Generalized Hankel shifts and exact Jackson–Stechkin inequalities in L2

dc.contributor.author	Tileubayev, T.E.
dc.date.accessioned	2024-12-18T05:07:17Z
dc.date.available	2024-12-18T05:07:17Z
dc.date.issued	2023
dc.identifier.issn	2663-5011
dc.identifier.other	DOI 10.31489/2023M2/142-159
dc.identifier.uri	http://rep.enu.kz/handle/enu/20277
dc.description.abstract	In this paper, we have solved several extremal problems of the best mean-square approximation of functions f on the semiaxis with a power-law weight. In the Hilbert space L 2 with a power-law weight t 2α+1 we obtain Jackson–Stechkin type inequalities between the value of the Eσ(f)-best approximation of a function f(t) by partial Hankel integrals of an order not higher than σ over the Bessel functions of the first kind and the k-th order generalized modulus of smoothnes ωk(B r f, t), where B is a second–order differential operator	ru
dc.language.iso	en	ru
dc.publisher	Bulletin of the Karaganda University. Mathematics Series	ru
dc.subject	best approximation	ru
dc.subject	generalized modulus of smoothness of m-th order	ru
dc.subject	Hilbert space	ru
dc.title	Generalized Hankel shifts and exact Jackson–Stechkin inequalities in L2	ru
dc.type	Article	ru