Research Article

A Survey on Estimates for the Differences of Positive Linear Operators

Volume: 1 Number: 2 November 7, 2018
EN

A Survey on Estimates for the Differences of Positive Linear Operators

Abstract

We survey some results concerning differences of positive linear operators from Approximation Theory, and present some new results in this direction.

Keywords

References

  1. [1] U. Abel, M. Ivan, Asymptotic expansion of the multivariate Bernstein polynomials on a simplex, Approx. Theory Appl. 16 (2000), 85-93.
  2. [2] A. M. Acu, I. Raşa, New estimates for the differences of positive linear operators, Numerical Algorithms 73(3) (2016), 775-789.
  3. [3] A. M. Acu, I. Raşa, Estimates for the differences of positive linear operators and their derivatives, arXiv:1810.08839v1, submitted.
  4. [4] A. Aral, D. Inoan and I. Raşa, On differences of linear positive operators, Anal. Math. Phys.(2018). DOI https://doi.org/10.1007/s1332
  5. [5] S. N. Bernstein, Démonstration du théorème de Weierstrass fondée sur le calcul des probabilités, Communications de la Société Mathematique de Kharkov, 13 (1913), 1-2.
  6. [6] W. Chen, On the modified Bernstein-Durrmeyer operator, Report of the Fifth Chinese Conference on Approximation Theory, Zhen Zhou, China, 1987.
  7. [7] H. Gonska, I. Ra¸sa, E.-D. Stanila, Beta operators with Jacobi weights, In: Constructive theory of functions, Sozopol 2013 (K. Ivanov, G. Nikolov and R. Uluchev, Eds.), 99–112. Prof. Marin Drinov Academic Publishing House, Sofia, 2014.
  8. [8] H. Gonska, I. Raşa, Differences of positive linear operators and the second order modulus, Carpathian J. Math. 24(3) (2008), 332-340.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

November 7, 2018

Submission Date

November 4, 2018

Acceptance Date

November 6, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

APA
Acu, A. M., Hodış, S., & Raşa, I. (2018). A Survey on Estimates for the Differences of Positive Linear Operators. Constructive Mathematical Analysis, 1(2), 113-127. https://doi.org/10.33205/cma.478408
AMA
1.Acu AM, Hodış S, Raşa I. A Survey on Estimates for the Differences of Positive Linear Operators. CMA. 2018;1(2):113-127. doi:10.33205/cma.478408
Chicago
Acu, Ana Maria, Sever Hodış, and Ioan Raşa. 2018. “A Survey on Estimates for the Differences of Positive Linear Operators”. Constructive Mathematical Analysis 1 (2): 113-27. https://doi.org/10.33205/cma.478408.
EndNote
Acu AM, Hodış S, Raşa I (November 1, 2018) A Survey on Estimates for the Differences of Positive Linear Operators. Constructive Mathematical Analysis 1 2 113–127.
IEEE
[1]A. M. Acu, S. Hodış, and I. Raşa, “A Survey on Estimates for the Differences of Positive Linear Operators”, CMA, vol. 1, no. 2, pp. 113–127, Nov. 2018, doi: 10.33205/cma.478408.
ISNAD
Acu, Ana Maria - Hodış, Sever - Raşa, Ioan. “A Survey on Estimates for the Differences of Positive Linear Operators”. Constructive Mathematical Analysis 1/2 (November 1, 2018): 113-127. https://doi.org/10.33205/cma.478408.
JAMA
1.Acu AM, Hodış S, Raşa I. A Survey on Estimates for the Differences of Positive Linear Operators. CMA. 2018;1:113–127.
MLA
Acu, Ana Maria, et al. “A Survey on Estimates for the Differences of Positive Linear Operators”. Constructive Mathematical Analysis, vol. 1, no. 2, Nov. 2018, pp. 113-27, doi:10.33205/cma.478408.
Vancouver
1.Ana Maria Acu, Sever Hodış, Ioan Raşa. A Survey on Estimates for the Differences of Positive Linear Operators. CMA. 2018 Nov. 1;1(2):113-27. doi:10.33205/cma.478408

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