About an old problem of Karamata.
Simić, Slavko (2002)
Publications de l'Institut Mathématique. Nouvelle Série
Farcaş, Mircea D. (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
Constantinescu, Eugen (2008)
General Mathematics
Farcaş, Mircea D. (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Pop, Ovidiu T. (2007)
International Journal of Mathematics and Mathematical Sciences
Pop, Ovidiu T. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Acu, Dumitru, Dicu, Petrică (2002)
General Mathematics
Pop, O.T., Fărcaş, M.D. (2009)
Acta Mathematica Universitatis Comenianae. New Series
Dušan Mikičić, Dejan Popović (1982)
Publications de l'Institut Mathématique
Reinhard Scholz (1973/1974)
Manuscripta mathematica
J.F.B.M. Kraaijevanger, J.A. van de Griend (1986)
Numerische Mathematik
A. Nosálová (1989)
Commentationes Mathematicae Universitatis Carolinae
Emre Taş (2018)
Mathematica Bohemica
Our aim is to change classical test functions of Korovkin theorem on modular spaces by using -summability.
Carlo Bardaro, Antonio Boccuto, Xenofon Dimitriou, Ilaria Mantellini (2013)
Open Mathematics
We prove some versions of abstract Korovkin-type theorems in modular function spaces, with respect to filter convergence for linear positive operators, by considering several kinds of test functions. We give some results with respect to an axiomatic convergence, including almost convergence. An extension to non positive operators is also studied. Finally, we give some examples and applications to moment and bivariate Kantorovich-type operators, showing that our results are proper extensions of the...
A.A.M. Cuyt (1983)
Numerische Mathematik
Paul Wild (1987)
Numerische Mathematik
Veselý, L. (1991)
Acta Mathematica Universitatis Comenianae. New Series
C. Heil, C. Cabrelli, U. Molter (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Claudio Canuto (2003)
Bollettino dell'Unione Matematica Italiana
This is mainly a review paper, concerned with some applications of the concept of Nonlinear Approximation to adaptive convex minimization. At first, we recall the basic ideas and we compare linear to nonlinear approximation for three relevant families of bases used in practice: Fourier bases, finite element bases, wavelet bases. Next, we show how nonlinear approximation can be used to design rigorously justified and optimally efficient adaptive methods to solve abstract minimization problems in...
F. Němec (1990)
Commentationes Mathematicae Universitatis Carolinae