Cover Image

On exact order estimates of N-widths of classes of functions analytic in a simply connected domain

In the spaces E q(Ω), 1 < q < ∞, introduced by Smirnov, we obtain exact order estimates of projective and spectral n-widths of the classes W r E p(Ω) and W r E p(Ω)Ф in the case where p and q are not equal. We also indicate extremal subspaces and operators for the approximative values...

Full description

Saved in:

Bibliographic Details
Date:	1996
Main Authors:	Vakarchuk, S. B., Вакарчук, С. Б.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1996
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5318
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

Exact values of mean $n$-widths for the classes of functions analytic in the upper half plane in the Hardy space
by: Vakarchuk, S. B., et al.
Published: (1994)

Exact values of widths for certain functional classes
by: Vakarchuk, S. B., et al.
Published: (1996)

Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$
by: Vakarchuk, S. B., et al.
Published: (2004)

On the Best Polynomial Approximations of $2π$-Periodic Functions and Exact Values of $n$-Widths of Functional Classes in the Space $L_2$
by: Vakarchuk, S. B., et al.
Published: (2002)

Jackson-type inequalities with generalized modulus of continuity and exact values of the $n$-widths for the classes of $(ψ,β)$-differentiable functions in $L_2$. III
by: Vakarchuk, B. S., et al.
Published: (2016)

Jackson-type inequalities with generalized modulus of continuity and exact values of the $n$-widths of the classes of $(ψ,β)$-differential functions in $L_2$. I
by: Vakarchuk, S. B., et al.
Published: (2016)

Jackson-type inequalities with generalized modulus of continuity and exact values of the $n$-widths of the classes of $(ψ,β)$-differentiable functions in $L_2$. II
by: Vakarchuk, S. B., et al.
Published: (2016)

Jackson-Type Inequalities for the Special Moduli of Continuity on the Entire Real Axis and the Exact Values of Mean $ν$ - Widths for the Classes of Functions in the Space $L_2 (ℝ)$
by: Vakarchuk, S. B., et al.
Published: (2014)

Exact values of widths for the classes of functions defined by the averaged smoothness characteristics and majorants in the space $L_2$
by: Vakarchuk, S., et al.
Published: (2026)

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

Averaged characteristics of smoothness in $L_2$ and estimations for the widths values of function classes
by: Vakarchuk, S., et al.
Published: (2025)

On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions
by: Vakarchuk, S. B., et al.
Published: (2013)

Approximation in the mean of the classes of functions in the space $L_2[(0,1);x]$ by the Fourier–Bessel sums and estimates of the values of their $n$-widths
by: Vakarchuk, S., et al.
Published: (2024)

Best mean square approximations by entire functions of finite degree on a straight line and exact values of mean widths of functional classes
by: Vakarchuk, S. B., et al.
Published: (2010)

On diameters of some classes of analytical functions. II.
by: Vakarchuk , S. B., et al.
Published: (1992)

Diameters of certain classes of analytical functions. I
by: Vakarchuk , S. B., et al.
Published: (1992)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: Bodenchuk, V. V., et al.
Published: (2015)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II
by: Bodenchuk, V. V., et al.
Published: (2015)

The Dirichlet problem for the Beltrami equations in simply connected domains
by: I. V. Petkov
Published: (2015)

On exact values of quasiwidths of some classes of functions
by: Vakarchuk, S. B., et al.
Published: (1996)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. II
by: V. V. Bodenchuk, et al.
Published: (2015)

Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: V. V. Bodenchuk, et al.
Published: (2015)

Reconstruction of linear functionals on classes of analytic functions of two variables on the basis of generalized information
by: Vakarchuk, S. B., et al.
Published: (1993)

Widths of classes of functions in the weight space $L_{2,\gamma}(\mathbb{R}), \gamma=\exp(-x^2)$
by: Vakarchuk, S. B., et al.
Published: (2022)

On the Dirichlet problem for Beltrami equations with sources in simply connected domains
by: V. Y. Gutlyanskii, et al.
Published: (2024)

Separating transformation and extremal problems on nonoverlapping simply connected domains
by: A. K. Bakhtin
Published: (2017)

On the Dirichlet problem for Beltrami equations with sources in simply connected domains
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2024)

Best Polynomial Approximations in $L_2$ and Widths of Some Classes of Functions
by: Vakarchuk, S. B., et al.
Published: (2004)

Integral representations of generalized axially symmetric potentials in a simply connected domain
by: Gryshchuk, S. V., et al.
Published: (2009)

Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane
by: Plaksa, S. A., et al.
Published: (2001)

The Hardy-Littlewood Theorem and the Operator of Harmonic Conjugate in Some Classes of Simply Connected Domains with Rectifiable Boundary
by: Tkachenko, N.M., et al.
Published: (2009)

$K$-functionals and extreme problems of the theory of approximation for classes of analytic functions in the circle. I
by: Vakarchuk, S. B., et al.
Published: (2022)

On the best polynomial approximation in the space L2 and widths of some classes of functions
by: Vakarchuk, S. B., et al.
Published: (2012)

Properties of integral moduli of smoothness for conformal mappings of simply connected domains
by: O. V. Karupu
Published: (2013)

$K$-functionals and extreme problems of the theory of approximation of the classes of analytic functions in a circle. II
by: Vakarchuk, S. B., et al.
Published: (2022)

Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane
by: Plaksa, S. A., et al.
Published: (2003)

On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions
by: S. B. Vakarchuk, et al.
Published: (2013)

Solutions of boundary value problems for Helmholtz equation in simply connected domains of complex plane
by: M. A. Sukhorolskyi
Published: (2015)

Exact order of relative widths of classes $W^r_1$ in the space $L_1$
by: Parfinovych, N. V., et al.
Published: (2005)

Exact constants in Jackson-type inequalities for the best mean square approximation in L_2(R) and exact values of mean nu-widths of the classes of functions
by: S. B. Vakarchuk
Published: (2016)