Back to Search
Start Over
A Note on Derivative of Sine Series with Square Root.
- Source :
-
Abstract & Applied Analysis . 11/8/2021, p1-9. 9p. - Publication Year :
- 2021
-
Abstract
- Chaundy and Jolliffe proved that if a n is a nonnegative, nonincreasing real sequence, then series ∑ a n sin n x converges uniformly if and only if n a n ⟶ 0. The purpose of this paper is to show that if n a n is nonincreasing and n a n ⟶ 0 , then the series f x = ∑ a n sin n x can be differentiated term-by-term on c , d for c , d > 0. However, f ′ 0 may not exist. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 153458519
- Full Text :
- https://doi.org/10.1155/2021/7035776