Results 171 to 180 of about 280,749 (199)

Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in L 0

Ukrainian Mathematical Journal, 2009
Summary: We study inequalities of the Turán type for trigonometric polynomials and conjugate trigonometric polynomials in the quasi-norm of \(L_0\) and derivatives of any order. We present expressions for constants in these inequalities and obtain double-sided estimates for them.
openaire   +2 more sources

Turan's Inequalities for Trigonometric Polynomials

Journal of the London Mathematical Society, 1996
We present a technique for establishing inequalities of the form \[ c |f |_\infty \leq \int^{2 \pi}_0 \varphi \biggl (\bigl |f^{(k)} (t) \bigr |\biggr) dt \leq M |f |_\infty \] in the set of all trigonometric polynomials of order \(n\) which have only real zeros. The function \(\varphi\) is assumed to be convex and increasing on \([0, \infty)\).
openaire   +1 more source

Random Sampling of Multivariate Trigonometric Polynomials

SIAM Journal on Mathematical Analysis, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gröchenig, Karlheinz, Bass, Richard
openaire   +4 more sources

Trigonometric polynomials with simple roots

Information Processing Letters, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Polynomials, Rational Functions and Trigonometric Polynomials

2004
In this chapter we want to illustrate the relevance of complex numbers in some elementary situations. After a brief discussion of the algebra of polynomials in Section 5.1, we prove the fundamental theorem of algebra and discuss solutions by radicals of algebraic equations in Section 5.2.
Mariano Giaquinta, Giuseppe Modica
openaire   +1 more source

On a sequence of trigonometric polynomials

Mathematical Notes, 1997
The following theorem is proved. There exist an absolute constant \(A\) and a sequence of trigonometric polynomials \[ S_n(t):= \sum^n_{k=1} \delta_k(t),\quad n= 1,2,\dots, \] where the \[ \delta_k(t): \sum_{2^k\leq| j|< 2^{k+1}} c_je^{ijt} \] are such that \[ \pi/4\leq\| \delta_k\|_1,\quad \|\delta_k\|_\infty\leq 6,\quad k= 1,2,\dots, n, \] and ...
openaire   +1 more source

Modelling of the refraction in trigonometric levelling using polynomial transition curves

Measurement: Journal of the International Measurement Confederation, 2021
Andrzej Kobryn
exaly  

Extremum Problems for Polynomials and Trigonometrical Polynomials

Journal of the London Mathematical Society, 1954
openaire   +1 more source

Cubic trigonometric polynomial curves with a shape parameter

Computer Aided Geometric Design, 2004
Xuli Han
exaly  

Trigonometric Polynomials

2018
Dinh Dũng, Vladimir Temlyakov, Tino Ullrich   +2 more
openaire   +1 more source