Cover Image

On diameters of some classes of analytical functions. II.

In the spaces Eq(Ω), q≥1, we consider the classes WrEp(Ω), p≥1, consisting of analytic functions f(z) ∈ EP(Ω) the integral moduli of continuity of whose r-th derivatives are majorized by a given nonnegative nondecreasing function Φ.

Saved in:

Bibliographic Details
Date:	1992
Main Authors:	Vakarchuk , S. B., Вакарчук , С. Б.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8048
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

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

$K$-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)

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)

$K$-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 exact order estimates of N-widths of classes of functions analytic in a simply connected domain
by: Vakarchuk, S. B., et al.
Published: (1996)

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

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)

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

Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space $L_2 (R)$. II
by: Vakarchuk, S. B., et al.
Published: (2018)

Hausdorff diameter of a nonsymmetric class of vector functions
by: Polovina, A. A., et al.
Published: (1998)

The best polynomial approximation of functions analytical in the single circle
by: Vakarchuk, S. B., et al.
Published: (1990)

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)

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

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

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

On estimates of diameter values of classes of functions in the weight space L2,γ(R2), γ = exp(−x2 − y2)
by: S. B. Vakarchuk
Published: (2022)

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

On the best polynomial approximation of entire transcendental functions in Banach spaces. II
by: Vakarchuk, S. B., et al.
Published: (1994)

Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions
by: Vakarchuk, S. B., et al.
Published: (2001)

The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables
by: Romanyuk, A. S., et al.
Published: (1993)

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)

On coefficient functional and Bohr-radius for some classes of analytic functions
by: Palani, Jeyaraman Muthusamy, et al.
Published: (2026)

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)

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

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

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)

Rate of convergence of the Taylor series for some classes of analytic functions
by: Savchuk, V. V., et al.
Published: (1998)

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)

Generalized characteristics of smoothness and some extremе problems of the approximation theory of functions in the space $L_2 (R)$. I
by: Vakarchuk, S. B., et al.
Published: (2018)

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)

Widths of some classes of functions defined by the generalized moduli of continuity _in the space L_2
by: S. B. Vakarchuk
Published: (2017)

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)

On the radii of convexity and starlikeness for some special classes of analytic functions in a disk
by: Kotsur, I. M., et al.
Published: (1996)

On Some Problems of Polynomial Approximation of Entire Transcendental Functions
by: Vakarchuk, S. B., et al.
Published: (2002)

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

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)

Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. II
by: Romanyuk, V. S., et al.
Published: (2001)

On some extremal problems of approximation theory in the complex plane
by: Vakarchuk, S. B., et al.
Published: (2004)

On the theory of one-sheeted conformal mappings realized by some classes of the Nevanlinna analytical functions
by: Todorov, P. G., et al.
Published: (1970)