Classification and Approximation of Periodic Functions
Alexander I. Stepanets (auth.)
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.
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.
Kategori:
Tahun:
1995
Edisi:
1
Penerbit:
Springer Netherlands
Bahasa:
english
Halaman:
366
ISBN 10:
9401040559
ISBN 13:
9789401040556
Nama siri:
Mathematics and Its Applications 333
Fail:
DJVU, 2.16 MB
IPFS:
,
english, 1995