Uniform Approximations by Trigonometric Polynomials - Couverture rigide

Stepanets, Alexander I.

Couverture rigide

ISBN 10 : 9067643475 ISBN 13 : 9789067643474

Editeur : VSP International Science Publishers, 2001

Synopsis

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.

Détails de l'édition

• Éditeur: VSP International Science Publishers
• Date d'édition: 2001
• Langue: anglais
• ISBN 10: 9067643475
• ISBN 13: 9789067643474
• Reliure: Relié
• Nombre de pages: 495
• Coordonnées du fabricant: non disponible
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