Hardy-hilbert Type Inequalities with Fractional Kernel in R
نویسندگان
چکیده
The main objective of this paper is some new special Hilbert-type and HardyHilbert-type inequalities in (R) with k ≥ 2 non-conjugate parameters which are obtained by using the well known Selberg’s integral formula for fractional integrals in an appropriate form. In such a way we obtain extensions over the whole set of real numbers, of some earlier results, previously known from the literature, where the integrals were taken only over the set of positive real numbers. Also, we obtain the best possible constants in the conjugate case.
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