Results 1 to 10 of about 517,990 (210)
The Trigonometric Polynomial Like Bernstein Polynomial [PDF]
The Scientific World Journal, 2014 A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed.
Xuli Han
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When is a trigonometric polynomial not a trigonometric polynomial? [PDF]
The American Mathematical Monthly, 2011 As an application of B\'ezout's theorem from algebraic geometry, we show that the standard notion of a trigonometric polynomial does not agree with a more naive, but reasonable notion of trigonometric polynomial.Comment: 3 ...
Borzellino, Joseph E., Sherman, Morgan
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The natural algorithmic approach of mixed trigonometric-polynomial problems [PDF]
Journal of Inequalities and Applications, 2017 The aim of this paper is to present a new algorithm for proving mixed trigonometric-polynomial inequalities of the form ∑ i = 1 n α i x p i cos q i x sin r i x > 0 $$\sum_{i=1}^{n}\alpha _{i}x^{p_{i}} \cos ^{q_{i}} x\sin ^{r_{i}} x>0 $$ by reducing them ...
Tatjana Lutovac +2 more
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Trigonometric Polynomial Solutions of Bernoulli Trigonometric Polynomial Differential Equations
Mathematics, 2022 We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being trigonometric polynomials of degree at most μ≥1 in variables θ and Bn(θ)≢0.
Claudia Valls
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Polynomial-Exponential Bounds for Some Trigonometric and Hyperbolic Functions
Axioms, 2021 Recent advances in mathematical inequalities suggest that bounds of polynomial-exponential-type are appropriate for evaluating key trigonometric functions.
Yogesh J. Bagul +3 more
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Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization [PDF]
Optimization Letters, 2018 We extend the notion of Dubiner distance from algebraic to trigonometric polynomials on subintervals of the period, and we obtain its explicit form by the Szego variant of Videnskii inequality.
Vianello, Marco
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Palindromic random trigonometric polynomials [PDF]
Proceedings of the American Mathematical Society, 2008 We show that if a real trigonometric polynomial has few real roots, then the trigonometric polynomial obtained by writing the coefficients in reverse order must have many real roots.
Conrey, J. Brian +2 more
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Piecewise quadratic trigonometric polynomial curves [PDF]
Mathematics of Computation, 2003 Summary: Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented. The quadratic trigonometric polynomial curve has \(C^2\) continuity, while the quadratic B-spline curve has \(C^1\) continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B ...
Xuli Han
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Electronic Journal of Differential Equations, 2017 Let $A(\theta)$ non-constant and $B_j(\theta)$ for $j=0,1,2,3$ be real trigonometric polynomials of degree at most $\eta \ge 1$ in the variable x. Then the real equivariant trigonometric polynomial Abel differential equations $A(\theta) y' =B_1(\theta)
Claudia Valls
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Lasso trigonometric polynomial approximation for periodic function recovery in equidistant points [PDF]
Applied Numerical Mathematics, 2022 In this paper, we propose a fully discrete soft thresholding trigonometric polynomial approximation on $[-\pi,\pi],$ named Lasso trigonometric interpolation.
Congpei An, Mou Cai
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