Classification and Approximation of Periodic Functions (Mathematics and Its Applications, Band 333) - Softcover

Stepanets, A.I.

 
9789401040556: Classification and Approximation of Periodic Functions (Mathematics and Its Applications, Band 333)
Softcover
ISBN 10: 9401040559 ISBN 13: 9789401040556
Verlag: Springer, 2012

Inhaltsangabe

This monograph proposes a new classification of periodic functions, based on the concept of generalized derivative, defined by introducing multiplicators and shifts of the argument into the Fourier series of the original function. This approach permits the classification of a wide range of functions, including those of which the Fourier series may diverge in integral metric, smooth functions, and infinitely differentiable functions, including analytical and entire ones. These newly introduced classes are then investigated using the traditional problems of the theory of approximation. The results thus obtained offer a new way to look at classical statements for the approximation of differentiable functions, and suggest possibilities to discover new effects.
Audience: valuable reading for experts in the field of mathematical analysis and researchers and graduate students interested in the applications of the theory of approximation and Fourier series.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
9401040559
ISBN 13 
9789401040556
Einband
Taschenbuch
Anzahl der Seiten
380
Kontakt zum Hersteller
Dt. Universitätsverlag
buchhandel-buch@springer.com

Abraham-Lincoln-Str. 46
Wiesbaden
65198
Deutschland

Weitere beliebte Ausgaben desselben Titels

9780792336037: Classification and Approximation of Periodic Functions (Mathematics and Its Applications, 333, Band 333)

Vorgestellte Ausgabe

ISBN 10:  0792336038 ISBN 13:  9780792336037
Verlag: Springer, 1995
Hardcover