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

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 <i>k</i>-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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Publication Details

Journal
Heliyon
Published
2025-01-01
DOI
https://doi.org/10.1016/j.heliyon.2025.e41702
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Thabet Abdeljawad, Aziz Khan, Shahid Mubeen, AHSAN ABBAS
Heliyon
Mathematical Inequalities and Applications
article

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

Thabet Abdeljawad, Aziz Khan, Shahid Mubeen, AHSAN ABBAS
article en

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 <i>k</i>-integral operator, a more generalized integral operator. We also elaborate on a few more outcomes and specific instances of the primary findings.

HeliyonVol. 11(2)
Prince Sultan University (SA), University of Sargodha (PK), Gulf University for Science & Technology (KW), China Medical University (TW), Sefako Makgatho Health Sciences University (ZA), Baba Guru Nanak University (PK), Saveetha University (IN)
Prince Sultan University
Reduced inequalities
Openalex Percentile: Top 99%
Mathematical Inequalities and Applications
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