Results 21 to 30 of about 124 (109)
Direct and strong converse inequalities for approximation with Fejér means
We present upper and lower estimates of the error of approximation of periodic functions by Fejér means in the Lebesgue spaces L2πp{L}_{2{\pi }}^{p}. The estimates are given in terms of a K-functional for 1≤p≤∞1\le p\le \infty and in terms of the first ...
Bustamante Jorge
doaj +1 more source
A generalization of Hermite interpolation
We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
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On approximation of functions and their derivatives by quasi‐Hermite interpolation
In this paper, we consider the simultaneous approximation of the derivatives of the functions by the corresponding derivatives of quasi‐Hermite interpolation based on the zeros of (1 − x2)pn(x) (where pn(x)is a Legendre polynomial). The corresponding approximation degrees are given. It is shown that this matrix of nodes is almost optimal.
G. Min
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A pointwise approximation theorem for linear combinations of Bernstein polynomials
Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.
Shunsheng Guo +4 more
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A method of summability of Lagrange interpolation
The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method a result presented in [12] and we also point out a solution for a problem of P.L.Butzer in the proceedings of the Budapest conference
Detlef H. Mache
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On better approximation order for the max-product Meyer-König and Zeller operator
Bede et al. (B. Bede, L. Coroianu, and S. G. Gal, Approximation and shape preserving properties of the nonlinear Meyer-König and Zeller operator of max-product kind, Numer. Funct. Anal. Optim. 31 (2010), no.
Çit Sezin, Doğru Ogün
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The changing Buddhist landscape: Anxiety and the development of Pure Land Buddhism in medieval China
Abstract The introduction of Pure Land practice and belief into medieval China changed the Buddhist landscape. Pure Land Buddhism offered a new pathway and new methods for achieving enlightenment. However, these changes were also a significant source of anxiety among the early community of Pure Land practitioners.
Kendall R. Marchman
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We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson′s order of approximation can be attained by Lagrange interpolation for a wide class of functions. Improving a recent result of Mastroianni and Szabados, we show that for a subclass of C1 functions the local order of approximation given by Lagrange ...
Xin Li
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Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators
In this article, the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn ((p, q)‐SSBBH) operators are introduced. The Korovkin‐type theorem is obtained to show the approximation properties of these operators. Then, the rate of convergence of these operators with the help of the modulus of continuity and Lipschitz‐type maximal functions is calculated ...
Gülten Torun, Ljubisa Kocinac
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On some regular and singular problems of Birkhoff interpolation
Here we investigate the pure (0, 1, …, r − 2, r)‐interpolation problem on the zeros of , α > −1, where is the Jacobi polynomial of degree n with β = α.
N. Jhunjhunwala, J. Prasad
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