Absolute harmonic summability of a factored Fourier series. (English) Zbl 0965.42003
The authors obtain a theorem on absolute harmonic summability factors for Fourier series.
The paper contains a number of misprints and errors. Thus, for example, on page 221, line 3, they claim that \(\sum^n_{k=m+1} {1\over n-k+1}= O(1)\), where \(m= [{n\over 2}]\). Obviously, this is false.
The paper contains a number of misprints and errors. Thus, for example, on page 221, line 3, they claim that \(\sum^n_{k=m+1} {1\over n-k+1}= O(1)\), where \(m= [{n\over 2}]\). Obviously, this is false.
Reviewer: S.M.Mazhar (Kuwait)
MSC:
| 42A24 | Summability and absolute summability of Fourier and trigonometric series |
| 42A45 | Multipliers in one variable harmonic analysis |
