On new generalized inequalities with some parameters for coordinated convex functions via generalized fractional integrals. (22nd June 2021)

• Record Type: Journal Article
• Authors: Budak, Hüseyin; Yildirim, Seda Kilinç; Kara, Hasan; Yildirim, Hüseyin
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 17(2021)
• Page Start: 13069
• Page End: 13098
• Publication Date: 2021-06-22
• Subjects: coordinated convex functions -- fractional integrals -- midpoint inequality -- Simpson inequality -- trapezoid inequality; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7610
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this work, firstly, we obtain a new identity with some parameters for generalized fractional integrals. Then by utilizing this obtained equality, we establish some new parameterized inequalities for coordinated convex functions via generalized fractional integrals. In addition, in a separate section, we show that the results given in the main section reduce to several trapezoid, midpoint, and Simpson type inequalities for various values of parameters.