On a trigonometric inequality of Askey and Steinig.

  • Gilbert Helmberg
Keywords: Trigonometric Inequalities, Dirichlet Kernel

Abstract

A short proof is given for the inequality
d n sin

X k
=1 k sin θ/2 < 0 for 0 < θ < π,
supplemented by a discussion of some related results.
Mathematics Subject Classification: 51M16, 42A0, 42A24

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Author Biography

Gilbert Helmberg

Institut f˝ur Mathematik und Geometrie
Universit˝at Innsbruck

Published
2018-08-30
How to Cite
Helmberg, G. (2018). On a trigonometric inequality of Askey and Steinig. GPH - International Journal of Mathematics, 1(1), 20-23. Retrieved from https://gphjournal.org/index.php/m/article/view/92