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Approximation by Szász type operators including Sheffer polynomials

Rao N., Wafi A., Deepmala A.

Journal of Mathematics and Applications

2017

Vol. 40

135--148

In present article, we discuss voronowskaya type theorem, weighted approximation in terms of weighted modulus of continuity for Szász type operators using Sheffer polynomials. Lastly, we investigate statistical approximation for these sequences.

Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators

Mursaleen M., Nasiruzzaman M., Wafi A.

Demonstratio Mathematica

2017

Vol. 50, nr 1

175--189

In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modied operators introduced by Atakut with the help of the q-Appell polynomials. We obtain some approximation results via the well-known Korovkin’s theorem for these operators. We also study convergence properties by using the modulus of continuity and the rate of convergence of the operators for functions belonging to the Lipschitz class. Moreover, we study the rate of convergence in terms of modulus of continuity of these operators in a weighted space.