Diameters of certain classes of analytical functions. I
In the spaces of analytic functions $E_q (\Omega), q\geq1$,, introduced by V. I. Smirnov, where $\Omega$ is a bounded simply connected domain in the plane $\mathbb C$  with sufficiently smooth boundary γ, we obtain order estimates of diameters of the classes $W^rE_p (\Omega) (р\geq1$, a...
Saved in:
| 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/8101 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On diameters of some classes of analytical functions. II.
by: Vakarchuk , S. B., et al.
Published: (1992)
by: Vakarchuk , S. B., et al.
Published: (1992)
Exact values of widths for certain functional classes
by: Vakarchuk, S. B., et al.
Published: (1996)
by: Vakarchuk, S. B., et al.
Published: (1996)
$K$-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)
by: Vakarchuk, S. B., et al.
Published: (2022)
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)
by: Vakarchuk, S. B., et al.
Published: (2001)
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)
by: Vakarchuk, S. B., et al.
Published: (1993)
$K$-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)
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)
by: Vakarchuk, S. B., et al.
Published: (1996)
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)
by: Vakarchuk, S. B., et al.
Published: (1994)
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)
by: S. B. Vakarchuk, et al.
Published: (2022)
The best polynomial approximation of functions analytical in the single circle
by: Vakarchuk, S. B., et al.
Published: (1990)
by: Vakarchuk, S. B., et al.
Published: (1990)
Hausdorff diameter of a nonsymmetric class of vector functions
by: Polovina, A. A., et al.
Published: (1998)
by: Polovina, A. A., et al.
Published: (1998)
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)
by: S. B. Vakarchuk
Published: (2022)
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)
by: S. B. Vakarchuk, et al.
Published: (2022)
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)
by: Vakarchuk, S. B., et al.
Published: (2016)
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)
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)
by: Vakarchuk, S. B., et al.
Published: (2002)
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)
by: Vakarchuk, S. B., et al.
Published: (2004)
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)
by: Vakarchuk, S. B., et al.
Published: (2019)
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)
by: Vakarchuk, S. B., et al.
Published: (2022)
On exact values of quasiwidths of some classes of functions
by: Vakarchuk, S. B., et al.
Published: (1996)
by: Vakarchuk, S. B., et al.
Published: (1996)
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)
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 $(ψ,β)$-differentiable functions in $L_2$. II
by: Vakarchuk, S. B., et al.
Published: (2016)
by: Vakarchuk, S. B., et al.
Published: (2016)
Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: Bodenchuk, V. V., et al.
Published: (2015)
by: Bodenchuk, V. V., et al.
Published: (2015)
On the best polynomial approximation of entire transcendental functions in banach spaces. I
by: Vakarchuk, S. B., et al.
Published: (1994)
by: Vakarchuk, S. B., et al.
Published: (1994)
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)
by: Vakarchuk, S. B., et al.
Published: (2014)
Exact Values of Kolmogorov Widths for the Classes of Analytic Functions. I
by: V. V. Bodenchuk, et al.
Published: (2015)
by: V. V. Bodenchuk, et al.
Published: (2015)
On inequalities for seminorms of certain classes of differentiable periodic functions
by: Polyakov, O. V., et al.
Published: (1997)
by: Polyakov, O. V., et al.
Published: (1997)
On the angular derivatives of certain class of holomorphic functions in the unit disc
by: B. N. Ornek
Published: (2013)
by: B. N. Ornek
Published: (2013)
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)
by: Vakarchuk, S. B., et al.
Published: (2018)
The sharp bound of the third Hankel determinant for certain subfamilies of analytic functions
by: B. Rath, et al.
Published: (2024)
by: B. Rath, et al.
Published: (2024)
Averaged characteristics of smoothness in $L_2$ and estimations for the widths values of function classes
by: Vakarchuk, S., et al.
Published: (2025)
by: Vakarchuk, S., et al.
Published: (2025)
Approximation of certain classes of differentiable functions by generalized splines
by: Polyakov, O. V., et al.
Published: (1997)
by: Polyakov, O. V., et al.
Published: (1997)
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)
by: Vakarchuk, S., 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)
by: Vakarchuk, S. B., et al.
Published: (2004)
Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I
by: Romanyuk, V. S., et al.
Published: (2001)
by: Romanyuk, V. S., et al.
Published: (2001)
On the best polynomial approximation in the space L2 and widths of some classes of functions
by: Vakarchuk, S. B., et al.
Published: (2012)
by: Vakarchuk, S. B., et al.
Published: (2012)
The sharp bound of the third Hankel determinant for certain subfamilies of analytic functions
by: Rath, Biswajit, et al.
Published: (2024)
by: Rath, Biswajit, et al.
Published: (2024)
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)
by: Vakarchuk, S., et al.
Published: (2026)
On a Certain Class of Γ-Contractions
by: B. Bendoukha
Published: (2021)
by: B. Bendoukha
Published: (2021)
On Interpolation Sequences of One Class of Functions Analytic in the Unit Disk
by: Vynnyts’kyi, B. V., et al.
Published: (2001)
by: Vynnyts’kyi, B. V., et al.
Published: (2001)
Similar Items
-
On diameters of some classes of analytical functions. II.
by: Vakarchuk , S. B., et al.
Published: (1992) -
Exact values of widths for certain functional classes
by: Vakarchuk, S. B., et al.
Published: (1996) -
$K$-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) -
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) -
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)