Cover Image

On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions

Saved in:

Bibliographic Details
Date:	2013
Main Authors:	S. B. Vakarchuk, A. V. Shvachko
Format:	Article
Language:	English
Published:	2013
Series:	Ukrainian Mathematical Journal
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0000788344
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

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 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)

On the approximation in the mean with the Chebyshev-Hermite weight by algebraic polynomials on the real axis
by: S. B. Vakarchuk, et al.
Published: (2013)

Best one-sided approximation on the average for the classes of differentiable functions by algebraic polynomials
by: V. V. Siedunova
Published: (2017)

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)

On the best approximation by &quot;angles&quot; in the mean on the plane R2 with the Chebyshev-Hermite weight
by: S. B. Vakarchuk, et al.
Published: (2014)

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)

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)

Approximation in the mean of the classes of functions in the space L2|(0,1);x| by the Fourier–Bessel sums and estimates of the values of their n-widths
by: S. Vakarchuk, et al.
Published: (2024)

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)

Exact values of the best $(, )$-approximations of classes of convolutions with kernels that do not increase the number of sign changes
by: N. V. Parfinovych
Published: (2017)

Approximations of entire functions by polynomials of the best standard approximation
by: V. A. Voitovych
Published: (2017)

Widths of classes of functions in the weight space L2,г(R),г=exp(−x2)
by: S. B. Vakarchuk
Published: (2022)

Exact Constants of the Best One Sided Approximations of the Sum Analytic Functions from Different Classes
by: Сорич, Віктор, et al.
Published: (2022)

Exact Constants of the Best One Sided Approximations of the Sum Analytic Functions from Different Classes
by: V. A. Sorych, et al.
Published: (2022)

On the Best Polynomial Approximations of Entire Transcendental Functions of Many Complex Variables in Some Banach Spaces
by: S. B. Vakarchuk, et al.
Published: (2014)

On the estimates of the values of various widths of classes of functions of two variables in the weight space L2,г(R2), г=exp(−x2 − y2)
by: S. B. Vakarchuk, et al.
Published: (2020)

On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space L2x(0,1)
by: S. B. Vakarchuk
Published: (2019)

Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric
by: H. M. Vlasyk, et al.
Published: (2019)

On existence and uniqueness of polynomial of the best mean approximation with a sign-sensitive weigh
by: A. V. Pokrovskij
Published: (2013)

The Best Approximation of Function Classes Generated by Composite Kernels
by: Сорич, Віктор, et al.
Published: (2025)

Best Bilinear Approximations for the Classes of Functions of Many Variables
by: A. S. Romanjuk, et al.
Published: (2013)

Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials
by: V. V. Babenko, et al.
Published: (2016)

Exact constant in the Dzyadyk inequality for the derivative of an algebraic polynomial
by: V. D. Halan, et al.
Published: (2017)

On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximations by entire functions of the exponential type on the entire real axis
by: S. B. Vakarchuk
Published: (2017)

Best approximation by &quot;angles&quot; of analytic in the unit bidisk functions
by: S. B. Vakarchuk, 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)

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)

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

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

On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II
by: P. Цzkartepe, et al.
Published: (2017)

Interference of the weight and boundary contour for algebraic polynomials in the weighted Lebesgue spaces. I
by: P. Цzkartepe, et al.
Published: (2016)

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)

Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables
by: A. S. Romaniuk
Published: (2018)

Exact equalities for approximation of functions from the Sobolev class by their generalized Poisson integrals
by: Ju. I. Kharkevich
Published: (2021)

Approximation of classes of (ψ,β)-differentiable functions by Rogozinski polynomials
by: I. R. Kovalchuk
Published: (2017)

Approximation of Smooth Functions by Weighted Means of N-Point Padй Approximants
by: R. Jedynak, et al.
Published: (2013)