NEW GENERALIZED RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS

被引：8

作者：

Mohammed, Pshtiwan Othman ^{[1
]}

机构：

[1] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Kurdistan Regio, Iraq

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 02期

关键词：

Riemann-Liouville fractional integral; convex function; Hermite-Hadamard inequality; convex functions; trapezoid formula; HADAMARD-TYPE INEQUALITIES;

D O I：

10.7153/jmi-2021-15-38

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the literature, the right-side of Hermite-Hadamard's inequality is called trapezoid type inequality. In this paper, we obtain new integral inequalities of trapezoid type for convex functions involving generalized Riemann-Liouville fractional integrals (psi-Riemann-Liouville fractional integrals). Our obtained inequalities generalize some recent classical integral inequalities and Riemann-Liouville fractional integral inequalities which are established in earlier works.

引用

页码：511 / 519

页数：9

共 32 条

[11] Lian TY, 2018, J INEQUAL APPL, DOI 10.1186/s13660-018-1829-1
[12] Some new Hermite-Hadamard type inequalities for MT-convex functions on differentiable coordinates
Mohammed, P. O.
[J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2018, 30 (02) : 258 - 262
[13] MOHAMMED P. O., NEW VERSION HERMITE
[14] Mohammed P. O, 2016, Turkish J. Anal. Number Theory, V4, P135
[15] Mohammed P. O., 2018, Turk. J. Anal. Number Theory, V6, P125
[16] On the Generalized Hermite-Hadamard Inequalities via the Tempered Fractional Integrals
Mohammed, Pshtiwan Othman
Sarikaya, Mehmet Zeki
Baleanu, Dumitru
[J]. SYMMETRY-BASEL, 2020, 12 (04):
[17] On generalized fractional integral inequalities for twice differentiable convex functions
Mohammed, Pshtiwan Othman
Sarikaya, Mehmet Zeki
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 372 (372)
[18] Modification of certain fractional integral inequalities for convex functions
Mohammed, Pshtiwan Othman
Abdeljawad, Thabet
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[19] New integral inequalities for preinvex functions via generalized beta function
Mohammed, Pshtiwan Othman
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (04) : 539 - 550
[20] Hermite-Hadamard inequalities for Riemann-Liouville fractional integrals of a convex function with respect to a monotone function
Mohammed, Pshtiwan Othman
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (03) : 2314 - 2324

← 1 2 3 4 →