Geodesic
Sharp estimates for the convergence rate of Fourier–Bessel series
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 6, pp. 917-927

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Sharp estimates are derived for the convergence rate of Fourier series in terms of Bessel functions of the first kind for some classes of functions characterized by a generalized modulus of continuity. The Kolmogorov $N$-width of these classes of functions are also estimated. 
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     author = {V. A. Abilov and F. V. Abilova and M. K. Kerimov},
     title = {Sharp estimates for the convergence rate of {Fourier{\textendash}Bessel} series},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_6_a1/}
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V. A. Abilov; F. V. Abilova; M. K. Kerimov. Sharp estimates for the convergence rate of Fourier–Bessel series. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 6, pp. 917-927. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_6_a1/