Abbas Akhtar, Mubeen Shahid, Khan Aziz, Abdeljawad Thabet
Department of Mathematics, University of Sargodha, Sargodha 40162, Pakistan.
Department of Mathematics, Baba Guru Nanak University, Nankana Sahib, Pakistan.
Heliyon. 2025 Jan 8;11(2):e41702. doi: 10.1016/j.heliyon.2025.e41702. eCollection 2025 Jan 30.
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 -integral operator, a more generalized integral operator. We also elaborate on a few more outcomes and specific instances of the primary findings.
利用广义的斋藤分数积分算子,本研究的作者证明了几个新的格鲁斯型分数积分不等式。通过固定函数的值,展示了从先前已确立的结果中推导出来的具体情形。这项工作的最终目的是研究带有斋藤积分算子(一种更广义的积分算子)的格鲁斯型积分不等式。我们还详细阐述了一些更多的结果以及主要发现的具体实例。