| Title:
|
Simultaneous approximation for Szász-Mirakian quasi-interpolants (English) |
| Author:
|
Guo, Shunsheng |
| Author:
|
Qi, Qiulan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
789-803 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain simultaneous approximation equivalence theorem for Szász-Mirakian quasi-interpolants. (English) |
| Keyword:
|
Szász-Mirakian quasi-interpolants |
| Keyword:
|
simultaneous approximation |
| Keyword:
|
direct and inverse theorems |
| Keyword:
|
Ditzian-Totik modulus |
| MSC:
|
41A25 |
| MSC:
|
41A36 |
| idZBL:
|
Zbl 1164.41327 |
| idMR:
|
MR2261654 |
| . |
| Date available:
|
2009-09-24T11:38:15Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128107 |
| . |
| Reference:
|
[1] A. T. Diallo: Szász-Mirakian quasi-interpolants.In: Curves and Surfaces, Laurent, Le Méhauté, Schumaker (eds.), Academic Press, New York, 1991, pp. 149–156. |
| Reference:
|
[2] A. T. Diallo: Rate of convergence of Szász-Mirakian quasi-interpolants.ICTP preprint IC/97/138, Miramarc-Trieste, 1997. |
| Reference:
|
[3] Z. Ditzian: Direct estimate for Bernstein polynomials.J. Approx. Theory 79 (1994), 165–166. Zbl 0814.41005, MR 1294327, 10.1006/jath.1994.1120 |
| Reference:
|
[4] Z. Ditzian, V. Totik: Moduli of Smoothness.Springer-Verlag, New York, 1987. MR 0914149 |
| Reference:
|
[5] S. Guo, C. Li, G. Yang, and S. Yue: Pointwise estimate for Szász operators.J. Approx. Theory. 94 (1998), 160–171. MR 1637831, 10.1006/jath.1998.3200 |
| Reference:
|
[6] S. Guo, L. Liu, and Q. Qi: Pointwise estimate for linear combinations of Bernstein-Kantorovich operators.J. Math. Anal. Appl. 265 (2002), 135–147. MR 1874261, 10.1006/jmaa.2001.7700 |
| Reference:
|
[7] P. Sablonnière: Representation of quasi-interpolants as differential operators and applications.In: New Developments in Approximation Theory (International Series of Numerical Mathematics, Vol. 132), Müller, Buhmann, Mache and Felten (eds.), Birkhäuser-Verlag, Basel, 1998, pp. 233–253. MR 1724922 |
| Reference:
|
[8] V. Totik: Uniform approximation by Szász-Mirakian operators.Acta Math. Acad. Sci. Hungar. 41 (1983), 291–307. MR 0703742, 10.1007/BF01961317 |
| . |
