A Note on the Differences of Two Positive Linear Operators
Year 2019,
Volume: 2 Issue: 1, 1 - 7, 01.03.2019
Gancho Tachev
,
Vijay Gupta
Abstract
In the present note we find the general estimate in terms of Paltanea's modulus of continuity. In the end, we consider some examples and we apply our result for such examples to obtain the quantitative estimates for the difference of operators.
References
- [1] T. Acar, A. Aral and I. Raşa: The new forms of Voronovskaja’s theorem in weighted spaces, Positivity 20 (2016), 25-40.
- [2] A. M. Acu and I. Raşa: New estimates for differences of positive linear operators, Numer. Algor. 73 (2016), 775-789.
- [3] A. Aral, D. Inoan and I. Raşa: On differences of linear positive operators, Anal. Math. Phys. doi 13324-018-0227-7.
- [4] H. Gonska, P. Pitul and I. Raşa: On differences of positive linear operators, Carpathian J. Math. 22(1-2) (2006), 65-78.
- [5] H. Gonska, and I. Raşa: Differences of positive linear operators and the second order modulus, Carpathian J. Math. 24(3)
(2008), 332-340.
- [6] V. Gupta: Differences of operators of Lupaş type, Constructive Mathematical Analysis 1(1) (2018), 9-14.
- [7] V. Gupta, T. M. Rassias, P. N. Agrawal and A. M. Acu: Recent Advances in Constructive Approximation Theory,
Springer, Cham. (2018).
- [8] V. Gupta and G. Tachev: General form of Voronovskaja’s theorem in terms of weighted modulus of continuity, Results
Math 69 (3-4) (2016), 419-430.
- [9] V. Gupta and G. Tachev: Approximation with Positive Linear Operators and Linear Combinations, Springer, Cham.
2017.
- [10] R. Paltanea: Estimates of approximation in terms of a weighted modulus of continuity, Bull. Transilvania Univ. of Brasov
4 (53) (2011), 67-74.
Year 2019,
Volume: 2 Issue: 1, 1 - 7, 01.03.2019
Gancho Tachev
,
Vijay Gupta
References
- [1] T. Acar, A. Aral and I. Raşa: The new forms of Voronovskaja’s theorem in weighted spaces, Positivity 20 (2016), 25-40.
- [2] A. M. Acu and I. Raşa: New estimates for differences of positive linear operators, Numer. Algor. 73 (2016), 775-789.
- [3] A. Aral, D. Inoan and I. Raşa: On differences of linear positive operators, Anal. Math. Phys. doi 13324-018-0227-7.
- [4] H. Gonska, P. Pitul and I. Raşa: On differences of positive linear operators, Carpathian J. Math. 22(1-2) (2006), 65-78.
- [5] H. Gonska, and I. Raşa: Differences of positive linear operators and the second order modulus, Carpathian J. Math. 24(3)
(2008), 332-340.
- [6] V. Gupta: Differences of operators of Lupaş type, Constructive Mathematical Analysis 1(1) (2018), 9-14.
- [7] V. Gupta, T. M. Rassias, P. N. Agrawal and A. M. Acu: Recent Advances in Constructive Approximation Theory,
Springer, Cham. (2018).
- [8] V. Gupta and G. Tachev: General form of Voronovskaja’s theorem in terms of weighted modulus of continuity, Results
Math 69 (3-4) (2016), 419-430.
- [9] V. Gupta and G. Tachev: Approximation with Positive Linear Operators and Linear Combinations, Springer, Cham.
2017.
- [10] R. Paltanea: Estimates of approximation in terms of a weighted modulus of continuity, Bull. Transilvania Univ. of Brasov
4 (53) (2011), 67-74.