Have a personal or library account? Click to login
Generalized Kantorovich operators Cover
Open Access
|May 2025

References

  1. O. Agratini, On simultaneous approximation by Stancu-Bernstein operators in Approximation and Optimization, Proceedings of ICAOR Romania, Cluj-Napoca, 1996, 157-162.
  2. V. Barbu, Differential Equations, Springer Undergraduate Mathematics Series, Springer, Cham, 2016, Translated from the 1985 Romanian original by Liviu Nicolaescu.
  3. S. N. Bernstein, Démonstration du théorém de Weierstrass fondeé sur la calcul desprobabilitiés, Commun. Soc. Math. Charkow Sér, vol. 13, 1912, 1-2.
  4. M. M. Derriennic, Sur l’approximation de fonctions intégrables sur [0, 1] par des polynômes de Bernstein modifies, Journal of Approximation Theorem, vol. 31, no. 4, 1981, 325-343.
  5. R. A. DeVore, G. G. Lorentz, Constructive Approximation, Springer-Verlag Berlin Heidelberg, 1993.
  6. M. Floater, On the convergence of derivatives of Bernstein approximation, J. Approx. Theory, vol. 134, 2005, 130-135.
  7. H. Gonska, M. Heilmann, I. Raşa, Kantorovich operators of order k, Numer. Funct. Anal. Optim., vol. 32, no. 7, 2011, 717-738.
  8. H. Gonska, R. Păltănea, General Voronovskaya and Asymptotic Theorems in Simultaneous Approximation, Mediterr. J. Math., vol. 7, 2010, 37-49.
  9. H. Gonska, R. Păltănea, Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions, Czech. Math. J., vol. 60, no. 3, 2010, 783-799.
  10. L. V. Kantorovich, Sur certain developpements suivant les polynomes de la forme de S. Bernstein, I, II. C. R. Acad. URSS, 1930, 563-568.
  11. H. B. Knoop, P. Pottinger, Ein Satz vom Korovkin-Typ fur Ck- Raume, Math. Z., vol. 148, 1976, 23-32.
  12. R. Păltănea, A note on generalized Bernstein-Kantorovich operators, Bulletin of the Transilvania University of Braşov, vol. 6, no. 2, 2013, 27-32.
  13. Bl. Sendov, V. Popov, The convergence of the derivatives of positive linear operators (in Russian), C.R. Acad. Bulgare Sci., vol. 22, 1969, 507-509.
  14. D. D. Stancu, Asupra unei generalizări a polinoamelor lui Bernstein (in romanian), Stud. Univ. Babes-Bolyai Ser. Math. Phys., 1969, 31-45.
  15. B. I. Vasian, Approximation Properties of Some Nonpositive Kantorovich Type Operators, 2022 Proceedings of International E-Conference on Mathematical and Statistical Sciences: A Sel cuk Meeting, 2022, 188-194.
  16. B. I. Vasian, Voronovskaja type theorem for some nonpositive Kantorovich type operators, Carpathian Journal of Mathematics vol. 40, no. 1, 2024, 187-194.
DOI: https://doi.org/10.2478/gm-2024-0014 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 67 - 83
Submitted on: Dec 8, 2024
Accepted on: Dec 31, 2024
Published on: May 15, 2025
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2025 Bianca Ioana Vasian, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.