Том 71
№ 7

All Issues

Zhiganova G. S.

Articles: 1
Brief Communications (Russian)

On the best L2 -approximations of functions by using wavelets

Babenko V. F., Zhiganova G. S.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2008. - 60, № 8. - pp. 1119 – 1127

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.