Jensen-Mercer variant of Hermite-Hadamard type inequalities via Atangana-Baleanu fractional operator

被引：32

作者：

Liu, Jia-Bao ^{[1
]}

Butt, Saad Ihsan ^{[2
]}

Nasir, Jamshed ^{[3
]}

Aslam, Adnan ^{[4
]}

Fahad, Asfand ^{[5
]}

Soontharanon, Jarunee ^{[6
]}

机构：

[1] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China

[2] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan

[3] Virtual Univ, Lahore Campus, Lahore, Pakistan

[4] Univ Engn & Technol, Lahore RCET, Lahore, Pakistan

[5] COMSATS Univ Islamabad, Vehari Campus Campus, Vehari, Pakistan

[6] King Mongkus Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Bangkok 10800, Thailand

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 02期

关键词：

Jensen-Mercer inequality; Atangana-Baleanu fractional operators; q-digamma function; convex function;

D O I：

10.3934/math.2022121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new Mercer variants of Hermite-Hadamard (HH) type inequalities via Atangana-Baleanu (AB) fractional integral operators pertaining non-local and non-singular kernels. We establish trapezoidal type identities for fractional operator involving non-singular kernel and give Jensen-Mercer (JM) variants of Hermite-Hadamard type inequalities for differentiable mapping Upsilon possessing convex absolute derivatives. We establish connections of our results with several renowned results in the literature and also give applications to special functions.

引用

页码：2123 / 2140

页数：18

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