Research Article

Stancu Type (p,q)-Szász-Mirakyan-Baskakov operators

Volume: 67 Number: 1 February 1, 2018
EN

Stancu Type (p,q)-Szász-Mirakyan-Baskakov operators

Abstract

In the present paper, we introduce Stancu type generalization of (p,q)-Szasz-Mirakyan-Baskakov operators and investigate their approximation properties such as weighted approximation, rate of convergence and pointwise convergence.

Keywords

References

  1. Acar, T., (p,q)-generalization of Szász-Mirakyan operators, Math. Method. Appl. Sci., 39 (10), 2016, 2685-2695.
  2. Acar, T., Agrawal, P. N. , Kumar, S., On a modification of (p,q)-Szász-Mirakyan operators, Comp. Anal. Oper. Theo., 2016, DOI: 10.1007/s11785-016-0613-9.
  3. Acar, T., Aral, A., Mohiuddine, S. A., On Kantorovich modifications of (p,q)-Baskakov operators, J. Inequal. Appl., 2016, 2016:98.
  4. Acar, T., Aral, A., Mohiuddine, Approximation by bivariate (p,q)-Bernstein-Kantorovich operators, Iran. J. Sci. Technol. Trans. A Sci., 2016, DOI: 10.1007/s40995-016-0045-4.
  5. Acar, T. Gupta, V., Aral, A., Rate of Convergence for Generalized Szász Operators, Bull. Math. Sci., 1 (1), 2011, 99-113.
  6. Devore, R. A. , Lorentz, G. G., Constructive Approximation, Springer, Berlin, 1993.
  7. Gupta, V., (p,q)-Szász-Mirakyan-Baskakov operators, Complex Anal. Oper. Theory, 2016, DOI: 10.1007/s11785-015-0521-4.
  8. Gadzhiev, A. D., Theorems of the type of P. P. Korovkin type theorems, Math. Zametki, 20 (5), 1976 781-786; English Translation, Math Notes 20 (5-6) 1976 996-998.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2018

Submission Date

December 26, 16

Acceptance Date

April 3, 2017

Published in Issue

Year 2018 Volume: 67 Number: 1

APA
Acar, T., Mursaleen, M., & Mohiuddine, S. A. (2018). Stancu Type (p,q)-Szász-Mirakyan-Baskakov operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(1), 116-128. https://izlik.org/JA96GG54XF
AMA
1.Acar T, Mursaleen M, Mohiuddine SA. Stancu Type (p,q)-Szász-Mirakyan-Baskakov operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(1):116-128. https://izlik.org/JA96GG54XF
Chicago
Acar, Tuncer, Mohammad Mursaleen, and S. A. Mohiuddine. 2018. “Stancu Type (p,q)-Szász-Mirakyan-Baskakov Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 (1): 116-28. https://izlik.org/JA96GG54XF.
EndNote
Acar T, Mursaleen M, Mohiuddine SA (February 1, 2018) Stancu Type (p,q)-Szász-Mirakyan-Baskakov operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 1 116–128.
IEEE
[1]T. Acar, M. Mursaleen, and S. A. Mohiuddine, “Stancu Type (p,q)-Szász-Mirakyan-Baskakov operators”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 1, pp. 116–128, Feb. 2018, [Online]. Available: https://izlik.org/JA96GG54XF
ISNAD
Acar, Tuncer - Mursaleen, Mohammad - Mohiuddine, S. A. “Stancu Type (p,q)-Szász-Mirakyan-Baskakov Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/1 (February 1, 2018): 116-128. https://izlik.org/JA96GG54XF.
JAMA
1.Acar T, Mursaleen M, Mohiuddine SA. Stancu Type (p,q)-Szász-Mirakyan-Baskakov operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:116–128.
MLA
Acar, Tuncer, et al. “Stancu Type (p,q)-Szász-Mirakyan-Baskakov Operators”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 1, Feb. 2018, pp. 116-28, https://izlik.org/JA96GG54XF.
Vancouver
1.Tuncer Acar, Mohammad Mursaleen, S. A. Mohiuddine. Stancu Type (p,q)-Szász-Mirakyan-Baskakov operators. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. [Internet]. 2018 Feb. 1;67(1):116-28. Available from: https://izlik.org/JA96GG54XF

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.