Open AccessOn the best $L_2$-approximations of multivariable functions by means of splines
Author(s) -
В. Ф. Бабенко,
G. S. Zhiganova
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/240701
Subject(s) - approximations of π , wavelet , mathematics , series (stratigraphy) , multivariable calculus , type (biology) , pure mathematics , computer science , artificial intelligence , engineering , paleontology , ecology , control engineering , biology
We obtain sharp inequalities of Jackson type for the best approximations of functions in $L_2(\mathbb{R}^m)$ by means of partial sums of wavelet series in case of multidimensional analogues of Shannon-Kotelnikov wavelets.