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

作     者:Abbas, Akhtar Mubeen, Shahid Khan, Aziz Abdeljawad, Thabet 

作者机构:Department of Mathematics University of Sargodha Sargodha 40162 Pakistan Department of Mathematics Baba Guru Nanak University Nankana Sahib Pakistan Department of Mathematics Saveetha School of Engineering Saveetha Institute of Medical and Technical Sciences Saveetha University Tamil Nadu Chennai 602105 India Department of Mathematics and Science Prince Sultan University P.O. Box 66833 Riyadh 11586 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 

出 版 物:《Heliyon》 (Heliyon)

年 卷 期:2025年第11卷第2期

页      面:e41702页

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

摘      要: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. © 2025 The Author(s)

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