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Bézier-Bernstein-Schurer type operators Cover

Bézier-Bernstein-Schurer type operators

By: Arun Kajla,  Sahil and  Priya Sehrawat  
Open Access
|Nov 2023

References

  1. U. Abel, V. Gupta, An estimate of the rate of convergence of a Bézier variant of the Baskaokov-Kantorovich operators for bounded variation functions, Demonstratio Math., vol. 36, no. 1, 2003, 123-136.
  2. T. Acar, A. Kajla, Blending type approximation by Bézier-summation-integral type operators, Commun. Fac. Sci., Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 2, 2018, 195-208.
  3. A. M. Acu, T. Acar, V. A. Radu, Approximation by modified Uρn operators, RACSAM, doi.org/10.1007/s13398-019-00655-y.
  4. P. N. Agrawal, N. Ispir, A. Kajla, Approximation properties of Bézier-summation-integral type operators based on Polya-Bernstein functions, Appl. Math. Comput.,vvol. 259, 2015, 533-539.
  5. R. Bojanic, F. Cheng, Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation, J. Math. Anal. Appl., vol. 141, no. 1, 1989, 136-151.
  6. X. Chen, J. Tan, Z. Liu, J. Xie, Approximation of functions by a new family of generalized Bernstein operators, J. Math. Anal. Appl., vol. 450, 2017, 244-261.
  7. Z. Ditzian, V. Totik, Moduli of Smoothness, Springer, New York, 1987.
  8. V. Gupta, On the Bézier variant of Kantorovich operators, Comput. Math. Anal., vol. 47, 2004, 227-232.
  9. V. Gupta, An estimate on the convergence of Baskakov-Bézier operators, J. Math. Anal. Appl., vol. 312, 2005, 280-288.
  10. V. Gupta, R. P. Agarwal, Convergence Estimates in Approximation Theory, Springer, 2014.
  11. A. Kajla, On the Bézier variant of the Srivastava-Gupta operators, Constr. Math. Anal., vol. 1, 2018, 99-107.
  12. A. Kajla, T. Acar, Bézier-Bernstein-Durrmeyer type operators, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM), 114:31, 2020, 1-11.
  13. A. Kajla, D. Miclăus¸, Bézier variant of the Szász-Durrmeyer type operators based on the Poisson-Charlier polynomials, Filomat, vol. 34, no. 10, 2020, 3265-3273.
  14. A. Kajla, F.Özger, J. Yadav, Bézier-Baskakov-Beta type Operators, Filomat, vol. 36, 2022, 6735-6750.
  15. F.Özger, H. M. Srivastava, S. A. Mohiuddine, Approximation of functions by a new class of generalized Bernstein-Schurer operators, RACSAM 114, 173, 2020, https://doi.org/10.1007/s13398-020-00903-6
  16. H. M. Srivastava, V. Gupta, Rate of convergence for the Bézier variant of the Bleimann-Butzer-Hahn operators, Appl. Math. Lett., vol. 18, 2005, 849-857.
DOI: https://doi.org/10.2478/gm-2022-0015 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 51 - 61
Submitted on: Oct 25, 2022
Accepted on: Dec 5, 2022
Published on: Nov 24, 2023
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2023 Arun Kajla, Sahil, Priya Sehrawat, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.