Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-26T08:36:55.951Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCE

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