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

Stepanets, A.I.

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.

Details zur Ausgabe

• 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