Cover Image

Application of the even-type delayed mean in the approximation of functions from the generalized Zygmund class with weight

UDC 517.5 We introduce a new class of functions, namely, the generalized Zygmund class with weight. Moreover, we determine the degree of approximation for functions belonging to this class. The degree of approximation is expressed in terms of two moduli of continuity of the second order $w_1$ and $...

Full description

Saved in:

Bibliographic Details
Date:	2025
Main Author:	Krasniqi, Xhevat Z.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7670
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

Approximation of holomorphic functions of Zygmund class by Fejer means
by: Savchuk, V. V., et al.
Published: (2012)

Approximation of the classes of convolutions of periodic functions by Zygmund sums in integral metrics
by: U. Z. Hrabova
Published: (2014)

Estimates of uniform approximations by Zygmund sums on classes of convolutions of periodic functions
by: A. S. Serdiuk, et al.
Published: (2013)

Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums
by: Fedorenko, An. S., et al.
Published: (2000)

Approximation of the classes $C_{β}^{ψ} H_{ω}$ by generalized Zygmund sums
by: Ovsii, E. Yu., et al.
Published: (2009)

On approximation of functions from Zygmund classes by biharmonic Poisson integrals
by: B. N. Borsuk, et al.
Published: (2021)

Approximation of functions from Weyl-Nagy classes by Zygmund averages
by: Kostich, M. V., et al.
Published: (1998)

Approximation of continuous functions defined on the real axis by generalized Zygmund operators
by: Ostrovskaya, О. V., et al.
Published: (1999)

Approximate properties of the Zygmund method
by: Stepanets, O. I., et al.
Published: (1999)

On the approximation of functions from Weyl-Nagy classes by Zygmund sums in the $L_q$ metric
by: Kostich, M. V., et al.
Published: (1999)

On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions
by: S. B. Vakarchuk, et al.
Published: (2013)

Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces
by: Romanyuk, V. S., et al.
Published: (1999)

On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions
by: Vakarchuk, S. B., et al.
Published: (2013)

Approximation by rational functions on doubly connected domains in weighted generalized grand Smirnov classes
by: A. Testici
Published: (2021)

Approximation by rational functions on doubly connected domains in weighted generalized grand Smirnov classes
by: Testici, A., et al.
Published: (2021)

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

Approximation of Smooth Functions by Weighted Means of N-Point Padé Approximants
by: Gilewicz, J., et al.
Published: (2013)

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

Analogs of S-type spaces of partially even functions
by: V. A. Litovchenko
Published: (2013)

Analogs of S-type spaces of partially even functions
by: Litovchenko, V. A., et al.
Published: (2013)

Magic efficiency of approximation of smooth functions by weighted means of two $N$-point Padé approximants
by: Gilewicz, J., et al.
Published: (2018)

Magic efficiency of approximation of smooth functions by weighted means of two N-point Padй approximants
by: R. Jedynak, et al.
Published: (2018)

The best approximations of the classes of functions preset by means of the continuity modulus
by: Babenko , V. F., et al.
Published: (1992)

Approximation of certain classes of differentiable functions by generalized splines
by: Polyakov, O. V., et al.
Published: (1997)

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)

Norm of a composition operator from the space of Cauchy transforms into Zygmund-type spaces
by: A. K. Sharma
Published: (2019)

Norm of a composition operator from the space of Cauchy transforms into Zygmund-type spaces
by: Sharma, Ajay K., et al.
Published: (2019)

Approximation in the mean of classes of functions with fractional derivatives by their Abel–Poisson integrals
by: T. V. Zhigallo
Published: (2019)

Complex Hessian-type equations in the weighted m-subharmonic class
by: M. Zaway, et al.
Published: (2023)

Complex Hessian-type equations in the weighted $m$-subharmonic class
by: Zaway, Mohamed, et al.
Published: (2023)

Best approximation by holomorphic functions. Application to the best polynomial approximation of classes of holomorphic functions
by: Savchuk, V. V., et al.
Published: (2007)

The order law of large numbers of the Marcinkiewicz - Zygmund
by: Akbash, K. S., et al.
Published: (2010)

On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum
by: M. C. Dağli, et al.
Published: (2023)

On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum
by: Dağlı, Muhammet Cihat, et al.
Published: (2023)

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)

Characterization of backbending in even-even ¹²⁰⁻¹³⁰Te isotopes
by: Hussein, M., et al.
Published: (2014)

Approximative properties of Abel–Poisson-type operators on the general-ized Hцlder classes
by: Ju. I. Kharkevich, et al.
Published: (2021)

Algorithm for Management of the Complex Weight Batching with Compensation of Transport Delay
by: S. F. Zhukov, et al.
Published: (2014)

Uniform approximations of functions of Lipschitz class by threeharmonic Poisson integrals
by: U. Z. Grabova
Published: (2017)

On the Marcinkiewicz–Zygmund law of large numbers in Banach lattices
by: Matsak, I. K., et al.
Published: (2010)