On Opial-type inequality for a generalized fractional integral operator

• Autorzy: Vivas-Cortez Miguel , Martínez Francisco , Valdes Juan E. Nápoles , Hernández Jorge E.

Identyfikatory

DOI

10.1515/dema-2022-0149

• Języki publikacji: EN

Abstrakty

EN

This article is aimed at establishing some results concerning integral inequalities of the Opial type in the fractional calculus scenario. Specifically, a generalized definition of a fractional integral operator is introduced from a new Raina-type special function, and with certain results proposed in previous publications and the choice of the parameters involved, the established results in the work are obtained. In addition, some criteria are established to obtain the aforementioned inequalities based on other integral operators. Finally, a more generalized definition is suggested, with which interesting results can be obtained in the field of fractional integral inequalities.

Słowa kluczowe

EN

Opial inequality; fractional integral operator; fractional calculus

PL

nierówność Opiala; operator całkowy; całkowanie ułamkowe; rachunek ułamkowy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 695--709
• Opis fizyczny: Bibliogr. 41 poz.

Twórcy

autor

Vivas-Cortez Miguel

• Pontificia Universidad Católica del Ecuador, Facultad de Ciencias Naturales y Exactas, Escuela de Ciencias Físicas y Matemáticas, Av. 12 de Octubre 1076. Apartado, Quito 17-01-2184, Ecuador

autor

Martínez Francisco

• Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, España

autor

Valdes Juan E. Nápoles

• Universidad Nacional del Nordeste, Facultad de Ciencias Exactas y Naturales y Agrimensura, Corrientes, Argentina

autor

Hernández Jorge E.

• Departamento de Técnicas Cuantitativas, Universidad Centroccidental Lisandro Alvarado, Decanato de Ciencias Económicas y Empresariales, Barquisimeto, Venezuela

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).