Gradient Descent and Twice Differentiable Simpson-Type Inequalities via K-Riemann-Liouville Fractional Operators in Function Spaces

被引：0

作者：

Afzal, Waqar ^{[1
]}

Abbas, Mujahid ^{[2
,3
]}

Macias-Diaz, Jorge E. ^{[4
,5
]}

Meetei, Mutum Zico ^{[6
]}

Khan, Mehreen S. ^{[7
]}

Gallegos, Armando ^{[8
]}

机构：

[1] Govt Coll Univ, Abdus Salam Sch Math Sci, 68-B New Muslim Town, Lahore 54600, Pakistan

[2] Univ Johannesburg, Fac Engn & Built Environm, Dept Mech Engn Sci, Doornfontein Campus, Johannesburg, South Africa

[3] China Med Univ, Dept Med Res, Taichung 406040, Taiwan

[4] Tallinn Univ, Dept Math & Didact Math, EE-10120 Tallinn, Estonia

[5] Autonomous Univ Aguascalientes, Dept Math & Phys, Aguascalientes 20100, Mexico

[6] Jazan Univ, Coll Sci, Dept Math, POB 114, Jazan 45142, Saudi Arabia

[7] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia

[8] Univ Guadalajara, Univ Ctr Los Lagos, Guadalajara 47460, Jalisco, Mexico

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2025年 / 18卷 / 01期

关键词：

Simpson; Hilbert spaces; generalized convex mappings; INTERVAL-ORDER RELATIONS; INTEGRAL-OPERATORS; MAPPINGS;

D O I：

10.29020/nybg.ejpam.v18i1.5790

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates novel properties of Hilbert spaces through tensor operations and establishes new bounds for Simpson-type inequalities using fractional integral operators. The results contribute to advancing the theoretical understanding of these mathematical structures and their applications in functional analysis and related fields.

引用

页数：30

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