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A note on the modulus of continuity of a periodic function

✍ Scribed by M. Allame; B. Vatankhahan

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 175 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.10.017

No coin nor oath required. For personal study only.

✦ Synopsis

Let f (x) be a periodic function with period T . In Rivlin (1969) [1] it is claimed that the modulus of continuity is independent of a on [a, a + T ]. In this note we show that this is not correct.

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