Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators

Zbigniew Walczak

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 4, page 465-476
  • ISSN: 0139-9918

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Walczak, Zbigniew. "Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators." Mathematica Slovaca 55.4 (2005): 465-476. <http://eudml.org/doc/34613>.

@article{Walczak2005,
author = {Walczak, Zbigniew},
journal = {Mathematica Slovaca},
keywords = {Szász-Mirakyan operator; degree of approximation; Voronovskaja type theorem},
language = {eng},
number = {4},
pages = {465-476},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators},
url = {http://eudml.org/doc/34613},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Walczak, Zbigniew
TI - Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 4
SP - 465
EP - 476
LA - eng
KW - Szász-Mirakyan operator; degree of approximation; Voronovskaja type theorem
UR - http://eudml.org/doc/34613
ER -

References

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  1. BECKER M., Global approximation theorems for Szász-Mirakjan and Baskakov operators in polynomial weight spaces, Indiana Univ. Math. J. 27 (1978), 127-142. (1978) Zbl0358.41006MR0493079
  2. DE VORE R. A.-LORENTZ G. G., Constructive Approximation, Springer-Verlag, Berlin, 1993. (1993) MR1261635
  3. GUPTA P.-GUPTA V., Rate of convergence on Baskakov-Szász type operators, Fasc. Math. 31 (2001), 37-44. MR1860546
  4. GUPTA V.-ABEL U., On the rate of convergence of Bezier variant of Szász-Durrmeyer operators, Anal. Theory Appl. 19 (2003), 81-88. Zbl1062.41024MR1996355
  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. (1999) MR1689649
  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. Zbl1052.41005MR1997619
  7. HERZOG M., Approximation theorems for modified Szász-Mirakjan operators in polynomial weight spaces, Matematiche (Catania) 54 (1999), 77-90. (1999) Zbl0960.41015MR1776330
  8. LEHNHOFF H. G., On a modified Szász-Mirakjan operator, J. Approx. Theory 42 (1984), 278-282. (1984) Zbl0573.41034MR0765443
  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. (1997) Zbl0880.41017MR1469620
  10. REMPULSKA L.-WALCZAK Z., Approximation properties of certain modified Szász-Mirakyan operators, Matematiche (Catania) 55 (2000), 121-132. Zbl1055.41008MR1889002
  11. WALCZAK Z., On certain linear positive operators in exponential weighted spaces, Math. J. Toyama Univ. 25 (2002), 109-118. Zbl1111.41017MR1963731
  12. WALCZAK Z., On approximation by modified Szász-Miraky an operators, Glas. Mat. Ser. Ill 37(57) (2002), 303-319. MR1951535
  13. WALCZAK Z., On certain modified Szász-Miraky an operators in polynomial weighted spaces, Note Mat. 22 (2003/2004), 17-25. MR2106570
  14. WALCZAK Z., Certain modification of Szász-Miraky an operators, Fasc. Math. 34 (2004), 141-148. MR2099631
  15. WALCZAK Z., Approximation by some linear positive operators in polynomial weighted spaces, Publ. Math. Debrecen 64 (2004), 353-367. Zbl1079.41023MR2058908
  16. WALCZAK Z., On certain positive linear operators in polynomial weight spaces, Acta Math. Hungar. 101 (2003), 179-191. MR2018629
  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. Zbl1064.41017MR2067211
  18. XIEHUA S., On the convergence of Szász-Mirakyan operator, Approx. Theory Appl. 10 (1994), 20-25. (1994) 

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