Inequalities for B-convex functions via generalized fractional integral

被引：0

作者：

Yesilce, Ilknur ^{[1
]}

机构：

[1] Aksaray Univ, Fac Sci & Letters, Aksaray, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年

关键词：

Generalized fractional integral; Hermite-Hadamard inequality; B-convex functions; Abstract convexity; B-1-CONVEX SETS;

D O I：

10.1186/s13660-019-2150-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, fractional calculus has become a very popular and important area. Specially, fractional integral inequalities have been studied by different authors. In this article, we give new Hermite-Hadamard type inequalities for B-convex functions via Riemann-Liouville and Hadamard fractional integrals. Also, we show that the inequalities involve the fractional integrals of a function with respect to the function g which are the more general form of these obtained Hermite-Hadamard inequalities.

引用

页数：15

共 37 条

[1] B-convex sets and functions
Adilov, G.
Rubinov, A. M.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2006, 27 (3-4) : 237 - 257
[2] Adilov G, 2012, HACET J MATH STAT, V41, P723
[3] B-1-CONVEX SETS AND B-1-MEASURABLE MAPS
Adilov, G.
Yesilce, I.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (02) : 131 - 141
[4] Adilov GR, 2011, MATH INEQUAL APPL, V14, P45
[5] Hermite-hadamard-type inequalities for increasing positively homogeneous functions
Adilov, G. R.
Kemali, S.
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007, 2007 (1)
[6] Adilov G, 2018, J NONLINEAR CONVEX A, V19, P669
[7] Adilov G, 2017, J CONVEX ANAL, V24, P505
[8] Adilov G, 2009, MATH INEQUAL APPL, V12, P33
[9] Abstract Convexity and Hermite-Hadamard Type Inequalities
Adilov, Gabil R.
Kemali, Serap
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
[10] Fractional differential equations for the generalized Mittag-Leffler function
Agarwal, Praveen
Al-Mdallal, Qasem
Cho, Yeol Je
Jain, Shilpi
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,

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