On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function
Mathematics, 2022 The Lerch zeta function is defined by a Dirichlet series depending on two fixed parameters. In the paper, we consider the approximation of analytic functions by discrete shifts of the Lerch zeta function, and we prove that, for arbitrary parameters and a
Audronė Rimkevičienė +1 more
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On approximation of analytic functions by periodic Hurwitz zeta-functions
Mathematical Modelling and Analysis, 2019 The periodic Hurwitz zeta-function ζ(s, α; a), s = σ +it, with parameter 0 < α ≤ 1 and periodic sequence of complex numbers a = {am } is defined, for σ > 1, by series sum from m=0 to ∞ am / (m+α)s, and can be continued moromorphically to the whole ...
Violeta Franckevič +2 more
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Joint discrete approximation of a pair of analytic functions by periodic zeta-functions
Mathematical Modelling and Analysis, 2020 In the paper, the problem of simultaneous approximation of a pair of analytic functions by a pair of discrete shifts of the periodic and periodic Hurwitz zeta-function is considered. The above shifts are defined by using the sequence of imaginary parts of
Aidas Balčiūnas +5 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 by Sequence of Operators Involving Analytic Functions
Mathematics, 2019 In this contribution, we define a new operator sequence which contains analytic functions. Using approximation techniques found by Korovkin, some results are derived.
Sezgin Sucu, Serhan Varma
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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 of Analytic Functions: A Method of Enhanced Convergence [PDF]
Mathematics of Computation, 1994 We deal with a method of enhanced convergence for the approximation of analytic functions. This method introduces conformal transformations in the approximation problems, in order to help extract the values of a given analytic function from its Taylor expansion around a point.
Bruno, Oscar P., Reitich, Fernando
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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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