| Title:
|
Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators (English) |
| Author:
|
Walczak, Zbigniew |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
465-476 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A36 |
| idZBL:
|
Zbl 1108.41015 |
| idMR:
|
MR2181784 |
| . |
| Date available:
|
2009-09-25T14:28:04Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136921 |
| . |
| Reference:
|
[1] BECKER M.: Global approximation theorems for Szász-Mirakjan and Baskakov operators in polynomial weight spaces.Indiana Univ. Math. J. 27 (1978), 127-142. Zbl 0358.41006, MR 0493079 |
| Reference:
|
[2] DE VORE R. A.-LORENTZ G. G.: Constructive Approximation.Springer-Verlag, Berlin, 1993. MR 1261635 |
| Reference:
|
[3] GUPTA P.-GUPTA V.: Rate of convergence on Baskakov-Szász type operators.Fasc. Math. 31 (2001), 37-44. MR 1860546 |
| Reference:
|
[4] GUPTA V.-ABEL U.: On the rate of convergence of Bezier variant of Szász-Durrmeyer operators.Anal. Theory Appl. 19 (2003), 81-88. Zbl 1062.41024, MR 1996355 |
| Reference:
|
[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 1689649 |
| Reference:
|
[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. Zbl 1052.41005, MR 1997619 |
| Reference:
|
[7] HERZOG M.: Approximation theorems for modified Szász-Mirakjan operators in polynomial weight spaces.Matematiche (Catania) 54 (1999), 77-90. Zbl 0960.41015, MR 1776330 |
| Reference:
|
[8] LEHNHOFF H. G.: On a modified Szász-Mirakjan operator.J. Approx. Theory 42 (1984), 278-282. Zbl 0573.41034, MR 0765443 |
| Reference:
|
[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. Zbl 0880.41017, MR 1469620 |
| Reference:
|
[10] REMPULSKA L.-WALCZAK Z.: Approximation properties of certain modified Szász-Mirakyan operators.Matematiche (Catania) 55 (2000), 121-132. Zbl 1055.41008, MR 1889002 |
| Reference:
|
[11] WALCZAK Z.: On certain linear positive operators in exponential weighted spaces.Math. J. Toyama Univ. 25 (2002), 109-118. Zbl 1111.41017, MR 1963731 |
| Reference:
|
[12] WALCZAK Z.: On approximation by modified Szász-Miraky an operators.Glas. Mat. Ser. Ill 37(57) (2002), 303-319. MR 1951535 |
| Reference:
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[13] WALCZAK Z.: On certain modified Szász-Miraky an operators in polynomial weighted spaces.Note Mat. 22 (2003/2004), 17-25. MR 2106570 |
| Reference:
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[14] WALCZAK Z.: Certain modification of Szász-Miraky an operators.Fasc. Math. 34 (2004), 141-148. MR 2099631 |
| Reference:
|
[15] WALCZAK Z.: Approximation by some linear positive operators in polynomial weighted spaces.Publ. Math. Debrecen 64 (2004), 353-367. Zbl 1079.41023, MR 2058908 |
| Reference:
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[16] WALCZAK Z.: On certain positive linear operators in polynomial weight spaces.Acta Math. Hungar. 101 (2003), 179-191. MR 2018629 |
| Reference:
|
[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. Zbl 1064.41017, MR 2067211 |
| Reference:
|
[18] XIEHUA S.: On the convergence of Szász-Mirakyan operator.Approx. Theory Appl. 10 (1994), 20-25. |
| . |
