On a generalization of the Opial inequality-Reference-Cited by-同舟云学术

On a generalization of the Opial inequality

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Bosch Paul¹,Portilla Ana²,Rodriguez Jose M.³,Sigarreta Jose M.⁴

Affiliation:

1. Facultad de Ingeniería, Universidad del Desarrollo , Santiago de Chile , Chile

2. Mathematics and Computer Science Department, St. Louis University , Madrid Campus , Spain

3. Departamento de Matemáticas, Universidad Carlos III de Madrid , 28911 Leganés , Spain

4. Facultad de Matemáticas, Universidad Autónoma de Guerrero , Acapulco , Guerrero , México

Abstract

Abstract Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems. In this work, some new Opial-type inequalities are given and applied to generalized Riemann-Liouville-type integral operators.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2023-0149/pdf

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