Geodesic
Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators
Mathematica slovaca, Tome 55 (2005) no. 4, pp. 465-476
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 41A36 
@article{MASLO_2005_55_4_a6,
     author = {Walczak, Zbigniew},
     title = {Error estimates and the {Voronovskaja} theorem for modified {Sz\'asz-Mirakyan} operators},
     journal = {Mathematica slovaca},
     pages = {465--476},
     year = {2005},
     volume = {55},
     number = {4},
     mrnumber = {2181784},
     zbl = {1108.41015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2005_55_4_a6/}
}
TY  - JOUR
AU  - Walczak, Zbigniew
TI  - Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators
JO  - Mathematica slovaca
PY  - 2005
SP  - 465
EP  - 476
VL  - 55
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_2005_55_4_a6/
LA  - en
ID  - MASLO_2005_55_4_a6
ER  - 
%0 Journal Article
%A Walczak, Zbigniew
%T Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators
%J Mathematica slovaca
%D 2005
%P 465-476
%V 55
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_2005_55_4_a6/
%G en
%F MASLO_2005_55_4_a6
Walczak, Zbigniew. Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators. Mathematica slovaca, Tome 55 (2005) no. 4, pp. 465-476. http://geodesic.mathdoc.fr/item/MASLO_2005_55_4_a6/

[1] BECKER M.: Global approximation theorems for Szász-Mirakjan and Baskakov operators in polynomial weight spaces. Indiana Univ. Math. J. 27 (1978), 127-142. | MR | Zbl

[2] DE VORE R. A.-LORENTZ G. G.: Constructive Approximation. Springer-Verlag, Berlin, 1993. | MR

[3] GUPTA P.-GUPTA V.: Rate of convergence on Baskakov-Szász type operators. Fasc. Math. 31 (2001), 37-44. | MR

[4] GUPTA V.-ABEL U.: On the rate of convergence of Bezier variant of Szász-Durrmeyer operators. Anal. Theory Appl. 19 (2003), 81-88. | MR | Zbl

[5] GUPTA V.-PANT R. P.: Rate of convergence of the modified Szász-Mirakyan operators on functions of bounded variation. J. Math. Anal. Appl. 233 (1999), 476-483. | MR

[6] GUPTA V.-VASISHTHA V.-GUPTA M. K.: Rate of convergence of the Szász-Kantorovitch-Bezier operators for bounded variation functions. Publ. Inst. Math. (Beograd) (N.S.) 72(86) (2002), 137-143. | MR | Zbl

[7] HERZOG M.: Approximation theorems for modified Szász-Mirakjan operators in polynomial weight spaces. Matematiche (Catania) 54 (1999), 77-90. | MR | Zbl

[8] LEHNHOFF H. G.: On a modified Szász-Mirakjan operator. J. Approx. Theory 42 (1984), 278-282. | MR | Zbl

[9] LEŚNIEWICZ M.-REMPULSKA L.: Approximation by some operators of the Szász-Mirakjan type in exponential weight spaces. Glas. Mat. Ser. III 32 (1997), 57-69. | MR | Zbl

[10] REMPULSKA L.-WALCZAK Z.: Approximation properties of certain modified Szász-Mirakyan operators. Matematiche (Catania) 55 (2000), 121-132. | MR | Zbl

[11] WALCZAK Z.: On certain linear positive operators in exponential weighted spaces. Math. J. Toyama Univ. 25 (2002), 109-118. | MR | Zbl

[12] WALCZAK Z.: On approximation by modified Szász-Miraky an operators. Glas. Mat. Ser. Ill 37(57) (2002), 303-319. | MR

[13] WALCZAK Z.: On certain modified Szász-Miraky an operators in polynomial weighted spaces. Note Mat. 22 (2003/2004), 17-25. | MR

[14] WALCZAK Z.: Certain modification of Szász-Miraky an operators. Fasc. Math. 34 (2004), 141-148. | MR

[15] WALCZAK Z.: Approximation by some linear positive operators in polynomial weighted spaces. Publ. Math. Debrecen 64 (2004), 353-367. | MR | Zbl

[16] WALCZAK Z.: On certain positive linear operators in polynomial weight spaces. Acta Math. Hungar. 101 (2003), 179-191. | MR

[17] WALCZAK Z.: On some linear positive operators in polynomial weighted spaces. An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.) 49 (2003), 289-300. | MR | Zbl

[18] XIEHUA S.: On the convergence of Szász-Mirakyan operator. Approx. Theory Appl. 10 (1994), 20-25.