Some new extensions on H–G–A inequality

Some new extensions of Hardy`s inequality

In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequalityin two and three dimensions

some new extensions of hardy`s inequality

in this study, by a non-negative homogeneous kernel k we prove some extensions of hardy's inequalityin two and three dimensions

Some extensions on Fan Ky ’ s inequality

In this paper we study the inequalities of the determinants of the positive definite matrices and the invertible matrices by applying the integral method and matrix theory such that extensions of Fan Ky’s inequality are established. And then an improvement of Fan Ky’s inequality is given by using the positive definiteness of Gram matrix. Mathematics Subject Classification (2010): 15A15, 26D15.

On New Extensions of Hilbert's Integral Inequality

Some Extensions of Hilbert’s Integral Inequality

In this paper we introduce a new extension of Hilbert's integral inequality with a best constant factor involving the hypergeometric function. The equivalent form and some examples will be given.