Yıl 2019,
, 98 - 102, 01.09.2019
Tuncer Acar
,
Ali Aral
,
Ioan Raşa
Kaynakça
- [1] T. Acar, A. Aral, I. Raşa, Modified Bernstein-Durrmeyer operators, General Mathematics, 22 (1), 2014, 27-41.
- [2] A. Aral, D. Inoan, I. Raşa, On the generalized Szasz-Mirakyan Operators, Results in Mathematics, 65(3-4), 2014,
441–452.
- [3] D. Cárdenas-Morales, P. Garrancho, F. J. Munoz-Delgado, Shape preserving approximation by Bernstein-Type op-
erators which fix polynomials, Appl. Math. Comp. 182, 2006, 1615-1622.
- [4] D. Cárdenas-Morales, P. Garrancho, I. Raşa, Asymptotic formulae via Korovkin-type result, Abstract and Applied
Analysis, vol. 2012, Article ID 217464, 12 pages, 2012. https://doi.org/10.1155/2012/217464.
- [5] D. Cárdenas-Morales, P. Garrancho ,I. Raşa, Bernstein-type operators which preserve polynomials, Computers and Mathematics with Applications 62, 2011, 158–163.
- [6] J. P. King, Positive linear operators which preserve x2, Acta. Math. Hungar., 99, 2003, 203–208
Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$
Yıl 2019,
, 98 - 102, 01.09.2019
Tuncer Acar
,
Ali Aral
,
Ioan Raşa
Öz
In the paper we introduce a general class of linear positive approximation processes defined on bounded and unbounded intervals designed using an appropriate function. Voronovskaya type theorems are given for these new constructions. Some examples including well known operators are presented.
Kaynakça
- [1] T. Acar, A. Aral, I. Raşa, Modified Bernstein-Durrmeyer operators, General Mathematics, 22 (1), 2014, 27-41.
- [2] A. Aral, D. Inoan, I. Raşa, On the generalized Szasz-Mirakyan Operators, Results in Mathematics, 65(3-4), 2014,
441–452.
- [3] D. Cárdenas-Morales, P. Garrancho, F. J. Munoz-Delgado, Shape preserving approximation by Bernstein-Type op-
erators which fix polynomials, Appl. Math. Comp. 182, 2006, 1615-1622.
- [4] D. Cárdenas-Morales, P. Garrancho, I. Raşa, Asymptotic formulae via Korovkin-type result, Abstract and Applied
Analysis, vol. 2012, Article ID 217464, 12 pages, 2012. https://doi.org/10.1155/2012/217464.
- [5] D. Cárdenas-Morales, P. Garrancho ,I. Raşa, Bernstein-type operators which preserve polynomials, Computers and Mathematics with Applications 62, 2011, 158–163.
- [6] J. P. King, Positive linear operators which preserve x2, Acta. Math. Hungar., 99, 2003, 203–208