In: Mathematica Slovaca, vol. 68, no. 4
Tuncer Acar - Ali Aral - Mohammad Mursaleen
Details:
Year, pages: 2018, 897 - 906
Keywords:
$\left(p,q\right)$-integers, $\left(p,q\right)$-Gamma function, $\left(p,q\right)$-Baskakov-Durrmeyer operators, rate of convergence
About article:
In the present paper, we introduce a new sequence of linear positive operators based on $(p,q)$-integers. To approximate functions over unbounded intervals, we introduce Baskakov-Durrmeyer type operators using the $(p,q)$-Gamma function. We investigate rate of convergence of new operators in terms of modulus of continuities and obtain their approximation behavior for the functions belonging to Lipschitz class. At the end, we present a modification of new operators preserving the test function $x$.
How to cite:
ISO 690:
Acar, T., Aral, A., Mursaleen, M. 2018. Approximation by Baskakov-Durrmeyer operators based on $(p,q)$-integers. In Mathematica Slovaca, vol. 68, no.4, pp. 897-906. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0153
APA:
Acar, T., Aral, A., Mursaleen, M. (2018). Approximation by Baskakov-Durrmeyer operators based on $(p,q)$-integers. Mathematica Slovaca, 68(4), 897-906. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0153
About edition:
Published: 10. 8. 2018