Geodesic
Simultaneous approximation for Szász-Mirakian quasi-interpolants
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 789-803
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We obtain simultaneous approximation equivalence theorem for Szász-Mirakian quasi-interpolants.
We obtain simultaneous approximation equivalence theorem for Szász-Mirakian quasi-interpolants.
Classification : 41A25, 41A36
Keywords: Szász-Mirakian quasi-interpolants; simultaneous approximation; direct and inverse theorems; Ditzian-Totik modulus 
@article{CMJ_2006_56_3_a0,
     author = {Guo, Shunsheng and Qi, Qiulan},
     title = {Simultaneous approximation for {Sz\'asz-Mirakian} quasi-interpolants},
     journal = {Czechoslovak Mathematical Journal},
     pages = {789--803},
     year = {2006},
     volume = {56},
     number = {3},
     mrnumber = {2261654},
     zbl = {1164.41327},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a0/}
}
TY  - JOUR
AU  - Guo, Shunsheng
AU  - Qi, Qiulan
TI  - Simultaneous approximation for Szász-Mirakian quasi-interpolants
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 789
EP  - 803
VL  - 56
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a0/
LA  - en
ID  - CMJ_2006_56_3_a0
ER  - 
%0 Journal Article
%A Guo, Shunsheng
%A Qi, Qiulan
%T Simultaneous approximation for Szász-Mirakian quasi-interpolants
%J Czechoslovak Mathematical Journal
%D 2006
%P 789-803
%V 56
%N 3
%U http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a0/
%G en
%F CMJ_2006_56_3_a0
Guo, Shunsheng; Qi, Qiulan. Simultaneous approximation for Szász-Mirakian quasi-interpolants. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 789-803. http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a0/

[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.

[2] A. T. Diallo: Rate of convergence of Szász-Mirakian quasi-interpolants. ICTP preprint IC/97/138, Miramarc-Trieste, 1997.

[3] Z.  Ditzian: Direct estimate for Bernstein polynomials. J.  Approx. Theory 79 (1994), 165–166. | DOI | MR | Zbl

[4] Z.  Ditzian, V.  Totik: Moduli of Smoothness. Springer-Verlag, New York, 1987. | MR

[5] S.  Guo, C. Li, G. Yang, and S.  Yue: Pointwise estimate for Szász operators. J.  Approx. Theory. 94 (1998), 160–171. | DOI | MR

[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. | DOI | MR

[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

[8] V. Totik: Uniform approximation by Szász-Mirakian operators. Acta Math. Acad. Sci. Hungar. 41 (1983), 291–307. | DOI | MR