On the Dimension of Bivariate Spline Spaces of Smoothness r and Degree d = 3r + 1.
Larry L. Schumaker, Peter Alfeld (1990)
Numerische Mathematik
Pych-Taberska, Paulina (1994)
Georgian Mathematical Journal
Randriambelosoa, Germain E. (2005)
Applied Mathematics E-Notes [electronic only]
V. A. Popov, A. S. Andreev (1984)
Banach Center Publications
Peter Köhler (1990)
Aequationes mathematicae
C. Dagnino, A. Palamara Orsi (1985)
Numerische Mathematik
Khatamov, Akhtam (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
P.D. Morris, E.W. Cheney (1974)
Journal für die reine und angewandte Mathematik
S. J. Dilworth, N. J. Kalton, Denka Kutzarova (2003)
Studia Mathematica
We consider several greedy conditions for bases in Banach spaces that arise naturally in the study of the Thresholding Greedy Algorithm (TGA). In particular, we continue the study of almost greedy bases begun in [3]. We show that almost greedy bases are essentially optimal for n-term approximation when the TGA is modified to include a Chebyshev approximation. We prove that if a Banach space X has a basis and contains a complemented subspace with a symmetric basis and finite cotype then X has an...
H. Werner, H.L. Loeb, R.B. Barrar (1974/1975)
Numerische Mathematik
Pierpaolo Omari (1989)
Mathematische Zeitschrift
Ferenc Weisz (2001)
Studia Mathematica
We investigate the bounded Ciesielski systems, which can be obtained from the spline systems of order (m,k) in the same way as the Walsh system arises from the Haar system. It is shown that the maximal operator of the Fejér means of the Ciesielski-Fourier series is bounded from the Hardy space to if 1/2 < p < ∞ and m ≥ 0, |k| ≤ m + 1. Moreover, it is of weak type (1,1). As a consequence, the Fejér means of the Ciesielski-Fourier series of a function f converges to f a.e. if f ∈ L₁ as n...
Zajíček, L. (1984)
Proceedings of the 12th Winter School on Abstract Analysis
Smith, Simon J. (1999)
Journal of Inequalities and Applications [electronic only]
Miheşan, Vasile (1998)
General Mathematics
Nowak, Grzegorz, Sikorska-Nowak, Aneta (2007)
Journal of Inequalities and Applications [electronic only]
Finta, Zoltán (2000)
Mathematica Pannonica
M.S. Younis (1988)
Revista colombiana de matematicas
Diaconu, A. (2003)
Mathematica Pannonica
Bencherif, Farid, Robin, Guy (1994)
Publications de l'Institut Mathématique. Nouvelle Série