Cover Image

Application of Dzyadyk’s polynomial kernels in the constructive function theory

This is a survey of recent results in the constructive theory of functions of complex variable obtained by the author through the application of the theory of Dzjadyk’s kernels combined with the methods and results from modern geometric function theory and the theory of quasiconformal mappings.

Saved in:

Bibliographic Details
Date:	2019
Main Authors:	Andrievskii, V. V., Андрієвський, В. В.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2019
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1427
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

Application of Dzyadyk&#039;s polynomial kernels in the constructive function theory
by: V. Andrievskii
Published: (2019)

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

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

International conference on the theory of approximation of functions and its applications dedicated to the memory of V. K. Dzyadyk
by: Romanyuk, A. S., et al.
Published: (1999)

On conformal invariants in problems of constructive function theory on sets of the real line
by: Andrievskii, V.V.
Published: (2004)

Dzyadyk's Technique for Ordinary Differential Equations Using Hermitian Interpolating Polynomials
by: Rizk, M.M.
Published: (2001)

Dzyadyk's Technique for Ordinary Differential Equations Using Hermitian Interpolating Polynomials
by: Rizk, M. M., et al.
Published: (2001)

Vladislav Kirillovich Dzyadyk
by: EditorialBoard, et al.
Published: (1998)

Approximation of harmonic functions on compact sets in ℂ
by: Andrievskii, V. V., et al.
Published: (1993)

Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
by: Komori, Y., et al.
Published: (2009)

Kernels of derivations of polynomial rings and Casimir elements
by: Bedratyuk, L. P., et al.
Published: (2010)

On the theory of generalized Toeplitz kernels
by: Berezansky, Yu.M., et al.
Published: (2000)

On the Theory of Generalized Toeplitz Kernels
by: Berezansky, Yu. M., et al.
Published: (2000)

Dzyadyk formula for summation of double Faber series
by: Tsvil', M. M., et al.
Published: (1994)

Vladyslav Kyrylovych Dzyadyk (on his 100th birthday)
by: Holub, A. P., et al.
Published: (2019)

Vladyslav Kyrylovych Dzyadyk (on his 100th birthday)
by: A. M. Samoilenko, et al.
Published: (2019)

Some properties of polynomials orthogonal in a space with “intermediate” topology. Kernel function and extremal properties
by: Dovgoshei, A. A., et al.
Published: (1993)

On the Spectral Theory of Generalized Toeplitz Kernels
by: Chernobai, O. B., et al.
Published: (2003)

The Laguerre functional polynomials, their properties and application
by: Demenin, A. N., et al.
Published: (1971)

Vladislav Kirillovich Dzyadyk (on his 80-th birthday)
by: EditorialBoard, et al.
Published: (1999)

Ukrainian mathematician Vladyslav Kyrylovych Dzyadyk (to the 100th anniversary)
by: A. M. Samoilenko, et al.
Published: (2019)

Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices
by: Rosengren, H.
Published: (2006)

Construction and research based biorthogonal polynomials Chebyshev polynomials
by: Ya. D. Pianylo, et al.
Published: (2013)

Construction of Diagnostic Signs Space Based on the Sections of Volterra Kernels
by: O. O. Fomin
Published: (2018)

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

On the theory of generalized Legendre polynomials
by: Khorоshun, V. V., et al.
Published: (1971)

Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means
by: Usenko, E. G., et al.
Published: (1999)

Criteria for the coincidence of the kernel of a function with the kernels of its Riesz and Abel integral means
by: Usenko, E. G., et al.
Published: (1998)

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

Theory of Potential with Respect to Consistent Kernels; Theorem on Completeness and Sequences of Potentials
by: Zorii, N. V., et al.
Published: (2004)

To Determination of Parameters of Fractional-Exponential Heredity Kernels in Nonlinear Theories of Viscoelasticity
by: V. P. Golub, et al.
Published: (2017)

Some remarks for analytic functions related to Fibonacci polynomials and their applications
by: Düzenli, Timur, et al.
Published: (2026)

Kernel Function, -Integral Transformation and -Heun Equations
by: Takemura, Kouichi
Published: (2024)

Best approximation by trigonometric polynomials of convolution classes generated by some linear combinations of periodic kernels
by: Serdyuk, A., et al.
Published: (2026)

Modern trends in Green’s functions: theory and applications
by: Morozov, V., et al.
Published: (2006)

Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus
by: Lopushanskyi, A. O., et al.
Published: (2015)

On the 75th birthday of Vladislav Kirillovich Dzyadyk, Corresponding Member of the Ukrainian Academy of Sciences
by: EditorialBoard, et al.
Published: (1994)

Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus
by: A. O. Lopushanskyi, et al.
Published: (2015)

A new approach to the construction of generalized classical polynomials
by: Makarov, V. L., et al.
Published: (2021)

Approximation of the Bergman Kernels by Rational Functions with Fixed Poles
by: S. O. Chaichenko
Published: (2017)