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
相关论文
共 50 条
  • [41] HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR HARMONICALLY RELATIVE PREINVEX FUNCTIONS
    Afzal, Sadia
    Hussain, Sabir
    Latif, Muhammad Amer
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (03): : 75 - 97
  • [42] Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
    Wang, Yan
    Zheng, Miao-Miao
    Qi, Feng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [43] Hermite-Hadamard type inequalities for operator s-preinvex functions
    Wang, Shu-Hong
    Liu, Xi-Min
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1070 - 1081
  • [44] Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
    Yan Wang
    Miao-Miao Zheng
    Feng Qi
    Journal of Inequalities and Applications, 2014 (1)
  • [45] Hermite-Hadamard type inequalities for differentiable h(phi)-preinvex functions
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    Khan, Sundas
    ARABIAN JOURNAL OF MATHEMATICS, 2015, 4 (01) : 63 - 76
  • [46] Some Hermite–Hadamard type inequalities for generalized h-preinvex function via local fractional integrals and their applications
    Wenbing Sun
    Advances in Difference Equations, 2020
  • [47] Hermite-Hadamard Type Inequalities For Conformable Integrals Via Preinvex Functions
    Khurshid, Yousaf
    Khan, Muhammad Adil
    APPLIED MATHEMATICS E-NOTES, 2021, 21 : 437 - 450
  • [48] INEQUALITIES FOR THE DERIVATIVES OF A BOUNDED HARMONIC FUNCTION
    VERBLUNSKY, S
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1948, 44 (02): : 155 - 158
  • [49] Integral Inequalities for Generalized Preinvex Functions
    Rashid, Saima
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Safdar, Farhat
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (10): : 77 - 91
  • [50] Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
    Ozcan, Serap
    AIMS MATHEMATICS, 2020, 5 (02): : 1505 - 1518
12345