Research Article

On difference of bivariate linear positive operators

Volume: 71 Number: 3 September 30, 2022
EN

On difference of bivariate linear positive operators

Abstract

In the present paper we give quantitative type theorems for the differences of different bivariate positive linear operators by using weighted modulus of continuity. Similar estimates are obtained via K-functional and for Chebyshev functionals. Moreover, an example involving Szasz and Szasz-Kantorovich operators is given.

Keywords

References

  1. Acu, A. M., Raşa, I., New estimates for the differences of positive linear operators, Numer. Algor., 73(3) (2016), 775–789. https://doi.org/10.1007/s11075-016-0117-8
  2. Acu, A. M., Hodiş, S., Raşa, I., A survey on estimates for the differences of positive linear operators, Constructive Mathematical Analysis, (1)2 (2018), 113–127. https://doi.org/10.33205/cma.478408
  3. Acu, A. M., Raşa, I., Estimates for the differences of positive linear operators and their derivatives, Numer. Algor., 85(1) (2020), 191–208. https://doi.org/10.1007/s11075-019-00809-4
  4. Acu, A. M., Başcanbaz-Tunca, G., Raşa, I., Differences of positive linear operators on simplices, Journal of Function Spaces, 2021 (2021), Article ID 5531577, 11 pages. https://doi.org/10.1155/2021/ 5531577
  5. Aral, A., Inoan, D., Raşa, I., On differences of linear positive operators, Analysis and Mathematical Physics, (9)3 (2019), 1227–1239. https://doi.org/10.1007/s13324-018-0227-7
  6. Aral, A., Erbay, H., A note on the difference of positive operators and numerical aspects, Mediterr. J. Math., 17(45) (2020), 20 pp. https://doi.org/10.1007/s00009-020-1489-5
  7. Bartle, R. G., The Elements of Real Analysis, John Wiley & Sons Ltd, 1964.
  8. Begen, S., Ince Ilarslan, H. G., Degree of approximation for bivariate Szazs-Kantorovich type based on Brenke type polynomials, Honam Math. J., (2020), 42(2), 251–268. https://doi.org/10.5831/HMJ.2020.42.2.251

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 30, 2022

Submission Date

September 7, 2021

Acceptance Date

January 31, 2022

Published in Issue

Year 2022 Volume: 71 Number: 3

APA
Aremu, S. O., & Olgun, A. (2022). On difference of bivariate linear positive operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(3), 791-805. https://doi.org/10.31801/cfsuasmas.992524
AMA
1.Aremu SO, Olgun A. On difference of bivariate linear positive operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(3):791-805. doi:10.31801/cfsuasmas.992524
Chicago
Aremu, Saheed Olaosebikan, and Ali Olgun. 2022. “On Difference of Bivariate Linear Positive Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (3): 791-805. https://doi.org/10.31801/cfsuasmas.992524.
EndNote
Aremu SO, Olgun A (September 1, 2022) On difference of bivariate linear positive operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 3 791–805.
IEEE
[1]S. O. Aremu and A. Olgun, “On difference of bivariate linear positive operators”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 3, pp. 791–805, Sept. 2022, doi: 10.31801/cfsuasmas.992524.
ISNAD
Aremu, Saheed Olaosebikan - Olgun, Ali. “On Difference of Bivariate Linear Positive Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/3 (September 1, 2022): 791-805. https://doi.org/10.31801/cfsuasmas.992524.
JAMA
1.Aremu SO, Olgun A. On difference of bivariate linear positive operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:791–805.
MLA
Aremu, Saheed Olaosebikan, and Ali Olgun. “On Difference of Bivariate Linear Positive Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 3, Sept. 2022, pp. 791-05, doi:10.31801/cfsuasmas.992524.
Vancouver
1.Saheed Olaosebikan Aremu, Ali Olgun. On difference of bivariate linear positive operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Sep. 1;71(3):791-805. doi:10.31801/cfsuasmas.992524