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Fourteen Papers on Series and Approximation
About this Title
L. A. Balašov, V. I. Berdyšev, R. Bojanić, I. I. Cyganok, A. V. Efimov, M. A. Jastrebova, P. I. Lizorkin, R. I. Osipov, Ju. K. Suetin, S. A. Teljakovskiĭ, M. F. Timan, M. Tomić, G. C. Tumarkin and I. M. Vinogradov
Publication: American Mathematical Society Translations: Series 2
Publication Year:
1968; Volume 77
ISBNs: 978-0-8218-1777-3 (print); 978-1-4704-3288-1 (online)
DOI: https://doi.org/10.1090/trans2/077
Table of Contents
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Front/Back Matter
Articles
- L. A. Balašov – Series with gaps
- R. I. Osipov – On the representation of functions by orthogonal series
- R. and Tomić Bojanić, M. – On the absolute convergence of Fourier series with small gaps
- P. I. Lizorkin – Estimates for trigonometric integrals and the Bernšteĭn inequality for fractional derivatives
- I. M. Vinogradov – Estimation of trigonometric sums
- Ju. K. Suetin – Convergence and uniqueness constants for certain interpolation problems
- V. I. Berdyšev – Mean approximation of periodic functions by Fourier series
- M. F. Timan – The best approximation of a function and linear methods for the summation of Fourier series
- M. A. Jastrebova – On the approximation of functions satisfying a Lipschitz condition by the arithmetic means of their Walsh-Fourier series
- S. A. Teljakovskiĭ – Two theorems on the approximation of functions by algebraic polynomials
- I. I. Cyganok – A generalization of Jackson’s theorem
- G. C. Tumarkin – Approximation with respect to various metrics of functions defined on the unit circle by sequences of rational fractions with fixed poles
- G. C. Tumarkin – Necessary and sufficient conditions for the possibility of approximating a function on a circumference by rational fractions, expressed in terms directly connected with the distribution of poles of the approximating fractions
- A. V. Efimov – On best approximations of classes of periodic functions by means of trigonometric polynomials