On approximation of homomorphisms of algebras of entire functions on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2019 It is known due to R. Aron, B. Cole and T. Gamelin that every complex homomorphism of the algebra of entire functions of bounded type on a Banach space $X$ can be approximated in some sense by a net of point valued homomorphism. In this paper we consider
H.M. Pryimak
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Approximation of analytic functions by repeated de la Vallee Poussin sums [PDF]
Компьютерные исследования и моделирование, 2019 The paper deals with the problems of approximation of periodic functions of high smoothness by arithmetic means of Fourier sums. The simplest and natural example of a linear process of approximation of continuous periodic functions of a real variable is ...
Olga G Rovenska
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APPROXIMATION BY BOUNDARY VALUES OF ANALYTIC FUNCTIONS [PDF]
Proceedings of the National Academy of Sciences, 1954 \( D \) is a finite multiply connected domain in the complex plane, bounded by a finite system \( C \) of rectifiable curves. \( L^{k}=L^{k}(C), k \geq 1 \), is the space of (equivalence classes of) complex valued functions \( f(z), L^{k} \)-integrable on \( C \), with norm \( \|f\|_{k}=\int_{C}|f|^{k}|d z|\).
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Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]
, 2008 For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio +7 more
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The Investigation of the Discrete Universality of L-Functions of Elliptic Curves
Jaunųjų Mokslininkų Darbai, 2022 In the paper, we prove the discrete universality theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the L-functions of elliptic curves.
Samanta Zakaitė, Antanas Garbaliauskas
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APPROXIMATION OF THE DIFFERENTIATION OPERATOR ON THE CLASS OF FUNCTIONS ANALYTIC IN AN ANNULUS
Ural Mathematical Journal, 2017 In the class of functions analytic in the annulus \(C_r:=\left\{z\in\mathbb{C ...
Roman R. Akopyan
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Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2011 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Davydov, Oleg
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Approximation Theorems for Generalized Complex Kantorovich-Type Operators
Journal of Applied Mathematics, 2012 The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials () attached to analytic functions on compact disks are obtained.
N. I. Mahmudov, M. Kara
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About the rate of rational approximation of some analytic functions
Mathematical Modelling and Analysis, 1998 The article is devoted to results relating to the theory of rational approximation of an analytic function. Let ƒ be an analytic function on the disk {z : |z| < ñ), ñ > 1. The rate of decrease of the best approximations ñn of a function ƒ by the rational
A. YA. Radyno
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Superoptimal Analytic Approximations of Matrix Functions
Journal of Functional Analysis, 1994 The paper deals with the problem of approximation of a bounded matrix function \(G\) on the unit circle by functions \(Q\) bounded and analytic in the unit disk. In the case of continuous \(G\) it is stated that there exists a unique \(Q\) such that \(G- Q\) minimizes the singular values. The structure of the error \(G-Q\) and smoothness properties of \
Peller, V. V., Young, N. J.
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