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 Induced Multivariate Smooth Gauss–Weierstrass Singular Integrals Approximation
Mathematics, 2023 In this article, we employ the uniform and Lp, 1 ...
George A. Anastassiou
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Subperiodic trigonometric subsampling: A numerical approach [PDF]
, 2017 We show that Gauss-Legendre quadrature applied to trigonometric poly- nomials on subintervals of the period can be competitive with subperiodic trigonometric Gaussian quadrature. For example with intervals correspond- ing to few angular degrees, relevant
Sommariva, Alvise, Vianello, Marco
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Metastable energy strata in numerical discretizations of weakly nonlinear wave equations [PDF]
, 2016 The quadratic nonlinear wave equation on a one-dimensional torus with small initial values located in a single Fourier mode is considered. In this situation, the formation of metastable energy strata has recently been described and their long-time ...
Gauckler, Ludwig, Weiss, Daniel
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Best multiplier Approximation in L_(p,∅_n ) (B)
Al-Mustansiriyah Journal of Science, 2019 The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators.
Saheb K. Al-Saidy +2 more
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On approximation processes defined by a cosine operator function; pp 214–224 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 In this paper we introduce the Blackman- and Rogosinski-type approximation processes in an abstract Banach space setting. The historical roots of these processes go back to W. W. Rogosinski in 1926.
Andi Kivinukk, Anna Saksa, Maria Zeltser
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Padé approximant related to remarkable inequalities involving trigonometric functions
Journal of Inequalities and Applications, 2016 In this paper we, respectively, give simple proofs of some remarkable trigonometric inequalities, based on the Padé approximation method. We also obtain rational refinements of these inequalities.
Gabriel Bercu
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The natural algorithmic approach of mixed trigonometric-polynomial problems [PDF]
, 2017 The aim of this paper is to present a new algorithm for proving mixed trigonometric-polynomial inequalities by reducing to polynomial inequalities. Finally, we show the great applicability of this algorithm and as examples, we use it to analyze some new ...
Lutovac, Tatjana +2 more
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On obtaining classical mechanics from quantum mechanics [PDF]
, 2006 Constructing a classical mechanical system associated with a given quantum mechanical one, entails construction of a classical phase space and a corresponding Hamiltonian function from the available quantum structures and a notion of coarser observations.
Ashtekar A +5 more
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Positive Data Visualization Using Trigonometric Function
Journal of Applied Mathematics, 2012 A piecewise rational trigonometric cubic function with four shape parameters has been constructed to address the problem of visualizing positive data.
Farheen Ibraheem +3 more
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