On the rate of convergence of Baskakov-Kantorovich-Bézier operators for bounded variation functions

Authors

  • Ulrich Abel University of Applied Sciences, Germany
  • Vijay Gupta School of Applied Sciences, Netaji Subhas Institute of Technolog, India
  • Mircea Ivan Technical University Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat312-716

Keywords:

approximation by positive operators, rate of convergence, degree of approximation, functions of bounded variation, total variation
Abstract views: 196

Abstract

In the present paper we introduce Baskakov-Kantorovich-Bézier operators and study their rate of convergence for functions of bounded variation.

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References

Abel, U. and Gupta, V., An estimate on the rate of convergence of bounded variation functions by a Bezier variant of the Baskakov-Kantorovich operators, to appear in Demonstratio Math., https://doi.org/10.1515/dema-2003-0114 DOI: https://doi.org/10.1515/dema-2003-0114

Abel, U., Gupta, V.andIvan, M.,The complete asymptotic expansion for theBaskakov-Kantorovich operators, Proc. Tiberiu Popoviciu Itinerant Seminar of Functional Equations, Approximation and Convexity, Cluj-Napoca, pp. 3-13, 2002.

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Zeng, X. M. and Gupta, V.,Rate of convergence of Baskakov-Bezier type operators for locally bounded functions, Comput. Math. Appl., 44, pp. 1445-1453, https://doi.org/10.1016/S0898-1221(02)00269-9 DOI: https://doi.org/10.1016/S0898-1221(02)00269-9

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Published

2002-08-01

How to Cite

Abel, U., Gupta, V., & Ivan, M. (2002). On the rate of convergence of Baskakov-Kantorovich-Bézier operators for bounded variation functions. Rev. Anal. Numér. Théor. Approx., 31(2), 123–133. https://doi.org/10.33993/jnaat312-716

Issue

Vol. 31 No. 2 (2002)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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