Shape preserving properties of some positive linear operators on unbounded intervals

Journal of Approximation Theory

Volumn 93, Issue 1, 1998, Pages 140-156

  Carbone, Ingrid ^a  

^a UNIVERSITY OF BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012956049     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1997.3134     Document Type: Article

References (9)

1. F. Altomare, Approximation theory methods for the study of diffusion equations, in "Approximation Theory, Proc. IDoMAT 95," (M. W. Müller, M. Felten and D. H. Mache, Eds.), Mathematical Research, Vol. 86, pp. 9-26, Akademie Verlag, Berlin, 1995.
2. F. Altomare and M. Campiti, "Korovkin-Type Approximation Theory and its Applications," de Gruyter Series Studies in Mathematics, Vol. 17, de Gruyter, Berlin/New York, 1994.
3. F. Altomare and I. Carbone, On a new sequence of positive linear operators on unbounded intervals, Rend. Circ. Mat. Palermo (2) Suppl. 40 (1996), 23-36.
4. F. Altomare and I. Carbone, On some degenerate differential operators in weighted function spaces, J. Math. Analysis Appl. 213 (1997), 308-333.
5. M. Becker and R. J. Nessel, Iteration von Operatoren und Saturation in lokal konvexen Räumen, in "Forschungsberichte des Landes Nordrhein-Westfalen No. 2470," pp. 27-49, Westdeutscher Verlag Opladen, 1975.
6. R. M. Dudley, "Real Analysis and Probability," Mathematics Series, Wadsworth, Pacific Grove, CA, 1989.
7. M. K. Khan and M. A. Peters, Lipschitz constants for some approximation operators of a Lipschitz continuous function, J. Approx. Theory 59 (1989), 307-315.
8. R. A. Khan, Some probabilistic methods in the theory of approximation operators, Acta Math. Hungar. 35, Nos. 1-2 (1980), 193-203.
9. R. Martini, On the approximation of functions together with their derivatives by certain linear positive operators, Indag. Math. (N.S.) 31 (1969), 473-481.