HADAMARD TYPE INEQUALITIES VIA FRACTIONAL CALCULUS IN THE SPACE OF EXP-CONVEX FUNCTIONS AND APPLICATIONS

被引：0
作者：
Ma, Li [1 ]
Yang, Guangzhengao [2 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230601, Anhui, Peoples R China
[2] Hefei Univ Technol, Sch Comp Sci & Informat Engn, Hefei 230601, Anhui, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年
基金：
中国国家自然科学基金;
关键词：
Exp-convexity; Hadamard type integral inequalities; fractional calculus; Mittag-Leffler type convexity; INTEGRAL-INEQUALITIES; COORDINATED CONVEX; REFINEMENTS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study basic properties of exp-convex functions and establish the corresponding Hadamard type integral inequalities along with fractional operators. A comparative analysis between the exp-convexity and classic convexity is discussed. Furthermore, several related integral identities and estimation of upper bounds of inequalities involved with fractional operators are proved. In addition, some indispensable propositions associated with special means are allocated to illustrate the usefulness of our main results. Besides, Mittag-Leffler type convex functions with weaker convexity than exp-convexity are also presented.
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页数：18
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