Buchumschlag

On the approximation of functions by polynomials and entire functions of exponential type

We present a brief survey of works in the approximation theory of functions known to the author and connected with V. K. Dzyadyk’s scientific publications.

Gespeichert in:

Bibliographische Detailangaben
Datum:	2019
Hauptverfasser:	Trigub, R. M., Тригуб, Р. М.
Format:	Artikel
Sprache:	Russisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2019
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1439
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

On the approximation of functions by polynomials and entire functions of exponential type
von: R. M. Trigub
Veröffentlicht: (2019)

Best mean-square approximation of functions defined on the real axis by entire functions of exponential type
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2012)

Overdetermined interpolation problems for entire functions of the exponential type
von: V. V. Volchkov, et al.
Veröffentlicht: (2014)

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

On the Relationship Between the Rate of Polynomial Approximation of an Entire Function and its Order and Type
von: Dveirin, M. Z., et al.
Veröffentlicht: (2015)

A relation between two results about entire functions of exponential type
von: Koosis, P., et al.
Veröffentlicht: (1994)

On the Relationship Between the Rate of Polynomial Approximation of an Entire Function and its Order and Type
von: M. Z. Dveirin
Veröffentlicht: (2015)

On Some Problems of Polynomial Approximation of Entire Transcendental Functions
von: Vakarchuk, S. B., et al.
Veröffentlicht: (2002)

Approximation of functions regular in convex polygons by exponential polynomials
von: Melnik, Yu. I., et al.
Veröffentlicht: (1988)

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
von: Vakarchuk, S. B., et al.
Veröffentlicht: (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
von: S. B. Vakarchuk
Veröffentlicht: (2017)

On various moduli of smoothness and $K$-functionals
von: Trigub , R. M., et al.
Veröffentlicht: (2020)

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

Approximation of Functions of Many Variables from the Classes $B_{p,θ}^{Ω} (ℝ^d)$ By Entire Functions of Exponential Type
von: Myronyuk, V. V., et al.
Veröffentlicht: (2014)

On Fourier multipliers and absolute convergence of Fourier integrals of radial functions
von: Trigub, R. M., et al.
Veröffentlicht: (2010)

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

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

Polynomial Asymptotics of Entire Functions of Finite Order
von: Borova, O. I., et al.
Veröffentlicht: (2003)

Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series
von: Kotova, O. V., et al.
Veröffentlicht: (2012)

Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form
von: Melnik , Yu. I., et al.
Veröffentlicht: (1992)

Direct theorems of approximation for the functions regular in convex polygon by exponential polynomials in the integral metrics
von: Melnik, Yu. I., et al.
Veröffentlicht: (1988)

Inverse theorems of approximation of regular (in convex polygons) functions by exponential polynomials in the integral metric
von: Melnik , Yu. I., et al.
Veröffentlicht: (1988)

Approximation by interpolation trigonometric polynomials in metrics of the spaces Lp on the classes of periodic entire functions
von: A. S. Serdiuk, et al.
Veröffentlicht: (2019)

On uniform approximations of almost periodic functions by entire functions of finite degree
von: Timan, M. F., et al.
Veröffentlicht: (1995)

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

Approximation by entire functions in the mean on the real axis
von: Stepanets , A. I., et al.
Veröffentlicht: (1991)

Approximation by interpolation trigonometric polynomials in metrics of the spaces $L_p$ on the classes of periodic entire functions
von: Serdyuk, A. S., et al.
Veröffentlicht: (2019)

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

Bernstein-type characterization of entire functions
von: O. A. Dovgoshey, et al.
Veröffentlicht: (2023)

Bernstein-type characterization of entire functions
von: Dovgoshey, O.A., et al.
Veröffentlicht: (2023)

On the approximation and growth of entire harmonic functions in Rn
von: O. V. Veselovska
Veröffentlicht: (2018)

Chebyshev approximation of the multivariable functions by the exponential expression
von: P. S. Malachivskyi, et al.
Veröffentlicht: (2021)

On the approximation and growth of entire harmonic functions in $R_n$
von: Veselovskaya, O. V., et al.
Veröffentlicht: (2018)

Approximation of analytical functions by polynomials «approaching» polynomials of the best approximation
von: Maimeskul , V. V., et al.
Veröffentlicht: (1992)

Approximation of functions from isotropic classes BΩ(1,θ)(Rd) to integer functions of exponential type
von: V. V. Myroniuk
Veröffentlicht: (2013)

Approximation properties of systems of exponentials in one space of analytic functions
von: Vynnyts’kyi, B. V., et al.
Veröffentlicht: (1996)

Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero
von: Zabolotskii, N. V., et al.
Veröffentlicht: (1996)

Generalized kernels of the Toeplitz type for exponentially convex functions
von: O. B. Chernobai
Veröffentlicht: (2016)

Generalized kernels of the Toeplitz type for exponentially convex functions
von: Chernobai, O. B., et al.
Veröffentlicht: (2016)

Inequalities of the Jackson Type in the Approximation of Periodic Functions by Fejér, Rogosinski, and Korovkin Polynomials
von: Bozhukha, L. N., et al.
Veröffentlicht: (2000)