Results 1 to 10 of about 2,352 (209)
On trigonometric approximation of functions in the Lq norm
Demonstratio Mathematica, 2018 In this paper we obtain a degree of approximation of functions in Lq by operators associated with their Fourier series using integral modulus of continuity. These results generalize many known results and are proved under less stringent conditions on the
Mohapatra Ram N., Szal Bogdan
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Approximation on the regular hexagon
Journal of Numerical Analysis and Approximation Theory, 2020 The degree of trigonometric approximation of continuous functions, which are periodic with respect to the hexagon lattice, is estimated in uniform and Hölder norms.
Ali Guven
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A Levinson--Galerkin Algorithm for Regularized Trigonometric Approximation [PDF]
SIAM Journal of Scientific Computing, 2000 Trigonometric polynomials are widely used for the approximation of a smooth function $f$ from a set of nonuniformly spaced samples $\{f(x_j)\}_{j=0}^{N-1}$. If the samples are perturbed by noise, controlling the smoothness of the trigonometric approximation becomes an essential issue to avoid overfitting and underfitting of the data.
Thomas Strohmer
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On approximation of continuous functions by trigonometric polynomials
Journal of Approximation Theory, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vladimir Andrievskii, Hans-Peter Blatt
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On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva +3 more
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High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]
Jisuanji kexue, 2021 As a basic mathematical operation,the high-performance implementation of trigonometric functions is of great significance to the construction of the basic software ecology of the processor.Especially,the current processors have adopted the SIMD ...
YAO Jian-yu, ZHANG Yi-wei, ZHANG Guang-ting, JIA Hai-peng
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Karpatsʹkì Matematičnì Publìkacìï, 2023 Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
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Approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we investigate the best approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces ${\mathcal{M}}_{p(\cdot),\lambda(\cdot)}(I_{0},w)$, where $w$ is a weight function in the Muckenhoupt $A_{p(\cdot)}(I_{0 ...
Z. Cakir +3 more
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Trigonometric polynomial approximation in theL 1-norm
Mathematische Zeitschrift, 1979 Franz Peherstorfer, Peherstorfer Franz
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Nonlinear Approximation by Trigonometric Sums [PDF]
Journal of Fourier Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DeVore, R.A., Temlyakov, V.N.
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