Hardy type inequalities with weights dependent on the bessel functions
- Authors: Nasibullin R.1
-
Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 37, No 3 (2016)
- Pages: 274-283
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197696
- DOI: https://doi.org/10.1134/S1995080216030185
- ID: 197696
Cite item
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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