Results 171 to 180 of about 2,352 (209)

Trigonometric approximation of functions in $$L_1$$-norm

Periodica Mathematica Hungarica, 2021
The \(L_1\)-approximation of the functions \(f \in {\operatorname{Lip}}(\alpha,1 ...
Prem Chandra, Varsha Karanjgaokar
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Monotone Trigonometric Approximation

Mediterranean Journal of Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leviatan, D., Sidon, J.
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An Interpolatory Rational Trigonometric Approximation

SIAM Journal on Numerical Analysis, 1981
In this paper we introduce a sequence of positive linear, interpolating operators $\Lambda _n (n = 1,2, \cdots )$, which map $c_{2\pi } $ (class of continuous ${2\pi }$-periodic functions) into the set of rational trigonometric functions of order $ \leqq 2n - 2$. Moreover, they satisfy \[ \left| {f(x) - \Lambda _n (f,x)} \right| \leqq 2\omega _f \left(
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Approximation of trigonometric functions by trigonometric polynomials with interpolation

Journal of Contemporary Mathematical Analysis, 2010
The paper studies the approximation order of periodic functions by trigonometric polynomials with interpolation in arbitrary set of nodes. A method of construction of Hermite interpolation polynomials is pointed out.
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Approximation by local trigonometric splines

Mathematical Notes, 2005
Let \(W_\alpha\), \(\alpha>0\), be the class of 1-periodic functions \(f: {\mathbb R} \to {\mathbb R}\) having a locally absolutely continuous derivative \(f'\) for which \(\| f''+\alpha^2 f \| _{L_\infty [0,1]} \leq 1\). The authors consider approximation of \(W_\alpha\) by the space of 1-periodic trigonometric splines representable on each interval \(
Kostousov, K. V., Shevaldin, V. T.
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Monotone approximation of functions by trigonometric polynomials

Mathematical Notes of the Academy of Sciences of the USSR, 1983
Translation from Mat. Zametki 34, No.3, 375-386 (Russian) (1983; Zbl 0529.42002).
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CONSTRUCTIVE ESTIMATION OF APPROXIMATION FOR TRIGONOMETRIC NEURAL NETWORKS

International Journal of Wavelets, Multiresolution and Information Processing, 2012
For the three-layer artificial neural networks with trigonometric weights coefficients, the upper bound and lower bound of approximating 2π-periodic pth-order Lebesgue integrable functions [Formula: see text] are obtained in this paper. Theorems we obtained provide explicit equational representations of these approximating networks, the specification ...
Jianjun Wang 0003, Weihua Xu 0003, Bin Zou 0002   +2 more
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Some inequalities in trigonometric approximation

Bulletin of the Australian Mathematical Society, 1973
For a nonconstant L2 (−π, π) function f, we prove that and that the inequalities are sharp.
Ching, Chin-Hung, Chui, Charles K.
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Approximation by Trigonometric Polynomials in Weighted Morrey Spaces

Moscow Mathematical Journal
Some trigonometric polynomial approximation problems are studied in the weighted Morrey spaces. Direct and inverse approximation theorems in terms of the fractional moduli of smoothness are obtained. Some Lipschitz subclasses of weighted Morrey spaces are defined, and their constructive characterizations are given.
Testici, Ahmet, İsrafilov, Daniyal M.
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Simultaneous Trigonometric Approximation

Journal of Mathematics and Physics, 1952
Steinberg, R., Redheffer, R. M.
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