2017
Том 69
№ 9

All Issues

On the best L2 -approximations of functions by using wavelets

Babenko V. F., Zhiganova G. S.

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Abstract

We obtain the exact Jackson-type inequalities for approximations in L2 (R) of functions fL2 (R) with the use of partial sums of the wavelet series in the case of the Meyer wavelets and the Shannon–Kotelnikov wavelets.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 8, pp 1307-1317.

Citation Example: Babenko V. F., Zhiganova G. S. On the best L2 -approximations of functions by using wavelets // Ukr. Mat. Zh. - 2008. - 60, № 8. - pp. 1119 – 1127.

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