On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator
Akhtar Abbas,
Shahid Mubeen,
Aziz Khan,
Thabet Abdeljawad
Affiliations
Akhtar Abbas
Department of Mathematics, University of Sargodha, Sargodha 40162, Pakistan; Corresponding authors.
Shahid Mubeen
Department of Mathematics, University of Sargodha, Sargodha 40162, Pakistan; Department of Mathematics, Baba Guru Nanak University, Nankana Sahib, Pakistan
Aziz Khan
Department of Mathematics and Science, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia
Thabet Abdeljawad
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu 602105, India; Department of Mathematics and Science, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia; Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, 32093, Kuwait; Department of Medical Research, China Medical University, Taichung, 40402, Taiwan; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, South Africa; Corresponding authors.
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.