Results 21 to 30 of about 124 (109)

Direct and strong converse inequalities for approximation with Fejér means

open access: yesDemonstratio Mathematica, 2020
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 719-725, 1997., 1996
We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
wiley   +1 more source

On approximation of functions and their derivatives by quasi‐Hermite interpolation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 279-286, 1996., 1994
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
wiley   +1 more source

A pointwise approximation theorem for linear combinations of Bernstein polynomials

open access: yesAbstract and Applied Analysis, Volume 1, Issue 4, Page 397-406, 1996., 1996
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
wiley   +1 more source

A method of summability of Lagrange interpolation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 19-25, 1994., 1992
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
wiley   +1 more source

On better approximation order for the max-product Meyer-König and Zeller operator

open access: yesDemonstratio Mathematica
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
doaj   +1 more source

The changing Buddhist landscape: Anxiety and the development of Pure Land Buddhism in medieval China

open access: yesThe Australian Journal of Anthropology, Volume 36, Issue 2, Page 280-291, August 2025.
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
wiley   +1 more source

On a subclass of C1 functions for which the Lagrange interpolation yields the Jackson order of approximation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 209-216, 1994., 1993
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
wiley   +1 more source

Some Approximation Properties of the (p, q)–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
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
wiley   +1 more source

On some regular and singular problems of Birkhoff interpolation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 217-226, 1994., 1994
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
wiley   +1 more source

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