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Your search keyword '"Fourier series"' showing total 2 results
2 results on '"Fourier series"'

1. Upper Bounds for the Approximation of Certain Classes of Functions of a Complex Variable by Fourier Series in the Space <italic>L</italic>2 and <italic>n</italic>-Widths.

Author

Shabozov, M. Sh. and Saidusaynov, M. S.

Subjects
*APPROXIMATION theory, *FUNCTIONAL analysis, *NUMERICAL analysis, *MATHEMATICAL analysis, *FOURIER series, *POLYNOMIALS
Abstract

We consider the problem of the mean-square approximation of complex functions regular in a domain D ⊂ C by Fourier serieswith respect to an orthogonal (inD) systemof functions {ϕk(z)}, k = 0, 1, 2,.... For the case inwhich D = {z ∈ C: |z| < 1}, we obtain sharp estimates for the rate of convergence of the Fourier series in the orthogonal system {zk}, k = 0, 1, 2,..., for classes of functions defined by a special mth-order modulus of continuity. Exact values of the series of n-widths for these classes of functions are calculated. [ABSTRACT FROM AUTHOR]

Published
2018
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2. Approximation of functions on the real axis by Féjer-type operators in the generalized Hölder metric.

Author

Lasuriya, R.

Subjects
*BANACH spaces, *COMPLEX variables, *GENERALIZED spaces, *ELLIPTIC functions, *APPROXIMATION theory, *FUNCTIONAL analysis
Abstract

In this paper, we consider the orders of approximation of functions on the whole real axis by operators of Fejér type in the Banach space with the so-called generalized Hölder metric. [ABSTRACT FROM AUTHOR]

Published
2007
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