Refinements of bullen-type inequalities for s–convex functions via Riemann-Liouville fractional integrals involving Gauss hypergeometric function

Abstract

In this paper, the author establishes a new identity for differentiable functions and obtain some new inequalities for differentiable functions based on s–convexity via Riemann-Liouville fractional integrals involving Gauss hypergeometric function.

Subject Classification:

• 26D07
• 26D10
• 26D15

Keywords:

• Bullen’s inequality
• s – convex function
• Power-mean inequality
• Riemann-Liouville fractional integrals