Find in Library

In this article, closed Newton–Cotes-type symmetrical inequalities involving four-point functions whose second derivatives are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>s</mi><mo>,</mo><mi>m</mi><mo>)</mo></mrow></semantics></math></inline-formula>-preinvex in the second sense are established. Some applications to quadrature formulas as well as inequalities involving special means are provided.