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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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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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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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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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When Is a Trigonometric Polynomial Not a Trigonometric Polynomial? [PDF]
The American Mathematical Monthly, 2012 3 ...
Joseph E. Borzellino, Morgan Sherman
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Enhancing curve and surface applications with trigonometric polynomial basis functions [PDF]
PLoS ONEAqsa Rasheed +3 more
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Trigonometric words ranking model for spam message classification
IET Networks, EarlyView., 2022 Abstract The significant increase in the volume of fake (spam) messages has led to an urgent need to develop and implement a robust anti‐spam method. Several of the current anti‐spam systems depend mainly on the word order of the message in determining the spam message, which results in the system's inability to predict the correct type of message when
Suha Mohammed Hadi +7 more
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Open Mathematics, 2021 Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
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Proposing a New Theorem to Determine If an Algebraic Polynomial Is Nonnegative in an Interval
Mathematics, 2021 We face the problem to determine whether an algebraic polynomial is nonnegative in an interval the Yau Number Theoretic Conjecture and Yau Geometric Conjecture is proved.
Ke-Pao Lin +3 more
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Algorithms for trigonometric polynomials [PDF]
Proceedings of the 2001 international symposium on Symbolic and algebraic computation, 2001 In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonometric polynomials, that is, polynomials in sin(x) and cos(x).
Jamie Mulholland, Michael B. Monagan
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