Approximation by Baskakov-Durrmeyer operators based on $(p,q)$-integers

In: Mathematica Slovaca, vol. 68, no. 4

Tuncer Acar - Ali Aral - Mohammad Mursaleen

Detaily:

Rok, strany: 2018, 897 - 906

Kľúčové slová:

$\left(p,q\right)$-integers, $\left(p,q\right)$-Gamma function, $\left(p,q\right)$-Baskakov-Durrmeyer operators, rate of convergence

DOI: https://doi.org/10.1515/ms-2017-0153

O článku:

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 $x$.

Ako citovať:

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

O vydaní:

Publikované: 10. 8. 2018