Simultaneous approximation for Szász-Mirakian quasi-interpolants

Shunsheng Guo; Qiu Lan Qi

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 3, page 789-803
  • ISSN: 0011-4642

Abstract

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We obtain simultaneous approximation equivalence theorem for Szász-Mirakian quasi-interpolants.

How to cite

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Guo, Shunsheng, and Qi, Qiu Lan. "Simultaneous approximation for Szász-Mirakian quasi-interpolants." Czechoslovak Mathematical Journal 56.3 (2006): 789-803. <http://eudml.org/doc/31068>.

@article{Guo2006,
abstract = {We obtain simultaneous approximation equivalence theorem for Szász-Mirakian quasi-interpolants.},
author = {Guo, Shunsheng, Qi, Qiu Lan},
journal = {Czechoslovak Mathematical Journal},
keywords = {Szász-Mirakian quasi-interpolants; simultaneous approximation; direct and inverse theorems; Ditzian-Totik modulus; Szász-Mirakian quasi-interpolants; simultaneous approximation; direct and inverse theorems; Ditzian-Totik modulus},
language = {eng},
number = {3},
pages = {789-803},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Simultaneous approximation for Szász-Mirakian quasi-interpolants},
url = {http://eudml.org/doc/31068},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Guo, Shunsheng
AU - Qi, Qiu Lan
TI - Simultaneous approximation for Szász-Mirakian quasi-interpolants
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 3
SP - 789
EP - 803
AB - We obtain simultaneous approximation equivalence theorem for Szász-Mirakian quasi-interpolants.
LA - eng
KW - Szász-Mirakian quasi-interpolants; simultaneous approximation; direct and inverse theorems; Ditzian-Totik modulus; Szász-Mirakian quasi-interpolants; simultaneous approximation; direct and inverse theorems; Ditzian-Totik modulus
UR - http://eudml.org/doc/31068
ER -

References

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  1. Szász-Mirakian quasi-interpolants, In: Curves and Surfaces, Laurent, Le Méhauté, Schumaker (eds.), Academic Press, New York, 1991, pp. 149–156. (1991) 
  2. Rate of convergence of Szász-Mirakian quasi-interpolants, ICTP preprint IC/97/138, Miramarc-Trieste, 1997. (1997) 
  3. 10.1006/jath.1994.1120, J.  Approx. Theory 79 (1994), 165–166. (1994) Zbl0814.41005MR1294327DOI10.1006/jath.1994.1120
  4. Moduli of Smoothness, Springer-Verlag, New York, 1987. (1987) MR0914149
  5. 10.1006/jath.1998.3200, J.  Approx. Theory. 94 (1998), 160–171. (1998) MR1637831DOI10.1006/jath.1998.3200
  6. 10.1006/jmaa.2001.7700, J. Math. Anal. Appl. 265 (2002), 135–147. (2002) MR1874261DOI10.1006/jmaa.2001.7700
  7. 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. (1998) MR1724922
  8. 10.1007/BF01961317, Acta Math. Acad. Sci. Hungar. 41 (1983), 291–307. (1983) MR0703742DOI10.1007/BF01961317

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