Hermite-Hadamard type inequalities by using Newton-Cotes quadrature formulas

Angshuman R. Goswami, Ferenc Hartung

A convex function $f:[a,b]\to \mathbb{R}$ satisfies the so-called Hermite-Hadamard inequality $$ f\left(\frac{a+b}{2}\right)\leq \frac{1}{b-a}\int_a^{b}f(t)dt\leq \frac{f(a)+f(b)}{2…