Articles with "inequalities trigonometric" as a keyword



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Inequalities for trigonometric sums and applications

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Published in 2019 at "Aequationes mathematicae"

DOI: 10.1007/s00010-019-00657-6

Abstract: We present various new inequalities for cosine and sine sums. Among others, we prove that 0.1 $$\begin{aligned} 0\le \sum _{k=0}^n \frac{ (a)_{2k}}{(2k)!} \frac{\cos ((2k+1)x)}{2k+1} \quad {(a\in \mathbb {R})} \end{aligned}$$ 0 ≤ ∑ k = 0… read more here.

Keywords: trigonometric sums; sums applications; inequalities trigonometric; frac ... See more keywords