On New Extensions of Hilbert's Integral Inequality

On New Extensions of Hilbert's Integral 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 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.

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

Extensions of Chebyshev inequality for fuzzy integral and applications⋆

The theory of fuzzy measures and fuzzy integrals was introduced by Sugeno [24] as a tool for modeling nondeterministic problems. Sugeno’s integral is analogous to Lebesgue integral which has been studied by many authors, including Pap [18], Ralescu and Adams [19] and, Wang and Klir [25], among others. RománFlores et al [9, 20–23], started the studies of inequalities for Sugeno integral, and the...