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A Note on the Differences of Two Positive Linear Operators

Year 2019, , 1 - 7, 01.03.2019
https://doi.org/10.33205/cma.469114

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, , 1 - 7, 01.03.2019
https://doi.org/10.33205/cma.469114

Abstract

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.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Gancho Tachev

Vijay Gupta

Publication Date March 1, 2019
Published in Issue Year 2019

Cite

APA Tachev, G., & Gupta, V. (2019). A Note on the Differences of Two Positive Linear Operators. Constructive Mathematical Analysis, 2(1), 1-7. https://doi.org/10.33205/cma.469114
AMA Tachev G, Gupta V. A Note on the Differences of Two Positive Linear Operators. CMA. March 2019;2(1):1-7. doi:10.33205/cma.469114
Chicago Tachev, Gancho, and Vijay Gupta. “A Note on the Differences of Two Positive Linear Operators”. Constructive Mathematical Analysis 2, no. 1 (March 2019): 1-7. https://doi.org/10.33205/cma.469114.
EndNote Tachev G, Gupta V (March 1, 2019) A Note on the Differences of Two Positive Linear Operators. Constructive Mathematical Analysis 2 1 1–7.
IEEE G. Tachev and V. Gupta, “A Note on the Differences of Two Positive Linear Operators”, CMA, vol. 2, no. 1, pp. 1–7, 2019, doi: 10.33205/cma.469114.
ISNAD Tachev, Gancho - Gupta, Vijay. “A Note on the Differences of Two Positive Linear Operators”. Constructive Mathematical Analysis 2/1 (March 2019), 1-7. https://doi.org/10.33205/cma.469114.
JAMA Tachev G, Gupta V. A Note on the Differences of Two Positive Linear Operators. CMA. 2019;2:1–7.
MLA Tachev, Gancho and Vijay Gupta. “A Note on the Differences of Two Positive Linear Operators”. Constructive Mathematical Analysis, vol. 2, no. 1, 2019, pp. 1-7, doi:10.33205/cma.469114.
Vancouver Tachev G, Gupta V. A Note on the Differences of Two Positive Linear Operators. CMA. 2019;2(1):1-7.