Some approximation properties of a kind of $(p,q)$-Phillips operators

In: Mathematica Slovaca, vol. 69, no. 6

Wentao Cheng - Chunyan Gui - Yongmo Hu

Detaily:

Rok, strany: 2019, 1381 - 1394

Kľúčové slová:

(p, q)-integers; (p, q)-Phillips operators; rate of convergence; modulus of continuity

DOI: https://doi.org/10.1515/ms-2017-0315

O článku:

In this paper, a kind of new analogue of Phillips operators based on $(p,q)$-integers is introduced. The moments of the operators are established. Then some local approximation for the above operators is discussed. Also, the rate of convergence and weighted approximation by these operators by means of modulus of continuity are studied. Furthermore, the Voronovskaja type asymptotic formula is investigated.

Ako citovať:

ISO 690:

Cheng, W., Gui, C., Hu, Y. 2019. Some approximation properties of a kind of $(p,q)$-Phillips operators. In Mathematica Slovaca, vol. 69, no.6, pp. 1381-1394. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0315

APA:

Cheng, W., Gui, C., Hu, Y. (2019). Some approximation properties of a kind of $(p,q)$-Phillips operators. Mathematica Slovaca, 69(6), 1381-1394. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0315

O vydaní:

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Publikované: 22. 12. 2019