Výsledky vyhledávání - "Approximation by rational functions"

Multinode Shepard method for two-dimensional elliptic boundary problems on different shaped domains Autor Dell’Accio, Francesco, Di Tommaso, Filomena, Francomano, Elisa

“…In this paper, we continue the study on the application of multinode Shepard method to numerically solve elliptic Partial Differential Equations (PDEs)…”
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On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3 Autor Lutsiv, Y., Antonova, T., Dmytryshyn, R., Dmytryshyn, M.

“…The paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when…”
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The enriched multinode Shepard collocation method for solving elliptic problems with singularities Autor Dell'Accio, Francesco, Di Tommaso, Filomena, Francomano, Elisa

“…In this paper, the multinode Shepard method is adopted for the first time to numerically solve a differential problem with a discontinuity in the boundary…”
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Research on the convergence of some types of functional branched continued fractions Autor Bodnar, D.I., Bodnar, O.S., Dmytryshyn, M.V., Popov, M.M., Martsinkiv, M.V., Salamakha, O.B.

“…An analysis of research on the problem of convergence of various types of functional branched continued fractions has been carried out. Branched continued…”
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On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios Autor Nyzhnyk, Ivan, Dmytryshyn, Roman, Antonova, Tamara

“…The paper investigates the problem of constructing branched continued fraction expansions of hypergeometric functions…”
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On the analytic extension of the Horn’s hypergeometric function H4 Autor Dmytryshyn, R., Lutsiv, I.-A., Dmytryshyn, M.

“…The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function $H_4$ with real and complex…”
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A priori bounds for truncation error of branched continued fraction expansions of Horn's hypergeometric functions $H_4$ and their ratios Autor Dmytryshyn, R.I., Cesarano, C., Dmytryshyn, M., Lutsiv, I.-A.V.

“…The paper considers the extension of analytic functions by a special family of functions — branched continued fractions. The truncation error bounds for…”
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Numerical stability of the branched continued fraction expansion of Horn's hypergeometric function $H_4 Autor R. Dmytryshyn, C. Cesarano, I.-A. Lutsiv, M. Dmytryshyn

“…In this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions…”
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Accurate and stable numerical method based on the Floater-Hormann interpolation for stochastic Itô-Volterra integral equations Autor Mirzaee, Farshid, Naserifar, Shiva, Solhi, Erfan

“…In various fields of science and engineering, such as financial mathematics, mathematical physics models, and radiation transfer, stochastic integral equations…”
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On the Analytic Continuation of Appell’s Hypergeometric Function F2 to Some Symmetric Domains in the Space C2 Autor Dmytryshyn, Roman

“…The paper considers the problem of representation and extension of Appell’s hypergeometric functions by a special family of functions—branched continued…”
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Truncation Error Bounds for Branched Continued Fraction Expansions of Some Appell’s Hypergeometric Functions F2 Autor Dmytryshyn, Roman

“…This paper considers the problem of approximating some Appell’s hypergeometric functions F2 by their branched continued fraction expansions. Using the formula…”
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On Analytical Continuation of the Horn’s Hypergeometric Functions H3 and Their Ratios Autor Dmytryshyn, Roman, Antonova, Tamara, Hladun, Sofiia

“…This paper considers the Horn’s hypergeometric function H3, which is closely related to other hypergeometric functions and has various mathematical or physical…”
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On Analytical Extension of Generalized Hypergeometric Function 3F2 Autor Dmytryshyn, Roman, Oleksyn, Volodymyra

“…The paper considers the generalized hypergeometric function F23, which is important in various fields of mathematics, physics, and economics. The method is…”
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Sharp Markov-type inequalities for rational functions on several intervals Autor Akturk, M.A., Lukashov, A.

“…In this paper, we give sharp Rusak- and Markov-type inequalities for rational functions on several intervals when the system of intervals is a “rational…”
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Nonlinear inversion of a band-limited Fourier transform Autor Beylkin, Gregory, Monzón, Lucas

“…We consider the problem of reconstructing a compactly supported function with singularities either from values of its Fourier transform available only in a…”
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Adaptive Fourier decomposition of functions in quaternionic Hardy spaces Autor Qian, Tao, Sprößig, Wolfgang, Wang, Jinxun

“…We study decompositions of functions in the Hardy spaces into linear combinations of the basic functions in the orthogonal rational systems Bn, which are…”
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New series expansions of the Gauss hypergeometric function Autor López, José L., Temme, Nico M.

“…The Gauss hypergeometric function 2 F 1 ( a , b , c ; z ) can be computed by using the power series in powers of . With these expansions, 2 F 1 ( a , b , c ; z…”
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Discrete Orthogonality of the Malmquist Takenaka System of the Upper Half Plane and Rational Interpolation Autor Eisner, Timea, Pap, Margit

“…In the representation of non periodic signals the use of special rational orthogonal systems is more efficient. One of these bases is the Malmquist–Takenaka…”
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MATCHING PURSUITS AMONG SHIFTED CAUCHY KERNELS IN HIGHER-DIMENSIONAL SPACES Autor 钱涛 王晋勋 杨燕

“…Appealing to the Clifford analysis and matching pursuits, we study the adaptive decompositions of functions of several variables of finite energy under the…”
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An introduction to the topics presented at the conference “Approximation and extrapolation of convergent and divergent sequences and series” CIRM Luminy: September 28, 2009–October 2, 2009 Autor Weniger, Ernst Joachim

“…The conference “Approximation and extrapolation of convergent and divergent sequences and series” discusses some very old problems of mathematical analysis and…”
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