Browsing by Subject "Bessel functions"

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Hardy type inequalities with weights dependent on the bessel functions

Nasibullin R. (2016)

© 2016, Pleiades Publishing, Ltd.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 ...
On the best constants for the Brezis-Marcus inequalities in balls

Avkhadiev F.; Wirths K. (2012)

We study the best possible constants c(n) in the Brezis-Marcus inequalities for u∈H01(Bn) in balls Bn={x∈Rn:|x-x0|<ρ}. The quantity c(1) is known by our paper [F.G. Avkhadiev, K.-J. Wirths, Unified Poincaré and Hardy ...
The Faster Methods for Computing Bessel Functions of the First Kind of an Integer Order with Application to Graphic Processors

Tumakov D. (2019)

© 2019, Pleiades Publishing, Ltd. Algorithms for fast computations of the Bessel functions of an integer order with required accuracy are considered. The domain of functions is split into two intervals: 0 ≤ x ≤ 8 and x > ...
Unified poincaré and hardy inequalities with sharp constants for convex domains

Avkhadiev F.; Wirths K. (2007)

Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequality ∫Ω |∇ f2 dx ≥ (1/4 - v2) ∫Ω |f|2/δ2 dx + λv 2/δ0 2 ∫Ω |f|2 dx, where δ = dist(x, ∂Ω), δ0 = sup δ. The factor λv 2, ...

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