Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions

被引：7

作者：

Kashuri, Artion ^{[1
]}

Sahoo, Soubhagya Kumar ^{[2
]}

Mohammed, Pshtiwan Othman ^{[3
]}

Al-Sarairah, Eman ^{[4
,5
]}

Hamed, Y. S. ^{[6
]}

机构：

[1] Univ Ismail Qemali, Fac Tech & Nat Sci, Dept Math, Vlora 9400, Albania

[2] CV Raman Global Univ, Dept Math, Bhubaneswar 752054, India

[3] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 46001, Iraq

[4] Khalifa Univ, Dept Math, POB 127788, Abu Dhabi, U Arab Emirates

[5] Al Hussein Bin Talal Univ, Dept Math, POB 20, Maan 71111, Jordan

[6] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 03期

关键词：

Hermite-Hadamard inequalities; subadditive functions; convex functions; fractional integral operators with an exponential kernel; Holder's inequality; power-mean inequality; numerical analysis; CONVEX-FUNCTIONS;

D O I：

10.3390/sym15030748

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The class of symmetric function interacts extensively with other types of functions. One of these is the class of convex functions, which is closely related to the theory of symmetry. In this paper, we obtain some new fractional Hermite-Hadamard inequalities with an exponential kernel for subadditive functions and for their product, and some known results are recaptured. Moreover, using a new identity as an auxiliary result, we deduce several inequalities for subadditive functions pertaining to the new fractional integrals involving an exponential kernel. To validate the accuracy of our results, we offer some examples for suitable choices of subadditive functions and their graphical representations.

引用

页数：15

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