A new extended Mulholland's inequality involving one partial sum

Abstract

By using the weight coefficients and the techniques of real analysis, a new extended Mulholland’s inequality with multi-parameters involving one partial sum is given. The equivalent statements of the best value related to several parameters are provided. The equivalent forms, some inequalities in particular parameters, and the operator expressions are obtained.

Keywords

• beta function
• differentiation mid-value theorem
• mulholland’s inequality
• parameter
• partial sum
• 26d15
• 26d10
• 47a05