Approximation of analytic functions of exponential derived and integral bases in Fréchet spaces [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2022 The purpose of this paper is to establish some theorems on the representation of analytic functions by exponential derived bases (EDBs) and exponential integral bases (EIBs) in Fréchet spaces.
Gamal Hassan, Amira Atta
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Approximation of entire functions of slow growth on compact sets [PDF]
, 1981 summary:In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of ...
Kapoor, G.P. +3 more
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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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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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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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Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type
Open Mathematics, 2020 In this paper, we introduce the concept of the perfect ϕ\phi -type to describe the growth of the maximal molecule of Laplace-Stieltjes transform by using the more general function than the usual.
Liu Simin +3 more
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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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Approximation of analytic functions in Korobov spaces
Journal of Complexity, 2014 We study multivariate $L_2$-approximation for a weighted Korobov space of analytic periodic functions for which the Fourier coefficients decay exponentially fast. The weights are defined, in particular, in terms of two sequences $\boldsymbol{a} =\{a_j\}$ and $\boldsymbol{b} =\{b_j\}$ of numbers no less than one. Let $e^{L_2-\mathrm{app},Λ}(n,s)$ be the
Josef Dick +3 more
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