Results 111 to 120 of about 2,105 (196)

Fourier summation with kernels defined by Jacobi polynomials

open access: yes, 1992
Trigonometric polynomial kernels defined by Jacobi polynomials are investigated. They generalize the classical Dirichlet kernel and the Fejér kernel. The asymptotic behavior of the corresponding Fourier summation obtained is leading to optimal kernels.
R. Lasser
core   +1 more source

On Some Trigonometrical Polynomials.

open access: yesMATHEMATICA SCANDINAVICA, 1967
Izumi, Masako, Izumi, Shin-Ichi
openaire   +2 more sources

Positive trigonometric polynomials

open access: yes, 2003
We study the boundary of the nonnegative trigonometric polynomials from the algebraic point of view. In particularly, we show that it is a subset of an irreducible algebraic hypersurface and established its explicit form in terms of resultants.
openaire   +2 more sources

On Algorithms for Planning S-curve Motion Profiles

open access: yesInternational Journal of Advanced Robotic Systems, 2008
Although numerous researches on s-curve motion profiles have been carried out, up to date, no systematic investigation on the general model of polynomial s-curve motion profiles is considered.
Kim Doang Nguyen   +2 more
doaj  

The trigonometric polynomial on sums of two squares, an additive problem and generalisation

open access: yes
International audienceLet $\mathfrak{B}$ be the set of odd integers that are sums of two coprime squares. We prove that the trigonometric polynomial $S(\alpha;N)=\sum_{b\in\Bfrak,b\le N}e(b\alpha)$ satisfies \begin{equation*} \frac{S(\alpha; N)}{N ...
Viswanadham, G.K., Ramaré, Olivier
core  

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