Classification and Approximation of Periodic Functions

Name: Classification and Approximation of Periodic Functions
Brand: Springer Netherlands
SKU: 9780792336037
Price: 105.15 EUR
Availability: InStock

Автор: A.I. Stepanets

Език:

Корици: С твърди корици

Издател: Springer Netherlands

Наличност: Външен склад

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105.15 € 205.65 лв

This monograph proposes a new classification of periodic functions, based on the concept of generali...

Информация за книгата

Автор

A.I. Stepanets

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1995

страници

366

EAN

9780792336037

ISBN

0792336038

Enbook ID

01394836

Издател

Springer Netherlands

Теглоt

712

Размери

160 x 240 x 22

Пълно описание

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.

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Classification and Approximation of Periodic Functions

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