Results 51 to 60 of about 584,030 (179)

Approximation of Signals (Functions) by Trigonometric Polynomials in Lp-Norm

International Journal of Mathematics and Mathematical Sciences, 2014
Mittal and Rhoades (1999, 2000) and Mittal et al. (2011) have initiated a study of error estimates En(f) through trigonometric-Fourier approximation (tfa) for the situations in which the summability matrix T does not have monotone rows.
M. L. Mittal, Mradul Veer Singh
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Nikol’skii–Type Inequalities for Trigonometric Polynomials for Lorentz–Zygmund Spaces

Journal of Function Spaces, 2020
Nikol’skii–type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus Td for the Lorentz–Zygmund spaces, are obtained. The results of previous paper “Nikol’skii inequalities for Lorentz–Zygmund spaces” are
Leo R. Ya. Doktorski
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APPROXIMATION PROPERTIES OF SOME DISCRETE FOURIER SUMS FOR PIECEWISE SMOOTH DISCONTINUOUS FUNCTIONS

Проблемы анализа, 2019
Denote by Ln, N (f, x) a trigonometric polynomial of order at most n possessing the least quadratic deviation from f with respect to the system  tk = u + 2πk N N−1 k=0 , where u ∈ R and n 6 N/2.
G. G. Akniyev
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Simultaneous approximation by polynomials in Orlicz spaces generated by quasiconvex Young functions

Kuwait Journal of Science, 2016
In this paper we prove some theorems on simultaneous approximation by trigonometric or algebraic polynomials in Orlicz spaces constructed by Young functions belonging to a reasonably wide class.
huseyin koc
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On the properties for families of function classes over harmonic intervals and their embedding relation with Besov spaces

Қарағанды университетінің хабаршысы. Математика сериясы
The article is dedicated to the issues of studying the approximation of functions by trigonometric polynomials with a spectrum from special sets. In this paper, these special sets are harmonic intervals.
G.A. Yessenbayeva, L.A. Serikova
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DISCRETE LEAST SQUARES APPROXIMATION OF PIECEWISE-LINEAR FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS

Проблемы анализа, 2017
Let N be a natural number greater than 1. Select N uniformly distributed points t_k = 2πk/N (0 ≤ k ≤ N − 1) on [0, 2π]. Denote by L_{n,N} (f) = L_{n,N} (f, x) (1 ≤ n ≤ N/2) the trigonometric polynomial of order n possessing the least quadratic deviation ...
G. G. Akniyev
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Trigonometric Approximation in Reflexive Orlicz Spaces

Analysis in Theory and Applications, 2011
Summary: The Lipschitz classes Lip\((\alpha,M ...
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On approximation by trigonometric sums and polynomials [PDF]

Transactions of the American Mathematical Society, 1912
The chief purpose of this paper, carried out in its second part, is the determination of numerical limits for certain constants, hitherto undetermined, which figure in the principal theorems of the first two parts (Abschnitte) of the author's thesis,t concerning the degree of approximation to a given continuous function f (x) that can be attained ...
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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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On approximation by trigonometric polynomials in Orlicz spaces

, 2012
Let T denote the interval [-?,?]. IN this paper, some theorems for approximation by trigonometric polynomials in the Orlicz space LM(T) are proved. Under certain conditions, we prove the existence of derivatives of functions belonging to the Orlicz space
Jafarov, Sadulla Z., Mamedkhanov, J.I.
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