Order of uniform approximation by polynomial interpolation in the complex plane and beyond
Indagationes Mathematicae, 2023 Submit to Indagationes Mathematicae, Prof. Jaap Korevaar 100-th birthday special issue, 32 pages, no figures, keywords:Lebesgue constants; Marcinkiewicz-Zygmund inequalities; Fejer points; Conformal ...
Charles K. Chui, Lefan Zhong
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Methods of Spline Functions in Solving Problems of Telecommunication and Information Technologies
Proceedings of the International Conference on Applied Innovations in IT, 2023 The solution to problems of telecommunications and information technologies using spline approximation and spline extrapolation based on real and complex spline functions is considered.
Irina Strelkovskaya +2 more
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Improved local-constant-field approximation for strong-field QED codes [PDF]
, 2019 The local-constant-field approximation (LCFA) is an essential theoretical tool for investigating strong-field QED phenomena in background electromagnetic fields with complex spacetime structure.
Di Piazza, A. +3 more
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On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
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Analyzing Vortex Light Beam Scattering Characteristics from a Random Rough Surface
Photonics, 2023 The propagation and scattering of vortex light beams in complex media have significant implications in the fields of laser imaging, optical manipulation, and communication. This paper investigates the scattering characteristics of vortex light beams from
Xiaoxiao Zhang +3 more
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Transparent boundary conditions based on the Pole Condition for time-dependent, two-dimensional problems [PDF]
, 2012 The pole condition approach for deriving transparent boundary conditions is extended to the time-dependent, two-dimensional case. Non-physical modes of the solution are identified by the position of poles of the solution's spatial Laplace transform in ...
Alpert +27 more
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Ideal Convergence of k-Positive Linear Operators
Journal of Function Spaces and Applications, 2012 We study some ideal convergence results of k-positive linear operators defined on an appropriate subspace of the space of all analytic functions on a bounded simply connected domain in the complex plane.
Akif Gadjiev +2 more
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ELEMENTARY SOLUTIONS OF A HOMOGENEOUS Q-SIDED CONVOLUTION EQUATION
Проблемы анализа, 2018 Spectral synthesis on the complex plane related to solutions of some homogeneous equations of convolution type. There is a method to obtain solutions: we describe the elementary solutions set of the equation (spectral analysis) and prove the ...
Tatarkin A . A . +1 more
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Approximation of classes of Poisson integrals by Fejer means
Математичні Студії, 2023 The paper is devoted to the investigation of problem of approximation of continuous periodic functions by trigonometric polynomials, which are generated by linear methods of summation of Fourier series.
O. Rovenska
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Linear Sigma model in the Gaussian wave functional approximation II: Analyticity of the S-matrix and the effective potential/action [PDF]
, 2002 We show an explicit connection between the solution to the equations of motion in the Gaussian functional approximation and the minimum of the (Gaussian) effective potential/action of the linear $\Sigma$ model, as well as with the N/D method in ...
Amelino-Camelia +26 more
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