Visualizing fractional inequalities through 2D and 3D graphs with applications

被引：1

作者：

Samraiz, Muhammad ^{[1
]}

Ghaffar, Muhammad Tanveer ^{[1
]}

Naheed, Saima ^{[1
]}

Rahman, Gauhar ^{[2
]}

Vivas-Cortez, Miguel ^{[3
]}

Ben Ahmed, Samia ^{[4
]}

机构：

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

[2] Hazara Univ, Dept Math & Stat, Mansehra, Pakistan

[3] Pontificia Univ Catolica Ecuador, Fac Ciencias Exactas & Nat, Quito, Ecuador

[4] King Khalid Univ, Fac Sci, Dept Chem, POB 9004, Abha, Saudi Arabia

来源：

AIN SHAMS ENGINEERING JOURNAL | 2024年 / 15卷 / 05期

关键词：

Bullen's-type inequalities; Estimates of mean differences; H & ouml; lder's inequality; Generalized fractional integrals; CALCULUS;

D O I：

10.1016/j.asej.2024.102649

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we establish a novel identity by leveraging fractional integral operators of Riemann-type. Subsequently, we employ this identity to investigate Bullen's fractional integral inequalities within the framework of classical convex functions. The validity of these innovative inequalities is verified through the visualization of 2D and 3D graphs. Furthermore, we obtain certain well-known results as special cases to our main findings and express them as remarks. Lastly, we derive differences in mean estimates, which serve as valuable tools for representing complex information, facilitating decision-making and aiding analysis in various fields.

引用

页数：20

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