Cover Image

Estimates for the best approximation and integral modulus of continuity of a function in terms of its Fourier coefficients

In the integral metric, lower bounds are obtained for the best approximation and the modulus of continuity of a function in terms of its Fourier coefficients.

Saved in:

Bibliographic Details
Date:	1998
Main Authors:	Zaderei, P. V., Smal, ' B. M., Задерей, П. В., Смаль, Б. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4919
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

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

The best approximations of the classes of functions preset by means of the continuity modulus
by: Babenko , V. F., et al.
Published: (1992)

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

Estimations of the integral of modulus for mixed derivatives of the sum of double trigonometric series
by: Hembars'ka, S. B., et al.
Published: (2016)

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

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

Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients
by: Telyakovskii, S. A., et al.
Published: (1994)

An estimate for the modulus of continuity of a quaternion singular Cauchy integral
by: Gerus, O. F., et al.
Published: (2010)

Estimates for the best approximations and approximation by Fourier sums of classes of convolutions of periodic functions of not high smoothness in integral metrics
by: T. A. Stepaniuk
Published: (2014)

Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions
by: A. S. Serdiuk, et al.
Published: (2013)

Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$
by: Rukasov, V. I., et al.
Published: (2003)

Estimate of the modulus of continuity of boundary values of quaternion Cauchy-type integral
by: O. F. Herus
Published: (2015)

Estimations of the integral of modulus for mixed derivatives of the sum of double trigonometric series
by: S. V. Hembarska, et al.
Published: (2016)

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

Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
by: Gerus, O. F., et al.
Published: (1996)

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

Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: U. Z. Hrabova, et al.
Published: (2013)

Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: Hrabova, U. Z., et al.
Published: (2013)

Approximation by fourier sums and best approximations on classes of analytic functions
by: Serdyuk, A. S., et al.
Published: (2000)

Approximative properties of the generalized Poisson integrals on the classes of functions, determined by a modulus of continuity
by: Ju. I. Kharkevich
Published: (2019)

Estimates of the best m-term trigonometric approximations of classes of analytic functions
by: A. S. Serdiuk, et al.
Published: (2015)

Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
by: A. S. Serdiuk, et al.
Published: (2014)

Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric
by: Serdyuk, A. S., et al.
Published: (2014)

Best $n$-Term Approximations with Restrictions
by: Stepanets, O. I., et al.
Published: (2005)

Estimates for the modulus of a Cauchy-type integral and its derivatives
by: Gerus, O. F., et al.
Published: (1999)

On the modulus of continuity of solid derivatives of a Cauchy-type integral
by: Gerus, O. F., et al.
Published: (1998)

Approximation of $\bar {\omega}$ -integrals of continuous functions defined on the real axis by Fourier operators
by: Sokolenko, I. V., et al.
Published: (2004)

Order equalities for some functionals and their application to the estimation of the best $n$-term approximations and widths
by: Shydlich, A. L., et al.
Published: (2009)

Estimates for the best asymmetric approximations of asymmetric classes of functions
by: Motornyi, V. P., et al.
Published: (2011)

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
by: A. S. Serdiuk, et al.
Published: (2014)

Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
by: Serdyuk, A. S., et al.
Published: (2014)

On the best approximation of non-integer constants by polynomials with integer coefficients
by: R. M. Trigub
Published: (2023)

Order estimates of functionals in terms of which the best n-term approximations of classes Fш(q,r) are expressed
by: A. L. Shydlich
Published: (2014)

Best n-Term Approximations in Spaces with Nonsymmetric Metric
by: Rukasov, V. I., et al.
Published: (2003)

Estimates for the best bilinear approximations of the classes Brp,ɵ and singular numbers of integral operators
by: A. S. Romanjuk, et al.
Published: (2016)

Approximation of classes of ψ-differentiated functions by the Fourier sums
by: V. I. Bodra, et al.
Published: (2015)

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

Approximate properties of methods of summability of Fourier integrals
by: O. V. Kotova, et al.
Published: (2015)

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

Estimation of the Best Approximations for the Generalized Derivative in Banach Spaces
by: Радзієвська, Олена, et al.
Published: (2021)