ON AN EXTREMAL PROBLEM FOR POLYNOMIALS WITH FIXED MEAN VALUE
Ural Mathematical Journal, 2016 Let \(T_n^+\) be the set of nonnegative trigonometric polynomials \(\tau_n\) of degree \(n\) that are strictly positive at zero. For \(0\le\alpha\le2\pi/(n+2),\) we find the minimum of the mean value of polynomial \((\cos\alpha-\cos{x})\tau_n(x)/\tau_n(0)
Alexander G. Babenko
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Positive trigonometric polynomials and signal processing applications
, 2007 Presents the results on positive trigonometric polynomials within a unitary framework; the theoretical results obtained partly from the general theory of real polynomials, partly from self-sustained developments.
Dumitrescu, Bogdan
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Approximation by trigonometric polynomials in morrey type spaces
, 2022 Tez altı bölümden oluşmaktadır. İlk bölüm giriş kısmına ayrılmıştır. İkinci bölümde temel kavramlar ve teoremler verilmiştir. Üçüncü bölümde Morrey uzaylarının tanımı ve bazı temel özellikleri verilmiş ve bu uzaylarda trigonometrik polinomlarla en iyi ...
Bıçak, Zeynep
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Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane [PDF]
Opuscula Mathematica, 2008 In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.
Paweł Karczmarek
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Positive trigonometric polynomials and signal processing applications
, 2017 This revised edition is made up of two parts: theory and applications. Though many of the fundamental results are still valid and used, new and revised material is woven throughout the text.
Bogdan Dumitrescu, Dumitrescu, Bogdan
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Integral inequalities for trigonometric polynomials in periodic Morrey spaces
Современная математика: Фундаментальные направленияIn this paper, we present a detailed exposition of Bernstein’s inequality, inequalities of different metrics and different dimensions for trigonometric polynomials in periodic Morrey spaces.
D. J. Joseph
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Real zero isolation for trigonometric polynomials
, 1992 An exact and practical method for determining the number, location, and multiplicity of all real zeros of the trigonometric polynomials is described. All computations can be performed without loss of accuracy.
Achim Schweikard
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Approximation of classes B^ω_p,θ of periodic functions of several variables by polynomials with spectrum from cubic areas (in Ukrainian) [PDF]
Математичні Студії, 2011 We have obtained exact order estimates for error of approximation of classes B^ω_p,θ of periodic functions of several variables by trigonometric polynomials with spectrum from cubic areas.
S. A. Stasyuk
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THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS
Acta Polytechnica, 2016 The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail ...
Agata Bezubik, Severin Pošta
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Bernstein and Szegö inequalities for trigonometric polynomials [PDF]
, 2008 Статья поступила 05.01.2008 г. Окончательный вариант 11.02.2008 г.Дан обзор результатов, относящихся к точным неравенствам Бернштейна и Сеге для тригонометрических полиномов (на вещественной оси, а точнее, на периоде) и некоторым более общим неравенствам
Арестов, В. В., Arestov, V. V.
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