On strong approximation of functions of one and two variables by certain operators
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] pracownik
2005
artykuł naukowy
angielski
- linear operator
- polynomial weighted space
- strong approximation
EN We investigate certain class of linear operators in polynomial weighted spaces of differentiable functions of one and two variables. We introduce strong differences of functions and operators and we give approximation theorems for them. The present theorems show that strong approximation is more general than normal approximation. Section I is devoted strong approximation of functions of one variable and Section II of functions of two variables. This note is motivated by resultus on strong approximation connected with Fourier series ([5], [8]).
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