Horst Alzer

activity

20142024

most citedSturm Theorem and a Refinement of Vietoris Inequality for Cosine Polynomials

6 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2024

Inequalities for 1/(1-cos(x)) and its derivatives

Horst Alzer, Henrik L. Pedersen

We prove that the function $g (x) = 1/ (1 - cos (x))$ is completely monotonic on $(0, π]$ and absolutely monotonic on $[π, 2 π)$ , and we determine the best possible bounds…

math.CA2016

On a Sine Polynomial of Turan

Horst Alzer, Man Kam Kwong

In 1935, P. Turán proved that $S_{n, a} (x) = j = 1 \sum n (n - j n + a - j) sin (j x) > 0 (n, a \in N; 0 < x < π) .$ We present various related inequalities. Among others, w…

math.CA2014★ 6 cited

Sturm Theorem and a Refinement of Vietoris Inequality for Cosine Polynomials

Horst Alzer, Man Kam Kwong

In a recent work, the authors established a refinement of the well-known 1958 result of Vietoris on nonnegative cosine polynomials. In four places of the proof, use was made of the…