Results 261 to 270 of about 166,067,780 (284)

Weighted Polynomial Approximation of Analytic Functions

Journal of the London Mathematical Society, 1988
For a Borel measure \(d\mu\) on [-1,1] let \(E_ n(f)_{L_ p(d\mu)}\) denote the best approximation of f by polynomials of degree at most n in the space \(L_ p(d\mu)\). Necessary and sufficient condition is given on \(d\mu\) such that the geometric decrease of \(E_ n(f)_{L_ p}(d\mu)\) and the analyticity of f (d\(\mu\)-a.e.) are equivalent.
Saff, E. B., Totik, V.
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An Analytic Function Which is an Approximate Characteristic Function

SIAM Journal on Numerical Analysis, 1975
An analytic function $\chi (z)$ is constructed, where $\chi (x)$ closely approximates (in the sense of $L^p ( - \infty ,\infty )$, $1 \leqq p \leqq \infty $) the characteristic function $\chi ^ * (x)$ of the interval $( - 1,1)$. The poles of $\chi (z)$, the residues at the poles of $\chi (z)$, and the explicit discrepancy between $\chi (x)$ and $\chi ^
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On approximation of integrals of analytic functions

1992
The authors obtain a five points numerical rule to approximate an integral of analytic functions in a disk along a real segment contained in this disk. The five points in question are verticies and the centre of a rhombus. This rule generalizes the rules which use vertices and the centre of squares contained in the disk of analyticity and allows to ...
Acharya, B. P., Mohapatra, T.
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Approximation by fourier sums and best approximations on classes of analytic functions

Ukrainian Mathematical Journal, 2000
Summary: We establish asymptotic equalities for upper bounds of approximations by Fourier sums and for the best approximations in the metrics \(C\) and \(L_1\) on classes of convolutions of periodic functions which can be regularly extended into a fixed strip of the complex plane.
Stepanets, A. I., Serdyuk, A. S.
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On Location and Approximation of Clusters of Zeros of Analytic Functions

Foundations of Computational Mathematics, 2005
At the beginning of the 1980s, M. Shub and S. Smale developed a quantitative analysis of Newton's method for multivariate analytic maps. In particular, their α-theory gives an effective criterion that ensures safe convergence to a simple isolated zero.
Giusti, Marc, Lecerf, Grégoire, Salvy, Bruno, Yakoubsohn, Jean-Claude   +3 more
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ANALYTICAL APPROXIMATIONS OF THERMODYNAMIC FUNCTIONS OF AIR

AIAA Journal, 1963
with an adiabatic exponent 7 = 1.308. This value of 7 corresponds to the value v = 0.25 used in our calculations. It is clear from the graphs that the accuracy of expressions (9) and (10) falls with increase in pressure. This is due, on the one hand, to the increase in the nitric oxide content of the air, and, on the other, to a displacement of the ...
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Approximation of analytic functions by Legendre functions

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Parametric approximation of piecewise analytic functions

1977
[Popov Vasil A.; Popov V.; Popov Vassil A.; Попов Васил А.]; [Iliev Georgi L.; Илиев Георги Л.]
Popov, Vasil A., Iliev, Georgi L.
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Uniform and tangential approximations by analytic functions

1984
Translation from Izv. Akad. Nauk Arm. SSR, Mat. 3, 273-286 (Russian) (1968; Zbl 0175.076).
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Approximation of Derivatives of Analytic Functions from One Hardy Class by Another Hardy Class

Proceedings of the Steklov Institute of Mathematics, 2020
R R Akopyan
exaly