Advancements in Bullen-type inequalities via fractional integral operators and their applications

被引：0

作者：

Samraiz, Muhammad ^{[1
]}

Hassan, Zohaib ^{[1
]}

Naheed, Saima ^{[1
]}

Vivas-Cortez, Miguel ^{[2
]}

Ali, Rifaqat ^{[3
]}

Lamoudan, Tarik ^{[3
]}

机构：

[1] Univ Sargodha, Dept Math, POB 40100, Sargodha, Pakistan

[2] Pontificia Univ Catolica Ecuador, Fac Ciencias Exactas & Nat, Ave 12 octubre 1076,Apartado,17-01-2184, Quito, Ecuador

[3] King Khalid Univ, Appl Coll Mohayil Asir, Dept Math, Abha, Saudi Arabia

来源：

HELIYON | 2024年 / 10卷 / 17期

关键词：

Bullen-type inequalities; 2D and 3D graphs; Error estimates; H & ouml; lder's inequality; Fractional integrals; CALCULUS;

D O I：

10.1016/j.heliyon.2024.e37246

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：

In this paper, we investigate Bullen-type inequalities applicable to functions that are twice- differentiable. To explore these advanced inequalities, we utilize generalized convexity and Riemann-type fractional integrals. A comparative analysis is provided to highlight the more refined inequalities from among the explored results. By exploring the limiting cases, a relation with existing literature is established. Several examples are also presented to illustrate the outcomes and their accuracy is validated through graphical analysis. Additionally, applications in generalized means are also discussed.

引用

页数：18

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