DOAJ Open Access 2023

Generalized Hankel shifts and exact Jackson–Stechkin inequalities in L2

T.E. Tileubayev

Abstrak

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 E_σ(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 ω_k(B^r f, t), where B is a second–order differential operator.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (1)

T.E. Tileubayev

Format Sitasi

APA MLA BibTeX

Tileubayev, T. (2023). Generalized Hankel shifts and exact Jackson–Stechkin inequalities in L2. https://doi.org/10.31489/2023M2/142-159

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.31489/2023M2/142-159
Akses: Open Access ✓