Cover Image

On the mean convergence of Fourier–Jacobi series

The convergence of Fourier–Jacobi series in the spaces $L_{p,A,B}$ is studied in the case where the Lebesgue constants are unbounded.

Saved in:

Bibliographic Details
Date:	2010
Main Authors:	Goncharov, S. V., Motornyi, V. P., Nitiema, P. K., Гончаров, С. В., Моторный, В. П., Нитиема, П. К.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2912
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

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)

One-sided approximation of a step by algebraic polynomials in the mean
by: Motornaya, O. V., et al.
Published: (2010)

О сходимости в среднем рядов Фурье–Якоби
by: Моторный, В.П., et al.
Published: (2010)

О сходимости в среднем рядов Фурье — Якоби
by: Гончаров, С.В., et al.
Published: (2010)

A method of summation of the Fourier-Jacobi series
by: Runovskii, K. V., et al.
Published: (1993)

On the best $L_1$-approximation of truncated powers by algebraic polynomials
by: Nitiema, P. K., et al.
Published: (1998)

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

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)

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

Об одностороннем приближении ступеньки алгебраическими многочленами в среднем
by: Моторная, О.В., et al.
Published: (2010)

Convergence of the linear's average multiple Fourier series of continuous functions
by: Zaderei , P. V., et al.
Published: (1988)

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

On the exact constants in Hardy – Littlewood inequalities
by: Motornyi, V. P., et al.
Published: (2017)

On the problem of approximation of functions by algebraic polynomials with regard for the location of a point on a segment
by: Motornyi, V. P., et al.
Published: (2008)

On One-Sided Approximation of Functions with Regard for the Location of a Point on an Interval
by: Motornyi, V. P., et al.
Published: (2002)

Approximation of fractional-order integrals by algebraic polynomials. II
by: Motornyi, V. P., et al.
Published: (1999)

On quadrature formulas with equal coefficients
by: Motornyi, V. P., et al.
Published: (1995)

Approximation of fractional-order integrals by algebraic polynomials. I
by: Motornyi, V. P., et al.
Published: (1999)

On Exact Estimates for the Pointwise Approximation of the Classes $W^rH^ω$ by Algebraic Polynomials
by: Motornyi, V. P., et al.
Published: (2001)

Approximation of Certain Classes of Singular Integrals by Algebraic Polynomials
by: Motornyi, V. P., et al.
Published: (2001)

Almost everywhere convergence of Cesàro means of two variable Walsh – Fourier series with varying parameters
by: A. A.Abu Joudeh, et al.
Published: (2021)

Almost everywhere convergence of Cesàro means of two variable Walsh – Fourier series with varying parameteres
by: Abu Joudeh , A. A., et al.
Published: (2021)

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

Strong Convergence of Two-Dimensional Walsh–Fourier Series
by: Tephnadze, G.
Published: (2013)

On the uniform convergence of Fourier series to (ш, в)-derivatives
by: E. I. Radzievskaja
Published: (2018)

Strong Convergence of Two-Dimensional Walsh–Fourier Series
by: G. Tephnadze
Published: (2013)

Strong Convergence of Two-Dimensional Walsh–Fourier Series
by: Tephnadze, G., et al.
Published: (2013)

On the mean convergence of the Taylor and Laurent series
by: R. V. Tovkach
Published: (2013)

Rate of convergence of Fourier series on the classes of $\overline{\psi}$-integrals
by: Stepanets, O. I., et al.
Published: (1997)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: Goginava, U., et al.
Published: (2015)

Convergence of Fourier series on the systems of rational functions on the real axis
by: S. O. Chaichenko
Published: (2015)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: U. Goginava, et al.
Published: (2015)

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
by: Goginava, U., et al.
Published: (2015)

On the maximal operator of $(C, α)$-means of Walsh–Kaczmarz–Fourier series
by: Goginava, U., et al.
Published: (2010)

Marcinkiewicz-type strong means of Fourier—Laplace series
by: Lasuriya, R. A., et al.
Published: (2004)

On the absolute convergence of power series
by: Hembars'ka, S. B., et al.
Published: (1999)

On the almost-everywhere convergence of the Riesz means of double orthogonal series
by: Andrienko, V. A., et al.
Published: (1999)

On the Convergence of Fourier Series with Orthogonal Polynomials inside and on the Closure of a Region
by: Abdullaev, F.G., et al.
Published: (2002)

On the Convergence of Fourier Series with Orthogonal Polynomials inside and on the Closure of a Region
by: Abdullayev, F. G., et al.
Published: (2002)

Approximation by Norlund means of quadratical partial sums of double Walsh - Kaczmarz - Fourier series
by: Nagy, K., et al.
Published: (2016)