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We are interested in finding approximation rate of extremal polynomials to Riemann function in and -norms on domains bounded by piecewise analytic curve.
The purpose of the present paper is to study the basic convergence theorem, Voronovskaja type asymptotic formula, local approximation, rate of convergence, weighted approximation, point-wise estimation and A-statistical convergence of the operators (1.3).
Consequently, the approximation rate of Legendre polynomials is (n^{-k}) with respect to Lemma 4.1, and also from Theorem 4.1, (|x-x_{n}|) converge to zero as soon as (|x-L_{n}|).
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end{aligned} (1.2) Then, the approximation rates of the q-Bernstein-Schurer-Kantorovich operators were given by means of Lipschitz class functionals and the first and the second modulus of continuity.
It is well known that nonlinear approximation has an advantage over linear schemes in the sense that it provides comparable approximation rates to those of the linear schemes, but to a larger class of approximands.
Furthermore it enables us to give estimates for the approximation rate when the dimension of the finite model approaches infinity.
The HAP is useful in practice, since it means that the approximation rate in a reconstruction of f is invariant under time-scale shifts.
F astA pproximate outperforms all the other approaches in Figure 6, which is consistent with the analysis of its approximation rate.
To a first approximation the rate of loss of SERS intensity at open circuit is seen to be related to the rate of corrosion.
Analysis of the relationship between the total oxide thickness and the current during the oscillation cycle shows that to a first approximation the rate of chemical dissolution of anodic oxide remains constant.
To a first approximation, the rate of spontaneous recombination between dispersed repeats and its genetic control are more similar to allelic recombination than to direct or inverted repeat recombination, suggesting heterologous chromosomes interact as frequently as homologous chromosomes in mitotic cells (Lichten and Haber 1989).
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