INEQUALITIES FOR HYPERBOLIC TYPE HARMONIC PREINVEX FUNCTION

被引：0
|
作者：
Sahoo, Soubhagya Kumar [1 ]
Kodamasingh, Bibhakar [1 ]
Latif, Muhammad amer [2 ]
机构：
[1] Siksha O Anusandhan Deemed be Univ, Inst Tech Educ & Res, Dept Math, Bhubaneswar 751030, India
[2] King Faisal Univ, Dept Basic Sci, Deanship Preparatory Year, Al Hasa 31982, Saudi Arabia
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 05期
关键词：
Preinvex function; Hyperbolic type convex function; fractional calculus; H & ouml; lder integral inequality; Hermite-Hadamard inequality; HADAMARD; CONVEXITY;
D O I：
10.46793/KgJMat2405.697S
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we have introduced a new class of preinvexity namely hyperbolic type harmonic preinvex functions and to support this new definition, some of its algebraic properties are elaborated. By using this new class of preinvexity, we have established a few Hermite-Hadamard type integral inequalities. Some novel refinements of Hemite-Hadamard type inequalities for hyperbolic type harmonic preinvex functions are presented as well. Finally, the Riemann-Liouville fractional version of the Hermite-Hadamard Inequality is established.
引用
收藏
页码：697 / 711
页数：15
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