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A Note on the Differences of Two Positive Linear Operators

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

Öz

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.

Kaynakça

  • [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.
Yıl 2019, , 1 - 7, 01.03.2019
https://doi.org/10.33205/cma.469114

Öz

Kaynakça

  • [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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Gancho Tachev

Vijay Gupta

Yayımlanma Tarihi 1 Mart 2019
Yayımlandığı Sayı Yıl 2019

Kaynak Göster

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. Mart 2019;2(1):1-7. doi:10.33205/cma.469114
Chicago Tachev, Gancho, ve Vijay Gupta. “A Note on the Differences of Two Positive Linear Operators”. Constructive Mathematical Analysis 2, sy. 1 (Mart 2019): 1-7. https://doi.org/10.33205/cma.469114.
EndNote Tachev G, Gupta V (01 Mart 2019) A Note on the Differences of Two Positive Linear Operators. Constructive Mathematical Analysis 2 1 1–7.
IEEE G. Tachev ve V. Gupta, “A Note on the Differences of Two Positive Linear Operators”, CMA, c. 2, sy. 1, ss. 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 (Mart 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 ve Vijay Gupta. “A Note on the Differences of Two Positive Linear Operators”. Constructive Mathematical Analysis, c. 2, sy. 1, 2019, ss. 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.