Three Conjectures on Shepard Interpolatory Operators

Journal of Approximation Theory

Volumn 93, Issue 3, 1998, Pages 399-414

  Xie, Tingfan ^a   Zhang, Ren Jiang ^b   Zhou, Songping ^b  

^a CHINA JILIANG UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010155579     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3180     Document Type: Article

References (6)

1. B. Della Vecchia, G. Mastroianni, and V. Totik, Saturation of the Shepard operators, Approx. Theory Appl. 6, No. 4 (1990), 76-84.
2. G. Criscuolo and G. Mastroianni, The Shepard interpolatory procedure, Acta Math. Hungar. 61 (1993), 79-91.
3. T. Hermann and P. Vértesi, On an interpolatory operator and its saturation, Acta Math. Hungar. 37 (1981), 1-9.
4. G. Somorjai, On a saturation problem, Acta Math. Hungar. 32 (1978), 377-381.
5. J. Szabados, Direct and converse approximation theorems for the Shepard operator, Approx. Theory Appl. 7, No. 3 (1991), 63-76.
6. S. P. Zhou, A constructive method related to generalizations of the uniform boundedness principle and its applications, Numer. Funct. Anal. Optim. 14 (1993), 195-212.