Cover Image

Estimation of the Best Approximations for the Generalized Derivative in Banach Spaces

The main task of the theory of approximation is to establish the properties of the approximation characteristics of this function on the basis of its investigated properties. Functions with the same properties are grouped into classes, and then the facts established for a particular class apply to e...

Full description

Saved in:

Bibliographic Details
Date:	2021
Main Authors:	Радзієвська, Олена, Ковальська, Ірина
Format:	Article
Language:	English
Published:	Кам'янець-Подільський національний університет імені Івана Огієнка 2021
Online Access:	http://mcm-math.kpnu.edu.ua/article/view/251176
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Mathematical and computer modelling. Series: Physical and mathematical sciences

Institution

Mathematical and computer modelling. Series: Physical and mathematical sciences

Similar Items

The Inverse Theorem for the Generalized Derivative in Banach Spaces
by: Радзієвська, Олена, et al.
Published: (2023)

Estimation of the Best Approximations for the Generalized Derivative in Banach Spaces
by: O. I. Radziyevska, et al.
Published: (2021)

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

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

Mathematical Model of Optimal Planning of the Production Process
by: Радзієвська, Олена, et al.
Published: (2024)

Application of Bayesian Method in Modeling Economic Processes
by: Радзієвська, Олена, et al.
Published: (2025)

Best approximations of periodic functions in generalized lebesgue spaces
by: Chaichenko, S. O., et al.
Published: (2012)

On the uniqueness of an element of the best $L_1$-approximation for functions with values in a banach space
by: Babenko, V. F., et al.
Published: (2000)

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

Generalization of Negative Results for Interpolation Convex Approximation of Functions Having a Fractional Derivative in Sobolev Space
by: Петрова, Тамара, et al.
Published: (2022)

Approximation of general б-cubic functional equations in 2-Banach spaces
by: G. Z. Eskandani, et al.
Published: (2016)

Approximation of general α-cubic functional equations in 2-Banach spaces
by: Eskandani, G. Z., et al.
Published: (2016)

The best M-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space L_q
by: K. V. Shvai
Published: (2016)

On the uniqueness of elements of the best approximation and the best one-sided approximation in the space $L_1$
by: Babenko, V. F., et al.
Published: (1994)

On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$
by: Motornaya, O. V., et al.
Published: (1993)

Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space B1,1
by: A. S. Romaniuk, et al.
Published: (2021)

Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space $B_{1,1}$
by: Romanyuk, A. S., et al.
Published: (2021)

Estimates of the best orthogonal trigonometric approximations of the generalized multidimensional analogues of the Bernoulli kernels and classes L Ш в, 1 in the space Lq
by: K. V. Shvai
Published: (2016)

Best approximation by ridge functions in Lp-spaces
by: Maiorov, V.E.
Published: (2010)

Estimates for the best asymmetric approximations of asymmetric classes of functions
by: Motornyi, V. P., et al.
Published: (2011)

A general form of generalized invertible operators on Banach spaces
by: V. P. Zhuravlov
Published: (2016)

Best approximation by ridge functions in $L_p$-spaces
by: Maiorov, V. E., et al.
Published: (2010)

Best approximation of reproducing kernels of spaces of analytic functions
by: Savchuk, V. V., et al.
Published: (2004)

Best n-Term Approximations in Spaces with Nonsymmetric Metric
by: Rukasov, V. I., et al.
Published: (2003)

Estimate of the Remainder of the Best Quadratic Approximation of Differentiable Functions by Polynomials
by: Grigoryan, A. L., et al.
Published: (2004)

On the best polynomial approximation of entire transcendental functions of generalized order
by: Vakarchuk, S. B., et al.
Published: (2008)

Generalization of Point Interpolation Assessments of the Project Approximation of Functions, what Have a Fractional Derivative
by: Петрова, Тамара Олександрівна, et al.
Published: (2019)

On the concept of generalized solution of operator equations in banach spaces
by: Petunin, Yu. I., et al.
Published: (1996)

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)

On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation
by: Vakarchuk, S. B., et al.
Published: (2000)

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

New results in $G$-best approximation in $G$-metric spaces
by: Dehghan, Nezhad A., et al.
Published: (2010)

Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$
by: Rukasov, V. I., et al.
Published: (2003)

Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
by: Stepanets, O. I., et al.
Published: (2004)

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)

Order Estimates for the Best Approximations and Approximations by Fourier Sums of the Classes of (ψ, β)-Differential Functions
by: Hrabova, U. Z., et al.
Published: (2013)

Convergence of SP-iteration for generalized nonexpansive mapping in Banach spaces
by: J. Ali, et al.
Published: (2021)

Convergence of SP-iteration for generalized nonexpansive mapping in Banach spaces
by: Ali, J., et al.
Published: (2021)

A generalization of the Newton-Kantorovich theorem in a Banach space
by: S. M. Chuiko
Published: (2018)