Results 31 to 40 of about 19,552 (287)

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, Xu Hongyan, Cui Yongqin, Gong Pan   +3 more
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Extension of Dasgupta’s Technique for Higher Degree Approximation

Universitas Scientiarum, 2021
In the present paper, rational wedge functions for degree two approximation have been computed over a pentagonal discretization of the domain, by using an analytic approach which is an extension of Dasgupta’s approach for linear approximation.
P. L. Powar, Rishabh Tiwari, Vishnu Narayan Mishra   +2 more
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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, Peter Kritzer, Friedrich Pillichshammer, Henryk Wozniakowski   +3 more
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Approximation of Analytic Functions by Solutions of Cauchy-Euler Equation

Journal of Function Spaces, 2016
We investigate the approximation properties of a special class of twice continuously differentiable functions by solutions of the Cauchy-Euler equation.
Soon-Mo Jung
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Polynomial Approximation of Functions Analytic in a Disk [PDF]

Proceedings of the American Mathematical Society, 1966
This result cannot be called completely unexpected, since there are earlier theorems in approximation theory which relate a bounded pth derivative of f to En(f) by a formula similar to (1) (compare Favard's theorem). We propose a new approach, based on Babenko's, yet simpler, and more general.
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The numerical approximation of analytic functions in the complex domain [PDF]

, 1980
In this paper we are concerned with the numerical approximation of analytic functions in the complex domain. This approach leads to an efficient technique for deriving an interpolation polynomial as well as a useful error ...
Price, Thomas E.
core   +1 more source

On Joint Approximation of Analytic Functions by Beurling Zeta-Functions

Mathematics
For j=1,…,r, let Pj be a system of generalized prime numbers, NPj the corresponding system of generalized integers, and ζPj(s), s=σ+it, the Beurling zeta-function. In the paper, we consider simultaneous approximation of a collection of analytic functions
Andrius Geštautas, Antanas Laurinčikas, Darius Šiaučiūnas   +2 more
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