It takes the average reader 6 hours and 17 minutes to read Classification and Approximation of Periodic Functions by A.I. Stepanets
Assuming a reading speed of 250 words per minute. Learn more
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.
Classification and Approximation of Periodic Functions by A.I. Stepanets is 373 pages long, and a total of 94,369 words.
This makes it 126% the length of the average book. It also has 115% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 35 minutes to read Classification and Approximation of Periodic Functions aloud.
Classification and Approximation of Periodic Functions is suitable for students ages 12 and up.
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