A Note on Derivative of Sine Series with Square Root

Sergiusz Kęska

Abstract and Applied Analysis, 2021, vol. 2021, 1-9

Abstract:

Chaundy and Jolliffe proved that if is a nonnegative, nonincreasing real sequence, then series converges uniformly if and only if . The purpose of this paper is to show that if is nonincreasing and , then the series can be differentiated term-by-term on for . However, may not exist.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:7035776

DOI: 10.1155/2021/7035776

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