Cover Image

A method of summation of the Fourier-Jacobi series

A summation method is constructed for the Fourier-Jacobi series, which has properties similar to the properties of the de la Vallée-Poussin methods of summation of the Fourier series by the trigonometric system.

Saved in:

Bibliographic Details
Date:	1993
Main Authors:	Runovskii, K. V., Руновский, К. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1993
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5854
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On the matrix summation of Fourier series
by: T. V. Voloshina, et al.
Published: (2020)

On saturation classes of linear methods of the Fourier series summation
by: Gavrilyuk, V. T., et al.
Published: (1988)

On the mean convergence of Fourier–Jacobi series
by: Goncharov, S. V., et al.
Published: (2010)

Approximation of classes of convolutions by linear methods of summation of Fourier series
by: Bushev, D. M., et al.
Published: (1997)

Summation of Fourier-Laplace Series in the Space $L(S^m)$
by: Lasuriya, R. A., et al.
Published: (2005)

Saturation of the linear methods of summation of Fourier series in the spaces S pφ
by: Shydlich, A. L., et al.
Published: (2008)

On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$
by: Shydlich, A. L., et al.
Published: (2004)

Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series
by: Kotova, O. V., et al.
Published: (2012)

Approximative properties of the summation methods of Fourier integrals
by: O. V. Kotova, et al.
Published: (2015)

Об одном методе суммирования рядов Фурье - Якоби
by: Руновский, К.В.
Published: (1993)

Generalized Lebesgue Constants and the Convergence of Fourier–Jacobi Series in the Spaces $L_{1,A,B}$
by: Motornaya, O. V., et al.
Published: (2014)

$(C)$-property of the Cesaro summation methods of binary series
by: Kalatalova, M. A., et al.
Published: (1971)

Generalized Lebesgue Constants and the Convergence of Fourier–Jacobi Series in the Spaces L_(1,A,B)
by: O. V. Motornaja, et al.
Published: (2014)

Power multiplier in the summation of trigonometric series
by: H. Ivasyk
Published: (2016)

Summation of p-Faber series by the Abel–poisson method in the integral metric
by: Savchuk, V. V., et al.
Published: (2010)

Dzyadyk formula for summation of double Faber series
by: Tsvil', M. M., et al.
Published: (1994)

Approximation of functions defined on the real axis by operators generated by λ-methods of summation of their Fourier integrals
by: Zhyhallo, T. V., et al.
Published: (2004)

Summation of independent random values of the Ries method
by: Matsak , I. K., et al.
Published: (1992)

Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
by: Schlosser, M.J., et al.
Published: (2016)

Generalization of trigonometric methods of the Rogozinsky-Bernstain summation
by: Azmi , K. Al-Madi, et al.
Published: (1988)

The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra
by: Hallowell, K., et al.
Published: (2007)

On the Fourier series and transformations
by: R. M. Trigub
Published: (2019)

On the sets of divergence of multiple Fourier–Haar series
by: Bitsadze, K. R., et al.
Published: (2023)

On necessary conditions for the convergence of Fourier series
by: Ivashchuk, O. V., et al.
Published: (2011)

Formation of random vibrations on the basis of compatibility of generalized Fourier series and Kotelnikov series
by: Божко, A. Е., et al.
Published: (2016)

Formation of random vibrations on the basis of compatibility of generalized Fourier series and Kotelnikov series
by: Божко, A. Е., et al.
Published: (2016)

On the Estimation of Strong Means of Fourier Series
by: Pachulia, N. L., et al.
Published: (2015)

Points of strong summability of fourier series
by: Pachulia, N. L., et al.
Published: (1994)

On the points of strong summabiity of the Fourier series
by: Gabisoniya , O. D., et al.
Published: (1992)

On absolute summability of multiple Fourier series
by: Ponomarenko, Yu. A., et al.
Published: (1971)

On the sets of divergence of multiple Fourier–Haar series
by: K. R. Bitsadze
Published: (2022)

A matrix application of power increasing sequences to infinite series and Fourier series
by: S. Yildiz
Published: (2020)

A matrix application of power increasing sequences to infinite series and Fourier series
by: Yıldız, Şebnem, et al.
Published: (2020)

Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices
by: Davydov, N. A., et al.
Published: (1999)

On the Convergence of Fourier Series in the Space $L_1$
by: Zaderei, P. V., et al.
Published: (2002)

The School: “Fourier Series: Theory and Applications”
by: Romanyuk, A. S., et al.
Published: (1993)

On the Estimation of Strong Means of Fourier Series
by: N. L. Pachulia
Published: (2015)

Fourier Series of Gegenbauer-Sobolev Polynomials
by: Ciaurri, Ó., et al.
Published: (2018)

Strong summability and properties of Fourier?Laplace series on a sphere
by: Lasuriya, R. A., et al.
Published: (2012)

Formation of random vibrations on the basis of compatibility of generalized Fourier series and Kotelnikov series
by: A. E. Bozhko, et al.
Published: (2011)