2019
Том 71
№ 11

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Refined estimates for the ε-entropy of the classes $KH_0^α$

Tyrygin I. Ya.

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Abstract

By the methods of differential pulse-code modulation and “generalized” polygonal lines, we obtain almost exact estimates for the ɛ-entropy of classes simulating signals of various types. The complexity of coding and reconstruction of functions from the classes under consideration is investigated. We present a numerical solution of the problem of minimization of constants in the order-of-magnitude inequality for the ɛ-entropy of the classes $KH_0^α$.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 6, pp 827-831.

Citation Example: Tyrygin I. Ya. Refined estimates for the ε-entropy of the classes $KH_0^α$ // Ukr. Mat. Zh. - 1994. - 46, № 6. - pp. 760–764.

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