On estimates for the Fourier-Bessel integral transform in the space L 2(ℝ+)

DOI10.1134/S0965542509070033zbMath1224.65314OpenAlexW1972772329MaRDI QIDQ2995699

M. K. Kerimov, F. V. Abilova, Vladimir A. Abilov

Publication date: 4 May 2011

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.maik.ru/abstract/commat/9/commat1103_abstract.pdf

zbMATH Keywords

generalized derivativesestimateBessel operatorgeneralized modulus of continuitygeneralized shift operatorFourier-Bessel integral transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (4)

Bessel transform of \((k, \gamma)\)-Bessel Lipschitz functions ⋮ On estimates for the first Hankel-Clifford transform in the space \(L^p_{\mu}\) ⋮ Some new estimates of the Fourier-Bessel transform in the space $$\mathbb{L}_2 \left( {\mathbb{R}_ + } \right)$$ ⋮ Fast expansion method for evaluating definite integrals with a variable upper limit and a composite or implicitly defined integrand

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