Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

Abstract

In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals. Moreover, we show that the results proved in the main section reduce to several Simpson-, trapezoid- and midpoint-type inequalities for various values of parameters.

Keywords

• simpson’s 1/3 formula
• integral inequalities
• fractional calculus
• co-ordinated convex functions
• 26d07
• 26d10
• 26d15
• 26b15
• 26b25