Simpson’s quadrature formula for third differentiable and s-convex functions

Abstract

Abstract This study establishes Newton-type inequalities for third differentiable and s-convex functions that use the Riemann integral. New Newton-type inequalities are also introduced using a summation parameter p ≥ 1 $p\geq 1$ for various convexity cases.

Keywords

• s-convex function
• Newton inequality
• Hölder inequality
• Riemann integral