Order of uniform approximation by polynomial interpolation in the complex plane and beyond
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
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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On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
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
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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Exact Calculation of Ring Diagrams and the Off-shell Effect on the Equation of State [PDF]
The partition function with ring diagrams at finite temperature is exactly caluclated by using contour integrals in the complex energy plane. It contains a pole part with temperature and momentum dependent mass and a phase shift part induced by off-shell
A. Peshier +12 more
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Ideal Convergence of k-Positive Linear Operators
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
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
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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Spline approximation of multivalued functions in linear structures routing
Objectives. The theory and methods of spline approximation of plane curves given by a sequence of points are currently undergoing rapid development.
D. A. Karpov, V. I. Struchenkov
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Polynomial approximations in the complex plane
The Lanczos \(\tau\)-method yields polynomial approximations for analytic functions which satisfy linear differential equations with polynomial coefficients. In particular, if the perturbation is proportional to the Faber or Chebyshev polynomials of a specific region G, then the method produces near-minimax polynomial approximations on G.
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