Article contents
Pointwise Convergence of Trigonometric Series
Published online by Cambridge University Press: 09 April 2009
Extract
We establish two results in the pointwise convergence problem of a trigonometric series for some nonnegative integer m. These results not only generalize Hardy's theorem, the Jordan test theorem and Fatou's theorem, but also complement the results on pointwise convergence of those Fourier series associated with known L1-convergence classes. A similar result is also established for the case that , where {ln} satisfies certain conditions.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 43 , Issue 3 , December 1987 , pp. 291 - 300
- Copyright
- Copyright © Australian Mathematical Society 1987
References
- 4
- Cited by