Equivalent statements of a more accurate extended Mulholland's inequality with a best possible constant factor

Abstract

By the use of the weight functions, the idea of introduced parameters and HermiteHadamard’s inequality, a more accurate extended Mulholland’s inequality and its equivalent form are given. A few equivalent statements of the best possible constant factor related to some parameters, some particular cases and the operator expressions are considered. Mathematics subject classification (2010): 26D15.