**American Mathematical Society Translations - Series 2**

1968;
266 pp;
Hardcover

MSC: Primary 40;

**Print ISBN: 978-0-8218-1777-3
Product Code: TRANS2/77**

List Price: $67.00

AMS Member Price: $53.60

MAA Member Price: $60.30

**Electronic ISBN: 978-1-4704-3288-1
Product Code: TRANS2/77.E**

List Price: $63.00

AMS Member Price: $50.40

MAA Member Price: $56.70

# Fourteen Papers on Series and Approximation

Share this page
*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; I. M. Vinogradov*

# Table of Contents

## Fourteen Papers on Series and Approximation

- Cover Cover11
- Title page i2
- Copyright page ii3
- Contents iii4
- Series with gaps 16
- On the representation of functions by orthogonal series 1722
- On the absolute convergence of Fourier series with small gaps 3136
- Estimates for trigonometric integrals and the Bernšteĭn inequality for fractional derivatives 4550
- Estimation of trigonometric sums 6368
- Convergence and uniqueness constants for certain interpolation problems 7782
- Mean approximation of periodic functions by Fourier series 101106
- The best approximation of a function and linear methods for the summation of Fourier series 127132
- On the approximation of functions satisfying a Lipschitz condition by the arithmetic means of their Walsh-Fourier series 149154
- Two theorems on the approximation of functions by algebraic polynomials 163168
- A generalization of Jackson’s theorem 179184
- Approximation with respect to various metrics of functions defined on the unit circle by sequences of rational fractions with fixed poles 183188
- 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 235240
- On best approximations of classes of periodic functions by means of trigonometric polynomials 249254
- Back Cover Back Cover1272