Approximation of a function by the F(a,q) transform of its Fourier series. (English) Zbl 0655.42003
The author extends the results on the order of approximation of a \(2\pi\)- periodic continuous function by Euler or Taylor means of the sequence of partial sums of its Fourier series to a general class of F(a,q) transforms of which these and other transforms known as Kreisverfahren are special cases.
Reviewer: L.Goras
MSC:
42A10 | Trigonometric approximation |
42A24 | Summability and absolute summability of Fourier and trigonometric series |