On a generalization of the Opial inequality

• Autorzy: Bosch Paul , Portilla Ana , Rodriguez Jose M. , Sigarreta Jose M.

Identyfikatory

DOI

10.1515/dema-2023-0149

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Opial-type inequalities; fractional derivatives and integrals; fractional integral inequalities

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230149
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Bosch Paul

• Facultad de Ingeniería, Universidad del Desarrollo, Santiago de Chile, Chile

autor

Portilla Ana

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

autor

Rodriguez Jose M.

• Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés, Spain

autor

Sigarreta Jose M.

• Facultad de Matemáticas, Universidad Autónoma de Guerrero, Acapulco, Guerrero, México

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).