Results 291 to 300 of about 57,073,214 (327)

Rational approximation to harmonic functions

Numerical Algorithms, 1999
This is a very nice paper! The author generalizes the concepts of Padé-type and partial Padé-type approximants to the situation of approximating the Fourier series of a harmonic function. The main feature of this type of approximation is the liberty in prescribing poles for the approximating functions.
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Efficient mixed rational and polynomial approximation of matrix functions [PDF]

Applied Mathematics and Computation, 2012
This paper presents an efficient method for computing approximations for general matrix functions based on mixed rational and polynomial approximations.
Sastre, Jorge
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On rational approximations of functions

Journal of Mathematical Sciences, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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THE DEGREE OF RATIONAL APPROXIMATION OF FUNCTIONS AND THEIR DIFFERENTIABILITY

Mathematics of the USSR-Izvestiya, 1981
Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 44, 1410-1416 (Russian) (1980; Zbl 0479.41013).
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Rational Approximation of Functions in Hardy Spaces

Complex Analysis and Operator Theory, 2015
Let \(H^p(C_k)\) (\(k=\pm 1\)) be the Hardy space in the half plane \(C_k=\{z=x+iy:ky>0\}\). \textit{J. B. Garnett} [Bounded analytic functions. New York etc.: Academic Press (1981; Zbl 0469.30024)] showed that the class \(U_N\) of analytic functions satisfying some smoothness conditions are dense in \(H^p(C_{+1})\) for \(00\), where \(\alpha\) is a ...
Deng, Guantie, Qian, Tao
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ON THE APPROXIMATION OF $ x^\alpha$ BY RATIONAL FUNCTIONS

Mathematics of the USSR-Izvestiya, 1981
Weak equivalence type estimates are obtained for the smallest deviation of ( a proper fraction) from the rational functions of degree not greater than in the metrics of . Bibliography: 15 titles.
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Interpolation and Approximation by Rational Functions in the Complex Domain

, 1937
R. Langer
semanticscholar   +1 more source

ON THE DEGREE OF RATIONAL APPROXIMATION OF MEROMORPHIC FUNCTIONS

Russian Academy of Sciences. Sbornik Mathematics, 1995
The main result of this paper is a generalization of the Karlsson inequality relating the best rational approximation of degree \(n\) and the, so-called, order of the approximated meromorphic function. The new inequality depends of the product of all degrees \(1,2,\dots, n\).
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ON RATIONAL APPROXIMATIONS OF FUNCTIONS WITH A CONVEX DERIVATIVE

Mathematics of the USSR-Sbornik, 1974
Let be the least uniform deviation of a continuous function () from the rational functions of degree not greater than ().Theorem. Suppose a function is given on an interval and is times differentiable , its th derivative being convex. Then where is a constant depending on and .The estimate is sharp for any and any modulus of continuity of ...
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Algorithms for the Rational Approximation of Matrix-Valued Functions

SIAM Journal of Scientific Computing, 2021
Stefan Güttel, Ion Víctor Gosea
exaly