Results 11 to 20 of about 31,688 (173)
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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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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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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Piecewise Monotone Approximation of Unbounded Functions In Weighted Space LP,w([-,]) [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2022 In this paper, investigate the approximation of unbounded functions in weighted space, by using trigonometric polynomials considered. We introduced type of polynomials piecewise monotone having same local monotonicity as unbounded functions without ...
Alaa Adnan, Sultan Mehiady
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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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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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Nonperiodic Trigonometric Polynomial Approximation [PDF]
Journal of Scientific Computing, 2013 The suitable basis functions for approximating periodic function are periodic, trigonometric functions. When the function is not periodic, a viable alternative is to consider polynomials as basis functions. In this paper we will point out the inadequacy of polynomial approximation and suggest to switch from powers of $x$ to powers of $\sin(px)$ where ...
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