Cover Image

Exact Jackson - Stechkin-type inequalities for 2π -periodic functions in L 2 and widths of some classes of functions

We consider the problem of finding exact inequalities for the best approximations of periodical differentiable functions by trigonometric polynomials and the m -order moduli of continuity in the space L 2 and present their applications. For some classes of functions defined by the indicated moduli...

Full description

Saved in:

Bibliographic Details
Date:	2011
Main Authors:	Shabozov, M. Sh., Шабозов, М. Ш.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2011
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2816
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

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

On exact values of quasiwidths for some classes of differentiable periodic functions of two variables
by: Akobirshoev, M. O., et al.
Published: (2009)

Structural characteristics of functions from L_2 and the exact values of widths of some functional classes
by: S. B. Vakarchuk, et al.
Published: (2014)

Mean-square approximation by an angle in $L_2$ and the values of quasiwidths for some classes of functions
by: Shabozov, M. Sh., et al.
Published: (2020)

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 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)

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 of the classes of (ψ,β)-differentiable functions in L2. II
by: S. B. Vakarchuk
Published: (2016)

Jackson-type inequalities with generalized modulus of continuity and exact values of the n-widths for the classes of (ψ,β)-differentiable functions in L2. III
by: B. S. Vakarchuk
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 L2. I
by: S. B. Vakarchuk
Published: (2016)

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 – Stechkin-type inequalities for the approximation of elements of Hilbert spaces
by: V. F. Babenko, et al.
Published: (2018)

Jackson – Stechkin-type inequalities for the approximation of elements of Hilbert spaces
by: Babenko, V. F., et al.
Published: (2018)

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 L2 (R)
by: S. B. Vakarchuk
Published: (2014)

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 constant in the Jackson inequality in the space L2
by: Doronin, V. G., et al.
Published: (1994)

On exact constants in Jackson-type inequalities in the space $L^2$
by: Volchkov, V. V., et al.
Published: (1995)

On the renewal of a solution of the Dirichlet boundary-value problem for a biharmonic equation
by: Shabozov, M. Sh., et al.
Published: (1998)

An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity
by: Shabozov, M. Sh., et al.
Published: (1995)

Best approximation and best unilateral approximation of the kernel of a biharmonic equation and optimal renewal of the values of operators
by: Shabozov, M. Sh., et al.
Published: (1995)

Nonsymmetric approximations of classes of periodic functions by splines of defect 2 and Jackson-type inequalities
by: Babenko, V. F., et al.
Published: (2009)

Exact constants in Jackson-type inequalities for $L_2$-approximation on an axis
by: Doronin, V. G., et al.
Published: (2009)

Exact constants in Jackson-type inequalities for $L_2$-approximation on an axis
by: Doronin, V. G., et al.
Published: (2009)

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

On the error of the interpolation by bilinear splines
by: Shabozov, M. Sh., et al.
Published: (1994)

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

Exact constants in inequalities of the jackson type for quadrature formulas
by: Doronin, V. G., et al.
Published: (2000)

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)

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)

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

On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space
by: Langarshoev, M. R., et al.
Published: (2015)

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

On Jackson-Type Inequalities for Functions Defined on a Sphere
by: Babenko, V. F., et al.
Published: (2005)

An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions
by: Popov, P. A., et al.
Published: (2001)

On the Best Linear Methods of Approximation and the Exact Values of Widths for Some Classes of Analytic Functions in the Weighted Bergman Space
by: M. R. Langarshoev
Published: (2015)