Approximation by fourier sums and best approximations on classes of analytic functions
Copyright policy )Approximation by fourier sums and best approximations on classes of analytic functions
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.
asymptotic equalities, Convolution, factorization for one variable harmonic analysis, convolutions, Trigonometric approximation, Trigonometric polynomials, inequalities, extremal problems, Convergence and absolute convergence of Fourier and trigonometric series, Fourier approximation, upper bound, Fourier sums, Approximation in the complex plane, Best approximation, Chebyshev systems, uniform metric, integral metric, Kolmogorov-Nikol'skij problem, approximation, best approximation
asymptotic equalities, Convolution, factorization for one variable harmonic analysis, convolutions, Trigonometric approximation, Trigonometric polynomials, inequalities, extremal problems, Convergence and absolute convergence of Fourier and trigonometric series, Fourier approximation, upper bound, Fourier sums, Approximation in the complex plane, Best approximation, Chebyshev systems, uniform metric, integral metric, Kolmogorov-Nikol'skij problem, approximation, best approximation
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