On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator

Akhtar Abbas; Shahid Mubeen; Aziz Khan; Thabet Abdeljawad

doi:10.1016/j.heliyon.2025.e41702

On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator

Akhtar Abbas^*, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type. By fixing the values of functions, specific situations derived from previously established findings are shown. The ultimate purpose of this work is to investigate the Grüss-type integral inequalities with the Saigo k-integral operator, a more generalized integral operator. We also elaborate on a few more outcomes and specific instances of the primary findings.

Original language	English
Article number	e41702
Journal	Heliyon
Volume	11
Issue number	2
DOIs	https://doi.org/10.1016/j.heliyon.2025.e41702
Publication status	Published - 30 Jan 2025
Externally published	Yes

Keywords

Generalized hypergeometric function
Grüss integral inequalities
Saigo's k-fractional integral operator

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10.1016/j.heliyon.2025.e41702

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title = "On some integral inequalities of Gr{\"u}ss type involving the generalized fractional Saigo k-integral operator",

abstract = "Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Gr{\"u}ss type. By fixing the values of functions, specific situations derived from previously established findings are shown. The ultimate purpose of this work is to investigate the Gr{\"u}ss-type integral inequalities with the Saigo k-integral operator, a more generalized integral operator. We also elaborate on a few more outcomes and specific instances of the primary findings.",

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AU - Abbas, Akhtar

AU - Mubeen, Shahid

AU - Khan, Aziz

AU - Abdeljawad, Thabet

PY - 2025/1/30

Y1 - 2025/1/30

N2 - Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type. By fixing the values of functions, specific situations derived from previously established findings are shown. The ultimate purpose of this work is to investigate the Grüss-type integral inequalities with the Saigo k-integral operator, a more generalized integral operator. We also elaborate on a few more outcomes and specific instances of the primary findings.

AB - Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type. By fixing the values of functions, specific situations derived from previously established findings are shown. The ultimate purpose of this work is to investigate the Grüss-type integral inequalities with the Saigo k-integral operator, a more generalized integral operator. We also elaborate on a few more outcomes and specific instances of the primary findings.

KW - Generalized hypergeometric function

KW - Grüss integral inequalities

KW - Saigo's k-fractional integral operator

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DO - 10.1016/j.heliyon.2025.e41702

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JO - Heliyon

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ER -

On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator

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Keywords

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