A New Reverse Extended Hardy–Hilbert’s Inequality with Two Partial Sums and Parameters

Abstract

By using the methods of real analysis and the mid-value theorem, we introduce some lemmas and obtain a new reverse extended Hardy–Hilbert’s inequality with two partial sums and multi-parameters. We also give a few equivalent conditions of the best possible constant factor related to several parameters in the new inequality. Some particular inequalities are deduced.

Keywords

• <title>Keywords</title>
• constant factor
• mid-value theorem
• Bernoulli function
• parameter
• reverse