On a New Generalization of Hardy–Hilbert's Inequality and Its Applications

AbstractThis paper deals with a generalization of the Hardy–Hilbert inequality with best constant factor which involves the β function. As an application, we obtain a new equivalent form of the Hardy–Hilbert inequality

Some Inequalities Involving the Constante, and an Application to Carleman's Inequality

AbstractSome inequalities involving the constanteare considered. A strengthened Carleman's inequality is proved

A new Hardy–Mulholland-type inequality with a mixed kernel

By the use of weight coefficients and techniques of real analysis, we establish a new Hardy–Mulholland-type inequality with a mixed kernel and a best possible constant factor in terms of the hypergeometric function. Equivalent forms, an operator expression with the norm and reverses are also considered