Estimate of the Lebesgue Function of Fourier Sums in Terms of Modified Meixner Polynomials

R. M. Gadzhimirzaev

doi:10.1134/s0001434619090220

Estimate of the Lebesgue Function of Fourier Sums in Terms of Modified Meixner Polynomials

Mathematical Notes ◽

10.1134/s0001434619090220 ◽

2019 ◽

Vol 106 (3-4) ◽

pp. 526-536

Author(s):

R. M. Gadzhimirzaev

Keyword(s):

Lebesgue Function ◽

Meixner Polynomials ◽

Fourier Sums

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Estimates of the Lebesgue function of Fourier sums in trigonometric polynomials orthogonal with a weight not belonging to the spaces L r (r > 1)

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543812050045 ◽

2012 ◽

Vol 277 (S1) ◽

pp. 21-32

Author(s):

V. M. Badkov

Keyword(s):

Trigonometric Polynomials ◽

Lebesgue Function ◽

Fourier Sums

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Double-sided to Lebesgue function of Fourier sums by polynomials orthogonal on non-uniform grids

Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy ◽

10.21638/11701/spbu01.2018.306 ◽

2018 ◽

Vol 5(63) (3) ◽

Author(s):

Alim A. Nurmagomedov ◽

Nabiyullah K. Rasulov

Keyword(s):

Lebesgue Function ◽

Uniform Grids ◽

Fourier Sums

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Approximation to continuous functions by Walsh-Fourier sums

Analysis Mathematica ◽

10.1007/bf02053633 ◽

1980 ◽

Vol 6 (4) ◽

pp. 269-280 ◽

Cited By ~ 5

Author(s):

N. V. Guličev

Keyword(s):

Continuous Functions ◽

Fourier Sums

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Simultaneous approximation of functions and their (?, ?)-derivatives by Fourier sums

Ukrainian Mathematical Journal ◽

10.1007/bf01060386 ◽

1989 ◽

Vol 41 (2) ◽

pp. 189-199 ◽

Cited By ~ 2

Author(s):

A. I. Stepanets

Keyword(s):

Simultaneous Approximation ◽

Approximation Of Functions ◽

Fourier Sums

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On weighted Lebesgue function type sums

Journal of Approximation Theory ◽

10.1016/j.jat.2006.11.001 ◽

2007 ◽

Vol 146 (2) ◽

pp. 243-251

Author(s):

Ying Guang Shi

Keyword(s):

Lebesgue Function ◽

Function Type

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On barycentric interpolation. I. (On the T-Lebesgue function and T-Lebesgue constant)

Acta Mathematica Hungarica ◽

10.1007/s10474-015-0534-5 ◽

2015 ◽

Vol 147 (2) ◽

pp. 396-407 ◽

Cited By ~ 1

Author(s):

P. Vértesi

Keyword(s):

Lebesgue Constant ◽

Lebesgue Function ◽

Barycentric Interpolation

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Difference Equations for Multiple Charlier and Meixner Polynomials

Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001 ◽

10.1201/9780203575437.ch53 ◽

2004 ◽

pp. 549-557 ◽

Cited By ~ 1

Author(s):

Walter Van Assche

Keyword(s):

Difference Equations ◽

Meixner Polynomials

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Fourier Sums and Lagrange Interpolation on (0,+‚àû) and (_‚àû,+‚àû)

Frontiers in Interpolation and Approximation - Pure and Applied Mathematics ◽

10.1201/9781420011388.ch15 ◽

2006 ◽

pp. 307-344 ◽

Cited By ~ 3

Author(s):

G Mastroianni ◽

P V√©rtesi

Keyword(s):

Lagrange Interpolation ◽

Fourier Sums

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An algorithm for fast discrete transformation for Fourier sums over Sobolev orthogonal polynomials generated by Chebyshev polynomials of the first kind

Daghestan Electronic Mathematical Reports ◽

10.31029/demr.9.6 ◽

2018 ◽

pp. 52-61

Author(s):

◽

Murad Sultanakhmedov ◽

Tadgidin Shakh-Emirov

Keyword(s):

Orthogonal Polynomials ◽

Chebyshev Polynomials ◽

Discrete Transformation ◽

Sobolev Orthogonal Polynomials ◽

Fourier Sums

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LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS

Infinite Dimensional Analysis Quantum Probability and Related Topics ◽

10.1142/s0219025709003720 ◽

2009 ◽

Vol 12 (03) ◽

pp. 387-399 ◽

Cited By ~ 2

Author(s):

EUGENE LYTVYNOV ◽

IRINA RODIONOVA

Keyword(s):

Orthogonal Polynomials ◽

Real Line ◽

Meixner Polynomials ◽

The Real ◽

Raising Operators ◽

Meixner Class

We compare some properties of the lowering and raising operators for the classical and free classes of Meixner polynomials on the real line.

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