Results 11 to 20 of about 2,041 (214)
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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On the inequality of different metrics for trigonometric polynomials
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The article is devoted to the research question of inequalities for different metrics with trigonometric polynomials. The structure of this exploring, its main components and types, as well as its classical approaches are presented in this article ...
G.A. Yessenbayeva +2 more
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On osculatory interpolation by trigonometric polynomials
International Journal of Mathematics and Mathematical Sciences, 1979 A short and simple proof is given that osculatory interpolation by trigonometric polynomials is always possible.
D. J. Newman, L. A. Rubel
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On the Study of Trigonometric Polynomials Using Strum Sequence
Journal of Mathematics, 2020 This article constructs trigonometric polynomials of the sine and cosine whose sums are nonnegative. As an application, those nonnegative trigonometric sums are used to study the geometric properties of complex polynomials in the unit disk.
Saiful R. Mondal +2 more
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More on fast decreasing trigonometric polynomials
Researches in MathematicsIn a recent paper, for a fixed $m\in\mathbb N$, we introduced trigonometric polynomials $$ L_n(x):=\frac1{h^m}\underbrace{\int_{-h/2}^{h/2}\dots\int_{-h/2}^{h/2}}_{m\,\text{times}}J_n(x+t_1+\cdots+t_m)\,dt_1\cdots\,dt_m, $$ where $J_n$ is a Jackson ...
D. Leviatan, O.V. Motorna, I.O. Shevchuk
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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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Approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we investigate the best approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces ${\mathcal{M}}_{p(\cdot),\lambda(\cdot)}(I_{0},w)$, where $w$ is a weight function in the Muckenhoupt $A_{p(\cdot)}(I_{0 ...
Z. Cakir +3 more
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Известия Иркутского государственного университета: Серия "Математика", 2020 In this paper we study properties of images of a gaussian measure under trigonometric polynomials of a fixed degree, defined on finite-dimensional space with fixed number of dimensions. We prove that the images of the n-dimensional Gaussian measure under
G. I. Zelenov
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On Turan-type inequalities for trigonometric polynomials of half-integer order
Researches in Mathematics, 2020 Some exact inequalities of the Turan type are obtained in the paper for trigonometric polynomials $h(x)$ of half-interger order $n+\frac {1}{2}$, $n=1, 2, ...$, such that all $2n+1$ their zeros are real and located on a segment $[0;2\pi )$.
O.V. Polyakov
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Maneuvering Spacecraft Orbit Determination Using Polynomial Representation
Aerospace, 2022 This paper proposed a polynomial representation-based method for orbit determination (OD) of spacecraft with the unknown maneuver. Different from the conventional maneuvering OD approaches that rely on specific orbit dynamic equation, the proposed method
Xingyu Zhou, Tong Qin, Linzhi Meng
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