Results 1 to 10 of about 280,749 (199)
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 ...
Cristinel Mortici, Branko Malesevic
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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.
Marko Kostic +2 more
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Enhancing curve and surface applications with trigonometric polynomial basis functions [PDF]
PLoS ONEAqsa Rasheed +3 more
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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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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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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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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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High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]
Jisuanji kexue, 2021 As a basic mathematical operation,the high-performance implementation of trigonometric functions is of great significance to the construction of the basic software ecology of the processor.Especially,the current processors have adopted the SIMD ...
YAO Jian-yu, ZHANG Yi-wei, ZHANG Guang-ting, JIA Hai-peng
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