Some fractional integral inequalities of type Hermite–Hadamard through convexity

被引：0

作者：

Shahid Qaisar

Jamshed Nasir

Saad Ihsan Butt

Asma Asma

Farooq Ahmad

Muhammad Iqbal

Sajjad Hussain

机构：

[1] COMSATS University Islamabad,Department of Mathematics

[2] COMSATS University Islamabad,Department of Mathematics

[3] NANYANG Technological University,School of Mechanical and Aerospace Engineering

[4] Punjab Higher Education Department (HED),undefined

[5] University of Engineering and Technology,undefined

来源：

Journal of Inequalities and Applications | / 2019卷

关键词：

Hermite–Hadamard’s inequality; Convex functions; Power-mean inequality; Riemann–Liouville fractional integration; 26A15; 26A51; 26D10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present article, the authors have established some Hermite–Hadamard type integral inequalities via Riemann–Liouville fractional integrals that generalize Hermite–Hadamard type inequalities and a few other results (Dragomir and Agarwal in Appl. Math. Lett. 11(5):91–95, 1998; Dragomir, Chob and Kimc in J. Math. Anal. Appl. 245(2):489–501, 2000; Yang, Hwang and Tseng in Comput. Math. Appl. 47(2–3):207–216, 2004).

引用

共 50 条

[1] Some fractional integral inequalities of type Hermite-Hadamard through convexity
Qaisar, Shahid
Nasir, Jamshed
Butt, Saad Ihsan
Asma, Asma
Ahmad, Farooq
Iqbal, Muhammad
Hussain, Sajjad
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[2] On Some Fractional Integral Inequalities of Hermite-Hadamard's Type through Convexity
Qaisar, Shahid
Nasir, Jamshed
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[J]. SYMMETRY-BASEL, 2019, 11 (02):
[3] GENERALISATIONS OF INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE THROUGH CONVEXITY
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[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2013, 88 (02) : 320 - 330
[4] New Integral Inequalities of the Type of Hermite-Hadamard Through Quasi Convexity
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[5] On some Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities
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[J]. JOURNAL OF SCIENCE AND ARTS, 2022, (04): : 941 - 952
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