Approximation of generalized Poisson integrals by interpolating trigonometric polynomials

DOI10.1007/s11253-023-02248-wzbMath1530.42002arXiv2303.05568OpenAlexW4388994425MaRDI QIDQ6148001

Publication date: 11 January 2024

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.05568

zbMATH Keywords

generalized Poisson integrals interpolating trigonometric polynomials exact upper bounds of pointwise approximations

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric interpolation (42A15) Best approximation, Chebyshev systems (41A50) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

On the best approximation and polynomials of the least quadratic deviation
Inequalities of the ``large sieve type and applications to problems of trigonometric approximation
Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces $L_S$
Approximation of functions of high smoothness by Fourier sums
Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions
Approximation by Fourier sums in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness
Approximation by interpolation trigonometric polynomials in metrics of the space $L_p$ on the classes of periodic entire functions
Uniform approximations by Fourier sums in classes of generalized Poisson integrals
On relationship between classes of $(\Psi, \overline\upbeta)$ -differentiable functions and Gevrey classes
On some new criteria for infinite differentiability of periodic functions
Approximation of classes of convolutions of periodic functions by linear methods constructed on basis of Fourier-Lagrange coefficients
About Lebesgue inequalities on the classes of generalized Poisson integrals
Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals
Uniform approximations by Fourier sums on classes of convolutions with generalized Poisson kernels
Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials
Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness
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