Approximation of weak-to-norm continuous mappings

Journal of Approximation Theory

Volumn 119, Issue 1, 2002, Pages 18-40

  D'Ambrosio, Lorenzo ^a,b  

^a SISSA   (Italy)

^b UNIVERSITY OF BARI   (Italy)

Author keywords

Korovkin test; Linear approximation process; Representation formula; Vector valued mappings

Indexed keywords

EID: 0036847422     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2002.3708     Document Type: Article

References (8)

1. Z. Ditzian, Convergence of sequences of linear positive operators: Remarks and applications, J. Approx. Theory 14 (1975), 296-301.
2. P.P. Korovkin, "Linear Operators and Approximation Theory," Hindustan Publishing Corporation, Delhi, India, 1960 (Translated from the Russian Edition 1959).
3. T. Nishishiraho, Approximation process of quasi-positive linear operators, Ryukyu Math. J. 5 (1992), 65-79.
4. T. Nishishiraho, Korovkin type approximation closures for vector-valued functions, Ryukyu Math. J. 9 (1996), 53-69.
5. J.B. Prolla, Weierstrass-Stone, the theorem, "Approximation & optimization," Vol. 5, Verlag Peter Lang, Frankfurt am Main/Berlin/Bern/New York/Paris/Wien, 1993.
6. S.-Y. Shaw, Approximation of unbounded functions and applications to representations of semigroups, J. Approx. Theory 28 (1980), 238-259.
7. S.-Y. Shaw and C.-C. Yeh, Rates for approximation of unbounded functions by positive operators, J. Approx. Theory 57 (1989), 278-292.
8. O. Shisha and B. Mond, The degree of convergence of sequences of linear positive operators, Proc. Natl. Acad. Sci. USA 60 (1968), 1196-1200.