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

Year, pages: 2019, 1381 - 1394

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.

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

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

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava