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A further note on trigonometrical inequalities

Published online by Cambridge University Press:  24 October 2008

A. E. Ingham
A. E. Ingham
Affiliation:
King's CollegeCambridge
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Extract

1. The aim of this note is to prove the

Theorem. Let

where the λnare real and

and let

Then

A similar result holds for infinite seriesconverging uniformly in [−T, T].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 46 , Issue 4 , October 1950 , pp. 535 - 537
Copyright
Copyright © Cambridge Philosophical Society 1950

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References

REFERENCE

(1)Ingham, A. E.Some trigonometrical inequalities with applications to the theory of series. Math. Z. 41 (1936), 367–79.CrossRefGoogle Scholar