Some New Hermite-Hadamard Type Inequalities Pertaining to Generalized Multiplicative Fractional Integrals

被引：21

作者：

Kashuri, Artion ^{[1
]}

Sahoo, Soubhagya Kumar ^{[2
]}

Aljuaid, Munirah ^{[3
]}

Tariq, Muhammad ^{[4
,5
]}

De La sen, Manuel ^{[6
]}

机构：

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

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

[3] Northern Border Univ, Coll Sci, Dept Math, Ar Ar 73213, Saudi Arabia

[4] Mehran UET, Dept Basic Sci & Related Studies, Jamshoro 76062, Pakistan

[5] Balochistan Residential Coll, Dept Math, Loralai 84800, Pakistan

[6] Univ Basque Country, Inst Res & Dev Proc, Fac Sci & Technol, Dept Elect & Elect, Leioa 48940, Spain

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 04期

关键词：

generalized multiplicative fractional integrals; Hermite-Hadamard type inequalities; multiplicative convex functions; Holder's inequality; power mean inequality; numerical analysis; LOG-CONVEX FUNCTIONS; CALCULUS;

D O I：

10.3390/sym15040868

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：

There is significant interaction between the class of symmetric functions and other types of functions. The multiplicative convex function class, which is intimately related to the idea of symmetry, is one of them. In this paper, we obtain some new generalized multiplicative fractional Hermite-Hadamard type inequalities for multiplicative convex functions and for their product. Additionally, we derive a number of inequalities for multiplicative convex functions related to generalized multiplicative fractional integrals utilising a novel identity as an auxiliary result. We provide some examples for the appropriate selections of multiplicative convex functions and their graphical representations to verify the authenticity of our main results.

引用

页数：15

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