Results 21 to 30 of about 31,688 (173)
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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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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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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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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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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Trigonometric Polynomials and Lattice Points [PDF]
Proceedings of the American Mathematical Society, 1992 In this paper we study the distribution of lattice points on arcs of circles centered at the origin. We show that on such a circle of radius R R , an arc whose length is smaller than 2 R 1 / 2
Cilleruelo, J., Cordoba, A.
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Trigonometric Approximation by Modulus of Smoothness in Lp,α (X)
Al-Mustansiriyah Journal of Science, 2021 In this paper, we study the approximate properties of functions by means of trigonometric polynomials in weighted spaces. Relationships between modulus of smoothness of function derivatives and those of the jobs themselves are introduced. In the weighted
Mohammed Hamad Fayyadh, Alaa Adnan Auad
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On generalized trigonometric functions and series of rational functions
, 2017 Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associate with polynomial $x^2-1$.
Yu, Han
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Some Trigonometric Polynomials with Extremely Small Uniform Norm
, 2014 An example of trigonometric polynomials with extremely small uniform norm is given. This example demonstrates the potential limits for extension of Sidon's inequality for lacunary polynomials in a certain ...
Grigoriev, Pavel G. +1 more
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A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types
Mathematics, 2019 We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial ...
Dojin Kim
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