Polynomial and trigonometric splines
CoRR, 2021 Classes of simple polynomial and simple trigonometric splines given by Fourier series are considered. It is shown that the class of simple trigonometric splines includes the class of simple polynomial splines. For some parameter values, the polynomial splines coincide with the trigonometric ones; this allows to transfer to such trigonometric splines ...
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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 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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Rearrangements of Trigonometric Series and Trigonometric Polynomials [PDF]
Real Analysis Exchange, 2004 The paper is related to the following question of P.~L.~Ul'yanov: is it true that for any $2π$-periodic continuous function $f$ there is a uniformly convergent rearrangement of its trigonometric Fourier series? In particular, we give an affirmative answer if the absolute values of Fourier coefficients of $f$ decrease.
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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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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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SQUARE–FREE FACTORIZATION OF MIXED TRIGONOMETRIC–POLYNOMIALS
, 2023 This paper proposes a procedure to square-free factorization of mixed trigonometric-polynomials and some examples are presented to show the effectiveness of the algorithm.
Xinyu, Ge; id_orcid, Shiping, Chen
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A Parametric Kind of the Degenerate Fubini Numbers and Polynomials
Mathematics, 2020 In this article, we introduce the parametric kinds of degenerate type Fubini polynomials and numbers. We derive recurrence relations, identities and summation formulas of these polynomials with the aid of generating functions and trigonometric functions.
Sunil Kumar Sharma +2 more
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Crystallization of Random Trigonometric Polynomials [PDF]
Journal of Statistical Physics, 2006 10 pages, 3 ...
Farmer, David W., Yerrington, Mark
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Weighted inequalities for generalized polynomials with doubling weights
Journal of Inequalities and Applications, 2017 Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case 1 ≤ p < ∞ $1 \leq p < \infty$ , and by Tamás Erdélyi for 0 < p ≤ 1 $
Haewon Joung
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