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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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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.
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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.
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Classes of Periodic Functions,tions, . is a fixed operator acting from . into Φ, Φ. is a set of functions ϕ∈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 ∈ Φ..
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https://doi.org/10.1007/978-3-662-47830-1ing asymptotic equalities for them, i.e., equalities of the form . where ϕ. = ϕ(.;.;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.
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Approximations by Fourier Sums in the Spaces , and ,ing asymptotic equalities for them, i.e., equalities of the form . where ϕ. = ϕ(.;.;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.
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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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