRO FRACTIONAL CAL

[3]

Defnetti B., 1949, ANN MAT PUR APPL, V30, P173, DOI DOI 10.1007/BF02415006

[4]

Dragomir S. S., 2000, RGMIA Monographs

[5] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula [J].

Dragomir, SS ;

Agarwal, RP .

APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :91-95

[6]

Gorenflo R., 1997, Fractional calculus: integral and differential equations of fractional order, DOI DOI 10.1007/978-3-7091-2664-6_5

[7]

Hudzik H., 1994, Aequationes Math., V48, P100, DOI DOI 10.1007/BF01837981

[8] APPROXIMATELY CONVEX FUNCTIONS [J].

HYERS, DH ;

ULAM, SM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (05) :821-828

[9]

Jleli M, 2017, AEQUATIONES MATH, V91, P479, DOI 10.1007/s00010-017-0470-2

[10] On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function [J].

Jleli, Mohamed ;

Samet, Bessem .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03) :1252-1260

← 1 2 3 →