On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals. (27th May 2021)

• Record Type: Journal Article
• Authors: Budak, Hüseyin; Hezenci, Fatih; Kara, Hasan
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 17(2021)
• Page Start: 12522
• Page End: 12536
• Publication Date: 2021-05-27
• Subjects: convex function -- generalized fractional integrals -- Hermite–Hadamard inequalities -- Simpson type inequalities; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7558
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The present paper first establishes that an identity involving generalized fractional integrals is proved for differentiable functions by using two parameters. By utilizing this identity, we obtain several parameterized inequalities for the functions whose derivatives in absolute value are convex. Finally, we show that our main inequalities reduce to Ostrowski type inequalities, Simpson type inequalities and trapezoid type inequalities which are proved in earlier published papers.