Bernstein-Durrmeyer type operators
Zbigniew Walczak (2004)
Acta Mathematica Universitatis Ostraviensis
Vijay Gupta, Oktay Duman (2010)
Matematički Vesnik
A. Pinkus (1981)
Aequationes mathematicae
A. Pinkus (1981)
Aequationes mathematicae
R. Bojanić, J. M. Elkins (1975)
Publications de l'Institut Mathématique
R. Bojanic, J.M. Elkins (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]
Milev, Lozko B., Révész, Szilárd Gy. (2005)
Journal of Inequalities and Applications [electronic only]
Charles Fefferman, Raghavan Narasimhan (1993)
Annales de l'institut Fourier
G. Lewicki (1992)
Monatshefte für Mathematik
Lubinsky, D.S. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Antonio Attalienti, Michele Campiti (2002)
Czechoslovak Mathematical Journal
We define Bernstein-type operators on the half line by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.
Stephan Dahlke (1998)
Manuscripta mathematica
Platonov, S.S. (2009)
Sibirskij Matematicheskij Zhurnal
A. O. Chiacchio, J. B. Prolla, M. S. M. Roversi (1992)
Revista Matemática de la Universidad Complutense de Madrid
Maria Zoraide M. Costa Soares (1985)
Compositio Mathematica
Al-Thagafi, M.A. (1995)
International Journal of Mathematics and Mathematical Sciences
Tulsi Dass Narang (1981)
Archivum Mathematicum
Gát, G. (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Hemant Kumar Nashine (2006)
Archivum Mathematicum
Some existence results on best approximation are proved without starshaped subset and affine mapping in the set up of -normed space. First, we consider the closed subset and then weakly compact subsets for said purpose. Our results improve the result of Mukherjee and Som (Mukherjee, R. N., Som, T., A note on an application of a fixed point theorem in approximation theory, Indian J. Pure Appl. Math. 16(3) (1985), 243–244.) and Jungck and Sessa (Jungck, G., Sessa, S., Fixed point theorems in best...
Kenneth R. Davidson, S.C. Power (1986)
Journal für die reine und angewandte Mathematik