Some issues concerning approximations of functions by Fourier-Bessel sums

Some issues concerning approximations of functions by Fourier-Bessel sums

Some issues concerning the approximation of one-variable functions from the class by n th-order partial sums of Fourier-Bessel series are studied. Several theorems are proved that estimate the best approximation of a function characterized by the generalized modulus of continuity.

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Veröffentlicht in:Computational mathematics and mathematical physics 2013-07, Vol.53 (7), p.867-873
Hauptverfasser: Abilov, V. A., Abilova, F. V., Kerimov, M. K.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Computation
Computational mathematics
Computational Mathematics and Numerical Analysis
Fourier-Bessel transformations
Mathematical analysis
Mathematical functions
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Partial differential equations
Physics
Studies
Sums
Theorems
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Beschreibung
Zusammenfassung:Some issues concerning the approximation of one-variable functions from the class by n th-order partial sums of Fourier-Bessel series are studied. Several theorems are proved that estimate the best approximation of a function characterized by the generalized modulus of continuity.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542513070026