Some Generalized Besov-Type Space Bϕp([0,1];H) with the Haar Basis
Smailov E.S.
November 2022Pleiades Publishing
Siberian Mathematical Journal
2022#63Issue 61140 - 1152 pp.
We introduce the generalized Besov-type space (Formula presented.) over the Haar basis.We give the two-sided estimate for the norm of functions of thespace in terms of their Fourier–Haar coefficients.Also, we establish a criterion for the embedding (Formula presented.) and some two-sided estimate for the approximation of (Formula presented.) and (Formula presented.).
517.521.2 , approximation , Besov space , best approximation , embedding theorem , Fourier–Haar coefficients , Fourier–Haar series
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling
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