Hardy type inequalities with weights dependent on the bessel functions


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Abstract

We obtain a new sharp Hardy type inequality with an additional term. Using the Bessel functions we prove one dimensional inequality and their multidimensional analogs in domains with a finite inradius. The weight functions depend on the Bessel functions and Lamb’ s constants.

About the authors

R. Nasibullin

Kazan (Volga Region) Federal University

Author for correspondence.
Email: NasibullinRamil@gmail.com
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008

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