Geodesic
Some issues concerning approximations of functions by Fourier–Bessel sums
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7, pp. 1051-1057 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some issues concerning the approximation of one-variable functions from the class $\mathbb{L}_2$ 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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V. A. Abilov; F. V. Abilova; M. K. Kerimov. Some issues concerning approximations of functions by Fourier–Bessel sums. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7, pp. 1051-1057. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_7_a0/

[1] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1981

[2] Levitan B. M., “Razlozhenie po funktsiyam Besselya v ryady i integraly Fure”, Uspekhi matem. nauk, 6:2 (1951), 102–143 | Zbl

[3] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977

[4] Levitan B. M., Sargsyan I. S., Vvedenie v spektralnuyu teoriyu. Samosopryazhennye obyknovennye differentsialnye operatory, Nauka, M., 1970 | Zbl

[5] Abilov V. A., Abilova F. V., “Priblizhenie funktsii summami Fure–Besselya”, Izv. vuzov. matem., 2001, no. 8, 3–9 | Zbl

[6] Timan A. F., Teoriya priblizheniya funktsii deistvitelnogo peremennogo, Fizmatgiz, M., 1960