Results 241 to 250 of about 283,081 (284)

Approximation by Rational Functions

Journal of the London Mathematical Society, 1977
This paper contains eight theorems on the rational approximation of \(e^{-x}\) . We cite one of them by way of an example: ''Let \(p(x)\) and \(q(x)\) be any polynomials of degress at most \(n-1\) where \(n\geq 2\). Then we have \[ \left\|e^{-x}-\frac{p(x)}{q(x)}\right\|_{l_{\infty}(N)}\geq\frac{(e-1)^ne^{-4n}2^{-7n}}{n(3+2\sqrt2)^{n-1}}.'', \] (\(N ...
Erdős, Paul, Newman, D. J., Reddy, A. R.   +2 more
openaire   +1 more source

Biased rational chebyshev approximation

BIT, 1982
Chebyshev approximation on an interval [α, β] by ordinary rational functions when positive deviations (errors) are magnified by a bias factor is considered. This problem is related to one-sided Chebyshev approximation for large bias factors. Best approximations are characterized by alternation.
openaire   +2 more sources

An Interpolatory Rational Approximation

Canadian Mathematical Bulletin, 1978
The classical Hermite-Fejér interpolation process is a positive linear mapping from C[-1, 1] into the space of polynomials of degree ≤2n-1. If Tn(x) denotes the Tchebisheff polynomial of degree n and xk = xnk(k = 1,2, …, n) its roots, then for any given f∈ C[-1, 1] the Hermite-Fejér image Hnf of f is defined by1 ...
openaire   +1 more source

Rational approximations to \(\pi\)

1971
Using an IBM 1130 computer, we have generated the first 20, 000 partial quotients in the ordinary continued fraction representation of pie. © 1971 American Mathematical Society.
Choong, K.Y., Daykin, D.E., Rathbone, C.R.   +2 more
openaire   +2 more sources

RATIONAL APPROXIMATION AND PLURIPOLAR SETS

Mathematics of the USSR-Sbornik, 1984
The main result in the article isTheorem. Let be a closed set such that and is a pseudoconvex domain. If for almost every complex line passing through 0 the intersection is polar in , then is a pluripolar set in .This theorem is then applied to the analysis of sets of singularities of holomorphic functions which are rapidly approximated by rational ...
openaire   +2 more sources

RATIONAL APPROXIMATIONS TO ALGEBRAIC NUMBERS

Mathematics of the USSR-Izvestiya, 1971
In this article we derive a new effective estimate of rational approximations to algebraic numbers simultaneously in an Archimedian and several non-Archimedian metrics.
openaire   +2 more sources

On M�ntz rational approximation

Constructive Approximation, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Generalized Rational Approximation

Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, 1964
Cheney, E. W., Loeb, H. L.
openaire   +2 more sources

Practical algorithms for multivariate rational approximation

Computer Physics Communications, 2021
Mohan Krishnamoorthy, Sven Leyffer
exaly  

Rational Approximation

2021
Alexey R. Alimov, Igor’ G. Tsar’kov
openaire   +1 more source