Results 31 to 40 of about 584,030 (179)
Convergence of greedy approximation for the trigonometric system [PDF]
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Konyagin, S. V., Temlyakov, V. N.
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On approximation by trigonometric Lagrange interpolating polynomials II [PDF]
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
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C1 rational quadratic trigonometric spline
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
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Approximations to inverse tangent function
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
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Trigonometric approximation of the Max-Cut Polytope is star-like
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
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Approximation of functions by (C,2)(E,1) product summability method of Fourier series
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
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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
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Lasso trigonometric polynomial approximation for periodic function recovery in equidistant points [PDF]
In this paper, we propose a fully discrete soft thresholding trigonometric polynomial approximation on $[-\pi,\pi],$ named Lasso trigonometric interpolation.
Cai, Mou, An, Congpei
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Approximation, regularization and smoothing of trigonometric splines
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 ...
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Hardy-Littlewood theorem for series with general monotone coefficients
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
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