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

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

Two estimates useful in applications are proved for the Fourier-Bessel integral transform in L2(+) as applied to some classes of functions characterized by a generalized modulus of continuity. [PUBLICATION ABSTRACT]

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Veröffentlicht in:Computational mathematics and mathematical physics 2009-07, Vol.49 (7), p.1103-1110
Hauptverfasser: Abilov, V. A., Abilova, F. V., Kerimov, M. K.
Format: Artikel
Sprache:eng
Schlagworte:
Computational mathematics
Estimates
Fourier transforms
Integral transforms
Mathematical functions
Ordinary differential equations
Physics
Studies
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Zusammenfassung:Two estimates useful in applications are proved for the Fourier-Bessel integral transform in L2(+) as applied to some classes of functions characterized by a generalized modulus of continuity. [PUBLICATION ABSTRACT]
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542509070033