A Note on Derivative of Sine Series with Square Root

Chaundy and Jolliffe proved that if an is a nonnegative, nonincreasing real sequence, then series ∑ansinnx converges uniformly if and only if nan⟶0. The purpose of this paper is to show that if nan is nonincreasing and nan⟶0, then the series fx=∑ansinnx can be differentiated term-by-term on c,d for...

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Bibliographic Details
Main Author: Sergiusz Kęska
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2021/7035776