Results 21 to 30 of about 32,914 (238)
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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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 $2 $-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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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. We also consider trigonometric polynomials of the form A(θ)yn−1y′=B0(θ)+Bn(θ)yn where n≥2, being A,B0,Bn trigonometric polynomials of degree at most μ≥1 ...
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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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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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Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization [PDF]
, 2018 We extend the notion of Dubiner distance from algebraic to trigonometric polynomials on subintervals of the period, and we obtain its explicit form by the Szego variant of Videnskii inequality.
Vianello, Marco
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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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