Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces
Journal of Function Spaces and Applications, 2012 Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
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More on fast decreasing trigonometric polynomials
Researches in MathematicsIn a recent paper, for a fixed $m\in\mathbb N$, we introduced trigonometric polynomials $$ L_n(x):=\frac1{h^m}\underbrace{\int_{-h/2}^{h/2}\dots\int_{-h/2}^{h/2}}_{m\,\text{times}}J_n(x+t_1+\cdots+t_m)\,dt_1\cdots\,dt_m, $$ where $J_n$ is a Jackson ...
D. Leviatan, O.V. Motorna, I.O. Shevchuk
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Approximation and saturation of functions by arithmetic means of trigonometric interpolating polynomials [PDF]
, 1963 Gen-ichirô Sunouchi
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On the number of real zeros of a random trigonometric polynomial [PDF]
, 1978 M. Sambandham
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A basic triad in Macdonald theory
Physics Letters BWithin the context of wavefunctions of integrable many-body systems, rational multivariable Baker-Akhiezer (BA) functions were introduced by O. Chalykh, M. Feigin and A.
A. Mironov, A. Morozov, A. Popolitov
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Deterministic sampling of sparse trigonometric polynomials
Journal of Complexity, 2011 One can recover sparse multivariate trigonometric polynomials from few randomly taken samples with high probability (as shown by Kunis and Rauhut). We give a deterministic sampling of multivariate trigonometric polynomials inspired by Weil's exponential sum.
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The Crest factor for trigonometric polynomials. Part I: Approximation theoretical estimates
, 2001 K. Jetter +2 more
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On the variance of the number of real roots of a random trigonometric polynomial [PDF]
, 1990 K. Farahmand
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Application of Trigonometric Polynomial Fitting Method in Simulating the Spatial Distribution of PM2.5 Concentration in South-Central China [PDF]
, 2023 Yang Chen +4 more
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Algorithms for Various Trigonometric Power Sums
AlgorithmsIn this paper, algorithms for different types of trigonometric power sums are developed and presented. Although interesting in their own right, these trigonometric power sums arise during the creation of an algorithm for the four types of twisted ...
Victor Kowalenko
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