On the best L2 -approximations of functions by using wavelets
We obtain the exact Jackson-type inequalities for approximations in L2 (R) of functions f∈ L2 (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.