Uniform Approximations by Trigonometric Polynomials (Hardcover, Reprint 2018)

The theory of approximation of functions is one of the central branches in mathematical analysis and has been developed over a number of decades. This monograph deals with a series of problems related to one of the directions of the theory, namely, the approximation of periodic functions by trigonometric polynomials generated by linear methods of summation of Fourier series. More specific, the following linear methods are investigated: classical methods of Fourier, Fejir, Riesz, and Roginski. For these methods the so-called Kolmogorov-Nikol'skii problem is considered, which consists of finding exact and asymptotically exact qualities for the upper bounds of deviations of polynomials generated by given linear methods on given classes of 2?-periodic functions. Much attention is also given to the multidimensional case. The material presented in this monograph did not lose its importance since the publication of the Russian edition (1981). Moreover, new material has been added and several corrections were made. In this field of mathematics numerous deep results were obtained, many important and complicated problems were solved, and new methods were developed, which can be extremely useful for many mathematicians. All principle problems considered in this monograph are given in the final form, i.e. in the form of exact asymptotic equalities, and, therefore, retain their importance and interest for a long time.

General

Imprint:	De Gruyter
Country of origin:	Germany
Release date:	June 2001
First published:	2001
Authors:	Alexander I. Stepanets
Dimensions:	244 x 170 x 27mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	494
Edition:	Reprint 2018
ISBN-13:	978-3-11-046077-3
Categories:	Books > Arts & Architecture > Architecture > Interior design Books > Science & Mathematics > Science: general issues > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	3-11-046077-7
Barcode:	9783110460773

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!