Fractional Versions of Hadamard-Type Inequalities for Strongly Exponentially (α, h - m)-Convex Functions

被引:0
|
作者
Li, Shasha [1 ]
Farid, Ghulam [2 ]
Rehman, Atiq Ur [2 ]
Yasmeen, Hafsa [2 ]
机构
[1] Harbin Univ Sci & Technol, Dept Math, Harbin 150000, Heilongjiang, Peoples R China
[2] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan
关键词
M-CONVEX FUNCTIONS; DIFFERENTIABLE MAPPINGS; INTEGRAL-INEQUALITIES; REAL NUMBERS;
D O I
10.1155/2021/2555974
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we prove some fractional versions of Hadamard-type inequalities for strongly exponentially (alpha, h - m)-convex functions via generalized Riemann-Liouville fractional integrals. The outcomes of this paper provide inequalities of strongly convex, strongly m-convex, strongly s-convex, strongly (alpha, m)-convex, strongly (s, m)-convex, strongly (h - m)-convex, strongly (alpha, h - m)-convex, strongly exponentially convex, strongly exponentially m-convex, strongly exponentially s-convex, strongly exponentially (s, m)-convex, strongly exponentially (h - m)-convex, and exponentially (alpha, h - m)-convex functions. The error estimations are also studied by applying two fractional integral identities.
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页数:23
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