| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4617540 | Journal of Mathematical Analysis and Applications | 2012 | 9 Pages |
Abstract
Motivated by the notion of Lebesgue summability of trigonometric series, we define the Lebesgue summability of trigonometric integrals in terms of the symmetric differentiability of the sum of the formally integrated trigonometric integral in question. We extend two theorems of Zygmund from trigonometric series to integrals, and one of them even in a more general form.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
