FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 2, PAGES 455-469

On estimates for the modules of the smoothness of the functions with transformed Fourier series

M.K.Potapov
B.V.Simonov

In this article the functions are considered which have generalized derivative in Weyl's sense. The lower and upper estimates for the modules of smoothness of these derivatives are expressed in terms of the modules of smoothness of the function itself.

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Location: http://mech.math.msu.su/~fpm/eng/95/952/95208.htm
Last modified: October 3, 1997.