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Titlebook: Classification and Approximation of Periodic Functions; Alexander I. Stepanets Book 1995 Springer Science+Business Media Dordrecht 1995 Fo

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樓主: 祈求
21#
發(fā)表于 2025-3-25 03:35:46 | 只看該作者
22#
發(fā)表于 2025-3-25 11:15:56 | 只看該作者
Best Approximations in the Spaces , and , In these spaces, unlike the spaces ., 1 < . < ∞, in the general case, the approximation by Fourier sums no longer has the order of the best approximation. Moreover, as was already noted, the space . contains functions whose Fourier series diverge.
23#
發(fā)表于 2025-3-25 11:54:29 | 只看該作者
24#
發(fā)表于 2025-3-25 18:06:13 | 只看該作者
Poverty-Alleviation and Social Work in Chinay on a method of constructing operators .(.). This forms a basis of one of the most widely used and efficient approaches to studying the value δ.(x), which is finally reduced to investigating sequences of integral operators.
25#
發(fā)表于 2025-3-25 20:02:21 | 只看該作者
Classes of Periodic Functions,tions, . is a fixed operator acting from . into Φ, Φ. is a set of functions ?∈Φ satisfyingthe condition ., and .is the preimage of Φ. under the mapping .:.(.)=Φ.. Then the set . is called a class of functions . such that .(.) = ? ∈ Φ..
26#
發(fā)表于 2025-3-26 03:22:44 | 只看該作者
27#
發(fā)表于 2025-3-26 05:16:32 | 只看該作者
https://doi.org/10.1007/978-3-662-47830-1ing asymptotic equalities for them, i.e., equalities of the form . where ?. = ?(.;.;X)(a certain function of a natural variable. In some cases, if such an equality is obtained, we say that the Kolmogorov — Nikol’skii problem is solved in a given metric for a given class of functions.
28#
發(fā)表于 2025-3-26 10:11:09 | 只看該作者
Approximations by Fourier Sums in the Spaces , and ,ing asymptotic equalities for them, i.e., equalities of the form . where ?. = ?(.;.;X)(a certain function of a natural variable. In some cases, if such an equality is obtained, we say that the Kolmogorov — Nikol’skii problem is solved in a given metric for a given class of functions.
29#
發(fā)表于 2025-3-26 13:07:50 | 只看該作者
30#
發(fā)表于 2025-3-26 18:28:05 | 只看該作者
The Referents of Musichis reason, can hardly serve a moral or political purpose. This brief discussion is intended to demonstrate just how non-referential music is and why, at the same time, we tend to ascribe more precise reference to it than it, intrinsically, has.
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