Results 31 to 40 of about 584,030 (179)

Convergence of greedy approximation for the trigonometric system [PDF]

open access: yesAnalysis Mathematica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Konyagin, S. V., Temlyakov, V. N.
openaire   +3 more sources

On approximation by trigonometric Lagrange interpolating polynomials II [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1989
We show that trigonometric Lagrange interpolating approximation with arbitrary real distinct nodes in Lp space for 1 ≤ p < ∞, as that with equally spaced nodes in Lp space for 1 < p < ∞ in an earlier paper by T.F. Xie and S.P. Zhou, may also be arbitrarily “bad”.
P.B. Borwein, T.F. Xie, S.P. Zhou
openaire   +1 more source

C1 rational quadratic trigonometric spline

open access: yesEgyptian Informatics Journal, 2013
A Bézier like C1 rational quadratic trigonometric polynomial spline is developed. It defines two shape parameters in each subinterval. The approximation and geometric properties are investigated. The curvature continuity is established.
Maria Hussain, Sidra Saleem
doaj   +1 more source

Approximations to inverse tangent function

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we present a sharp Shafer-type inequality for the inverse tangent function. Based on the Padé approximation method, we give approximations to the inverse tangent function. Based on the obtained result, we establish new bounds for arctanx.
Quan-Xi Qiao, Chao-Ping Chen
doaj   +1 more source

Trigonometric approximation of the Max-Cut Polytope is star-like

open access: yes, 2022
3 pages, 1 figureInternational audienceThe Max-Cut polytope appears in the formulation of many difficult combinatorial optimization problems. These problems can also be formulated as optimization problems over the so-called trigonometric approximation ...
Ageron, Romain
core   +1 more source

Approximation of functions by (C,2)(E,1) product summability method of Fourier series

open access: yesRatio Mathematica, 2020
Various investigators such as Leindler [10], Chandra [1], Mishra et al. [7], Khan [11], Kushwaha [6] have determined the degree of approximation of  2 pai-periodic functions belonging to generalized Lipschitz class of functions through trigonometric ...
Jitendra Kumar Kushwaha
doaj   +1 more source

Best orthogonal trigonometric approximations of the Nikol'skii-Besov-type classes of periodic functions of one and several variables

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
We obtained the exact order estimates of the best orthogonal trigonometric approximations of periodic functions of one and several variables from the Nikol'skii-Besov-type classes $B^{\omega}_{1,\theta}$ ($B^{\Omega}_{1,\theta}$ in the multivariate case $
O.V. Fedunyk-Yaremchuk, S.B. Hembars'ka
doaj   +1 more source

Lasso trigonometric polynomial approximation for periodic function recovery in equidistant points [PDF]

open access: yes, 2023
In this paper, we propose a fully discrete soft thresholding trigonometric polynomial approximation on $[-\pi,\pi],$ named Lasso trigonometric interpolation.
Cai, Mou, An, Congpei
core   +1 more source

Approximation, regularization and smoothing of trigonometric splines

open access: yesCoRR, 2021
The methods of approximation, regularization and smoothing of trigonometric interpolation splines are considered in the paper. It is shown that trigonometric splines can be considered from two points of view - as a trigonometric Fourier series and as discrete trigonometric Fourier series according to certain systems of functions that are smoothness ...
openaire   +2 more sources

Hardy-Littlewood theorem for series with general monotone coefficients

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In this work we study trigonometric series with general monotone coefficients. Also, we consider Lqϕ ( Lq ) space. In particular, when ϕ ( t ) ≡ 1 the space Lqϕ ( Lq ) coincides with Lq .
S. Bitimkhan
doaj   +1 more source

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