Rate of approximation for the Bézier variant of Balazs-Kantorovich operators

Vijay Gupta; Xiao Ming Zeng

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 4, page [349]-358
  • ISSN: 0139-9918

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Gupta, Vijay, and Zeng, Xiao Ming. "Rate of approximation for the Bézier variant of Balazs-Kantorovich operators." Mathematica Slovaca 57.4 (2007): [349]-358. <http://eudml.org/doc/34653>.

@article{Gupta2007,
author = {Gupta, Vijay, Zeng, Xiao Ming},
journal = {Mathematica Slovaca},
keywords = {approximation by positive operators},
language = {eng},
number = {4},
pages = {[349]-358},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Rate of approximation for the Bézier variant of Balazs-Kantorovich operators},
url = {http://eudml.org/doc/34653},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Gupta, Vijay
AU - Zeng, Xiao Ming
TI - Rate of approximation for the Bézier variant of Balazs-Kantorovich operators
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 4
SP - [349]
EP - 358
LA - eng
KW - approximation by positive operators
UR - http://eudml.org/doc/34653
ER -

References

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  1. AGRATINI O., An approximation process of Kantorovich type, Math. Notes Miskolac 2 (2001), 3-10. Zbl0981.41015MR1854433
  2. BALAZS K., Approximation by Bernstein type rational functions, Acta Math. Acad. Sci. Hungar. 26 (1975), 123-134. (1975) Zbl0307.41012MR0364958
  3. BALAZS C.-SZABADOS J., Approximation by Bernstein type rational functions II, Acta Math. Acad. Sci. Hungar. 40 (1982), 331-337. (1982) Zbl0531.41013MR0686333
  4. GUPTA V., Rate of convergence of Durrmeyer type Baskakov-Bezier operators for locally bounded functions, Turkish J. Math. 28 (2004), 271-280. Zbl1075.41014MR2095830
  5. GUPTA V., Rate of convergence by the Bezier variant of Phillips operators for bounded variation functions, Taiwanese J. Math. 8 (2004), 183-190. MR2061686
  6. GUPTA V., The Bezier variant of Kantorovitch operators, Comput. Math. Appl. 47 (2004), 227-232. Zbl1053.65098MR2047938
  7. GUPTA V., Degree of approximation to function of bounded variation by Bézier variant of MKZ operators, J. Math. Anal. Appl. 289 (2004), 292-300. Zbl1037.41013MR2020544
  8. GUPTA V.-ABEL U., Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the Baskakov operators, Int. J. Math. Math. Sci. 2004 (2004), 459-468. Zbl1123.41013MR2048792
  9. GUPTA V.-MAHESHWARI, R, Bezier variant of a new Durrmeyer type operators, Riv. Mat. Univ. Parma 7 (2003), 9-21. Zbl1050.41015MR2031837
  10. GUPTA V.-VASISHTHA V.-GUPTA M. K., An estimate on the rate of convergence of Bezier type summation-integral operators, Kуungpook Math. J. 43 (2003), 345-354. Zbl1050.41017MR2003479
  11. ZENG X. M., Bounds for Bernstein basis functions and Meyer-Konig and Zeller basis functions, J. Math. Anal. Appl. 219 (1998), 364-376. (1998) MR1606338
  12. ZENG X. M.-PIRIOU A., On the rate of convergence of two Bernstein-Bezier type operators for functions of bounded variation, J. Approx. Theory 95 (1998), 369-387. (1998) MR1657687

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