On farthest and nearly farthest points
T. D. Narang (1992)
Matematički Vesnik
Dany Leviatan (1972)
Mathematische Zeitschrift
Franz Peherstorfer (1987/1988)
Numerische Mathematik
Rainer Kreß (1972/1973)
Numerische Mathematik
Dedić, Lj., Matić, M., Pečarić, J., Vukelić, A. (2002)
Journal of Inequalities and Applications [electronic only]
Bardaro, Carlo, Mantellini, Ilaria (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
George A. Anastassiou, Sorin G. Gal (2002)
Annales Polonici Mathematici
By using the properties of convergence and global smoothness preservation of multivariate Weierstrass singular integrals, we establish multivariate complex Carleman type approximation results with rates. Here the approximants fulfill the global smoothness preservation property. Furthermore Mergelyan's theorem for the unit disc is strengthened by proving the global smoothness preservation property.
M. Janc (1983)
Matematički Vesnik
S. Lewandowska, J. Mikusiński (1974)
Annales Polonici Mathematici
Z. Sadlok, Z. Tyc (1977)
Annales Polonici Mathematici
Branga, Adrian (1998)
General Mathematics
Shekhtman, Boris (2004)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Taberski, Roman (1994)
Georgian Mathematical Journal
O. Duman, M. A. Özarslan, O. Doğru (2006)
Studia Mathematica
We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the rth order generalization of our operators.
Rieger, G.J. (1971)
Portugaliae mathematica
F. H. Szafraniec (1983)
Annales Polonici Mathematici
T. M. Mills (1976)
Colloquium Mathematicae
Konstantin Runovski (2001)
Revista Matemática Complutense
It is shown that Jackson type inequality fails in the Orlicz classes φ(L) if φ(x) differs essentially from a power function of any order.
Pop, Ovidiu T. (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
A. D. Gadjiev, R. O. Efendiyev, E. Ibikli (2003)
Czechoslovak Mathematical Journal
It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space does not hold in all this space and is satisfied only on some subspace.