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

Authors

  • Waqar Afzal
  • Prof. Dr. M. Abbas Department of Mechanical Engineering Sciences, Faculty of Engineering and theBuilt Environment, Doornfontein Campus, University of Johannesburg, South Africa
  • Prof. Dr. Jorge E. Mac´ıas-D´ıaz Department of Mathematics and Didactics of Mathematics, Tallinn University, Tallinn 10120 , Estonia
  • Dr. Mutum Zico Meetei Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia
  • Mehreen S. Khan Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia
  • Armando Gallegos Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno 47460, Jalisco, Mexico

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5790

Keywords:

Simpson, Tensorial Hilbert Spaces, Gradient Descent inequality;, Gradient Descent inequality

Abstract

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.

References

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Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Waqar Afzal, Prof. Dr. M. Abbas, Prof. Dr. Jorge E. Mac´ıas-D´ıaz, Dr. Mutum Zico Meetei, Mehreen S. Khan, Armando Gallegos

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How to Cite

Gradient Descent and Twice Differentiable Simpson-Type Inequalities via K-Riemann-Liouville Fractional Operators in Function Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5790. https://doi.org/10.29020/nybg.ejpam.v18i1.5790