Approximation of the -integrals of functions defined on the real axis by fourier operators

Springer Science and Business Media LLC - Tập 56 - Trang 1144-1150 - 2004
O. I. Stepanets’1, I. V. Sokolenko1
1Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv

Tóm tắt

We find asymptotic formulas for the least upper bounds of the deviations of Fourier operators on classes of functions locally summable on the entire real axis and defined by -integrals. On these classes, we also obtain asymptotic equalities for the upper bounds of functionals that characterize the simultaneous approximation of several functions.

Tài liệu tham khảo

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