Have a personal or library account? Click to login
Quantitative results for positive linear operators which preserve certain functions Cover

Quantitative results for positive linear operators which preserve certain functions

Open Access
|Mar 2020

References

  1. [1] D. Cardenas-Morales, P. Garrancho, I. Raşa, Bernstein-type operators which preserve polynomials, Comput. Math. Appl. 62, 2011, 158-163.10.1016/j.camwa.2011.04.063
  2. [2] W. Chen: On the modified Bernstein-Durrmeyer operators, Report of the Fifth Chinese Conference on Approximation Theory, Zhen Zhou, China, 1987.
  3. [3] G. Freud, On approximation by positive linear methods I, II, Stud. Sci. Math. Hung. 2, 1967, 63-66; 3, 1968, 365-370.
  4. [4] T.N.T. Goodman, A. Sharma, A modified Bernstein-Schoenberg operator, in: Proc. of the Conference on Constructive Theory of Functions, Varna 1987 (ed. by Sendov et al.), Sofia Publ. House Bulg. Acad. of Sci. 1988, 166-173.
  5. [5] S. Karlin, W. Studden, Tchebyche Systems: with Applications in Analysis and Statistics, Interscience, New York, 1966.
  6. [6] R. Paltanea, Optimal estimates with modulus of continuity, Result. Math. 32, 1997, 318-331.10.1007/BF03322143
  7. [7] R. Paltanea, Estimates with adapted moduli of continuity for a Chebyshev system, Proc. of Int. Conf. Numerical Analysis and Approximation Theory (O. Agratini and P. Blaga Eds), Cluj-Napoca, July 4-8, 2006, 337-352.
  8. [8] O. Shisha, B. Mond, The degree of convergence of sequences of linear positive operators, Proc. Nat. Acad. Sci. U.S.A. 60, 1968, 1196-1200.10.1073/pnas.60.4.119622490316591683
DOI: https://doi.org/10.2478/gm-2019-0017 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 85 - 95
Submitted on: Oct 24, 2019
Accepted on: Nov 18, 2019
Published on: Mar 20, 2020
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Marius-Mihai Birou, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.