Banach and Hilbert Spaces – Fourier Series and Orthogonal Polynomials

From Algebraic Structures to Tensors ◽

10.1002/9781119681137.ch3 ◽

2019 ◽

pp. 57-121

Keyword(s):

Fourier Series ◽

Orthogonal Polynomials ◽

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Algorithms for Construction of Recurrence Relations for the Coefficients of the Fourier Series Expansions with Respect to Classical Discrete Orthogonal Polynomials

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-021-00553-3 ◽

2021 ◽

Author(s):

Hany M. Ahmed

Keyword(s):

Fourier Series ◽

Orthogonal Polynomials ◽

Recurrence Relations ◽

Series Expansions ◽

Discrete Orthogonal Polynomials ◽

Discrete Orthogonal

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Boris Osilenker, Fourier Series in Orthogonal Polynomials

Journal of Approximation Theory ◽

10.1006/jath.2000.3523 ◽

2000 ◽

Vol 106 (2) ◽

pp. 296-297

Author(s):

Walter Van Assche

Keyword(s):

Fourier Series ◽

Orthogonal Polynomials

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Sharp estimates for the convergence rate of “hyperbolic” partial sums of double fourier series in orthogonal polynomials

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512110024 ◽

2012 ◽

Vol 52 (11) ◽

pp. 1497-1503 ◽

Author(s):

V. A. Abilov ◽

M. K. Kerimov

Keyword(s):

Fourier Series ◽

Convergence Rate ◽

Orthogonal Polynomials ◽

Double Fourier Series ◽

Partial Sums ◽

Sharp Estimates

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APPROXIMATION PROPERTIES OF FOURIER SERIES IN ORTHOGONAL POLYNOMIALS

Russian Mathematical Surveys ◽

10.1070/rm1978v033n04abeh002493 ◽

1978 ◽

Vol 33 (4) ◽

pp. 53-117 ◽

Author(s):

V M Badkov

Keyword(s):

Fourier Series ◽

Orthogonal Polynomials ◽

Approximation Properties

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WEIGHT ESTIMATES FOR THE LINEAR MEAN MAJORANTS OF FOURIER SERIES OF ORTHOGONAL POLYNOMIALS

Russian Mathematical Surveys ◽

10.1070/rm1980v035n05abeh001962 ◽

1980 ◽

Vol 35 (5) ◽

pp. 269-270

Author(s):

B P Osilenker

Keyword(s):

Fourier Series ◽

Orthogonal Polynomials

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Fourier Series and Orthogonal Polynomials

The Mathematical Gazette ◽

10.2307/3605682 ◽

1943 ◽

Vol 27 (273) ◽

pp. 39

Author(s):

E. T. Copson ◽

Dunham Jackson

Keyword(s):

Fourier Series ◽

Orthogonal Polynomials

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Hilbert Spaces and Fourier Series

Graduate Texts in Mathematics - Advanced Mathematical Analysis ◽

10.1007/978-1-4684-9886-8_4 ◽

1973 ◽

pp. 103-130

Author(s):

Richard Beals

Keyword(s):

Fourier Series ◽

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Fourier Series and Orthogonal Polynomials

National Mathematics Magazine ◽

10.2307/3028153 ◽

1942 ◽

Vol 16 (5) ◽

pp. 267

Author(s):

J. Shohat ◽

Dunham Jackson

Keyword(s):

Fourier Series ◽

Orthogonal Polynomials

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Sharp estimates for the convergence rate of double Fourier series in terms of orthogonal polynomials in the space L 2((a, b) × (c, d); p(x)q(y))

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542509080028 ◽

2009 ◽

Vol 49 (8) ◽

pp. 1298-1302 ◽

Author(s):

V. A. Abilov ◽

M. K. Kerimov

Keyword(s):

Fourier Series ◽

Convergence Rate ◽

Orthogonal Polynomials ◽

Double Fourier Series ◽

Sharp Estimates

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Orthogonal polynomials and expansion of analytic functions into Fourier series

10.1063/1.3271616 ◽

2009 ◽

Author(s):

Nikolay Ikonomov ◽

George Venkov ◽

Ralitza Kovacheva ◽

Vesela Pasheva

Keyword(s):

Fourier Series ◽

Orthogonal Polynomials ◽

Analytic Functions

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