Buchumschlag

Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients

This paper is a survey of results concerning the estimation of the moduli of continuity of functions in the metric of L in terms of their Fourier coefficients. Upper bounds, lower bounds, and asymptotic estimates of the moduli of continuity are presented.

Gespeichert in:

Bibliographische Detailangaben
Datum:	1994
Hauptverfasser:	Telyakovskii, S. A., Теляковский, С. А.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1994
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/5723
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

On the properties of blocks of terms of the series $\sum \cfrac1k \sin kx$
von: Telyakovskii, S. A., et al.
Veröffentlicht: (2012)

Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients
von: Kononovych, T. O., et al.
Veröffentlicht: (2004)

Estimates for the norms of fractional derivatives in terms of integral moduli of continuity and their applications
von: Babenko, V. F., et al.
Veröffentlicht: (2011)

Some properties of the moduli of continuity of periodic functions in metric spaces
von: Pichugov, S. A., et al.
Veröffentlicht: (2016)

Estimates for the best approximation and integral modulus of continuity of a function in terms of its Fourier coefficients
von: Zaderei, P. V., et al.
Veröffentlicht: (1998)

Some properties of the moduli of continuity of periodic functions in metric spaces
von: S. A. Pichugov
Veröffentlicht: (2016)

On the Third Moduli of Continuity
von: Bezkryla, S. I., et al.
Veröffentlicht: (2014)

On one inequality for the moduli of continuity of fractional order generated by semigroups of operators
von: Bezkryla, S. I., et al.
Veröffentlicht: (2019)

Оценки модуля непрерывности в метрике L функций одной переменной через коэфициенты Фурье
von: Теляковский, С.А.
Veröffentlicht: (1994)

On the Third Moduli of Continuity
von: S. I. Bezkryla, et al.
Veröffentlicht: (2014)

The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
von: Литвин, О. М., et al.
Veröffentlicht: (2016)

The estimations of error of approaching Fourier's coefficients of two variables by the cubature formula on the class of differentiable functions
von: Литвин, О. М., et al.
Veröffentlicht: (2016)

Estimate for the Best Approximation of Summable Functions of Several Variables with a Certain Symmetry of Fourier Coefficients
von: Kononovych, T. O., et al.
Veröffentlicht: (2003)

Lower bound for the best approximations of periodic summable functions of two variables and their conjugates in terms of Fourier coefficients
von: Kononovych, T. O., et al.
Veröffentlicht: (2008)

On one inequality for the moduli of continuity of fractional order generated by semigroups of operators
von: S. I. Bezkryla, et al.
Veröffentlicht: (2019)

On relative widths of classes of differentiable functions. II
von: Subbotin, Yu. N., et al.
Veröffentlicht: (2010)

On total moduli of continuity for $2\pi$-periodic functions of two variables in the space $L_{2,2}$
von: Vakarchuk, M. B., et al.
Veröffentlicht: (2017)

On Piecewise-Constant Approximation of Continuous Functions of n Variables in Integral Metrics
von: Bel'skii, S. A., et al.
Veröffentlicht: (2002)

On total moduli of continuity for 2periodic functions of two variables in the space L_(2,2)
von: S. B. Vakarchuk, et al.
Veröffentlicht: (2017)

Estimates of orthoprojection widths of classes BΩ∞,θ of periodic functions of several variables with given majorant of the mixed moduli of continuity
von: A. F. Konohrai, et al.
Veröffentlicht: (2015)

On some conditions for the second moduli of continuity
von: Chaikovs’kyi, A. V., et al.
Veröffentlicht: (2022)

Estimates for the approximate characteristics of the classes $B_{p, \theta}^{\Omega}$ of periodic functions of two variables with given majorant of mixed moduli of continuity
von: Konohrai, A. F., et al.
Veröffentlicht: (2011)

The estimations of error of approaching Fourier&#039;s coefficients of two variables by the cubature formula on the class of differentiable functions
von: O. M. Lytvyn, et al.
Veröffentlicht: (2011)

On moduli of smoothness and Fourier multipliers in $L_p, 0 < p < 1$
von: Kolomoitsev, Yu. S., et al.
Veröffentlicht: (2007)

Moduli and extremal metrics on nonorientable and twisted Riemannian manifolds
von: Tamrazov, P. M., et al.
Veröffentlicht: (1998)

Asymptotic estimates of approximation of continuous periodic functions by the Fourier sums
von: Gavrilyuk, V. T., et al.
Veröffentlicht: (1990)

On the absolute continuity of mappings distorting the moduli of cylinders
von: Salimov, R. R., et al.
Veröffentlicht: (2017)

On some conditions for the second moduli of continuity
von: A. V. Chaikovskyi
Veröffentlicht: (2022)

Moduli of continuity and derivatives of conformal mappings
von: E. P. Dolzhenko
Veröffentlicht: (2013)

Estimates of orthoprojection widths of classes BΩ(p,θ) of periodic functions of several variables with given majorant of mixed moduli of continuity
von: A. F. Konohrai, et al.
Veröffentlicht: (2014)

Estimates of approximative characteristics of the classes BЩp,и of periodic functions of many variables with given majorant of mixed continuity moduli in the space L∞
von: O. V. Fedunyk-Yaremchuk, et al.
Veröffentlicht: (2017)

Moduli of continuity defined by zero continuation of functions and K-functionals with restrictions
von: Radzievskii, G. V., et al.
Veröffentlicht: (1996)

On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space $L_{2x} (0,1)$
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2019)

On the absolute continuity of mappings distorting the moduli of cylinders
von: R. R. Salimov, et al.
Veröffentlicht: (2017)

On the curved wedge condition and the continuity moduli of conformal mappings
von: Bely, V. I., et al.
Veröffentlicht: (1993)

On continuity of operators of metrical projection
von: Kuznetsov , S. V., et al.
Veröffentlicht: (1992)

On extremal problems on classes of functions defined by integral moduli of continuity
von: Ligun, A. A., et al.
Veröffentlicht: (1997)

Approximation of classes of analytic functions by Fourier sums in the metric of the space $L_p$
von: Serdyuk, A. S., et al.
Veröffentlicht: (2005)

Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric
von: Serdyuk, A. S., et al.
Veröffentlicht: (2005)

Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces $L_s$
von: Serdyuk, A. S., et al.
Veröffentlicht: (2017)