On Opial-type inequality for a generalized fractional integral operator

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Abstract: 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.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: On Opial-type inequality for a generalized fractional integral operator ; volume:55 ; number:1 ; year:2022 ; pages:695-709 ; extent:15
Demonstratio mathematica ; 55, Heft 1 (2022), 695-709 (gesamt 15)

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

DOI: 10.1515/dema-2022-0149

URN: urn:nbn:de:101:1-2022101214364127143352

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:21 AM CEST

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

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On Opial-type inequality for a generalized fractional integral operator

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Other Objects (12)

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Some new inequalities for generalized fractional conformable integral operators

Generalized Hermite-Hadamard type inequalities involving fractional integral operators

The Minkowski inequalities via generalized proportional fractional integral operators

Generalized fractional integral operators and the multivariable H-function

The Minkowski inequality involving generalized k-fractional conformable integral

Integral inequalities for s-convex functions via generalized conformable fractional integral operators

Certain Grüss type inequalities involving the generalized fractional integral operator

Opial integral inequalities for generalized fractional operators with nonsingular kernel

New estimates considering the generalized proportional Hadamard fractional integral operators

Minkowski’s inequality for the AB-fractional integral operator

Enlarged integral inequalities through recent fractional generalized operators

Certain inequalities via generalized proportional Hadamard fractional integral operators

Some new inequalities for generalized fractional conformable integral operators

Generalized Hermite-Hadamard type inequalities involving fractional integral operators

The Minkowski inequalities via generalized proportional fractional integral operators

Generalized fractional integral operators and the multivariable H-function

The Minkowski inequality involving generalized k-fractional conformable integral

Integral inequalities for s-convex functions via generalized conformable fractional integral operators

Certain Grüss type inequalities involving the generalized fractional integral operator

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New estimates considering the generalized proportional Hadamard fractional integral operators

Minkowski’s inequality for the AB-fractional integral operator

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