On a Map from the Splines into a Positive Cone with Applications.
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A. Bacopoulos, M. Marsden (1972)
Aequationes mathematicae
S. Jaffard, M. Tucsnak, E. Zuazua (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Jiří Kobza (1987)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Gonska, Heinz, Zhou, Ding-Xuan (1995)
Serdica Mathematical Journal
* The second author is supported by the Alexander-von-Humboldt Foundation. He is on leave from: Institute of Mathematics, Academia Sinica, Beijing 100080, People’s Republic of China.The best constant problem for Bernstein operators with respect to the second modulus of smoothness is considered. We show that for any 1/2 ≤ a < 1, there is an N(a) ∈ N such that for n ≥ N(a), 1−a≤k, n≤a, sup | Bn (f, k/n) − f(k/n) | ≤ cω2(f, 1/√n), where c is a constant,0 < c < 1.
Zygmunt Wronicz (2002)
Annales Polonici Mathematici
Chebyshevian box splines were introduced in [5]. The purpose of this paper is to show some new properties of them in the case when the weight functions are of the form , where the functions are periodic functions of one variable. Then we consider the problem of approximation of continuous functions by Chebyshevian box splines.
M.E.A. El Tom (1979)
Numerische Mathematik
O. Widlund (1976/1977)
Numerische Mathematik
Wing Hung Wong (1984)
Numerische Mathematik
Glenn Schober, Gerhard Opfer (1982)
Mathematische Zeitschrift
H. Prautzsch (1992)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
N. P. Korneichuk (1989)
Banach Center Publications
R. S. Anderssen, F. R. de Hoog, L. B. Wahlbin (1991)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
H. Render (2006)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Henry Kallioniemi (1976)
Mathematica Scandinavica
J. W. Schmidt (1989)
Banach Center Publications
Jerzy Stankiewicz (1997)
Collectanea Mathematica
Zygmunt Wronicz (1999)
Annales Polonici Mathematici
We give a generalization of box splines. We prove some of their properties and we give applications to interpolation and approximation of functions.
Zygmunt Wronicz (1985)
Annales Polonici Mathematici
S. I. Novikov (1989)
Banach Center Publications
F.-J. Delvos, Walter Schempp (1972)
Mathematische Zeitschrift
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