Approximation on the regular hexagon
Journal of Numerical Analysis and Approximation Theory, 2020 The degree of trigonometric approximation of continuous functions, which are periodic with respect to the hexagon lattice, is estimated in uniform and Hölder norms.
Ali Guven
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Bernstein-Nikol'skii-type inequalities for trigonometric polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2022 We obtain order estimates for Bernstein-Nikol’skii-type inequalities for trigonometric polynomials with an arbitrary choice of harmonics. It is established that in the case $ q = \infty $, $ 1
H.M. Vlasyk +3 more
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On Distributions of Trigonometric Polynomials in Gaussian Random Variables
Известия Иркутского государственного университета: Серия "Математика", 2021 We prove new results about the inclusion of distributions of trigonometric polynomials in Gaussian random variables to Nikolskii--Besov classes. In addition, we estimate the total variance distances between distributions of trigonometric polynomials via ...
G.I. Zelenov
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When Is a Trigonometric Polynomial Not a Trigonometric Polynomial? [PDF]
The American Mathematical Monthly, 2012 3 ...
Borzellino, Joseph E., Sherman, Morgan
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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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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
wiley +1 more source
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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On the function approximation by trigonometric polynomials and the properties of families of function classes over harmonic intervals [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The article is devoted to research on approximation theory. When approximating functions by trigonometric polynomials, the spectrum is chosen from various sets. In this paper, the spectrum consists of harmonic intervals.
G.A. Yessenbayeva +3 more
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BERNSTEIN-TYPE ESTIMATES FOR THE DERIVATIVES OF TRIGONOMETRIC POLYNOMIALS
Проблемы анализа, 2021 Using the method of amplitude and phase transformations, we obtain sharp inequalities for the derivatives of real-valued trigonometric polynomials. The inequalities are sharp, as there are the corresponding extremal polynomials, for which they become ...
V. I. Danchenko, D. G. Chkalova
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