Abstract
We establish an asymptotic formula for a general sequence of positive linear operators of discrete type. This class represents a generalization in q-Calculus of the operators introduced by C. Mastroianni, the construciton taking its origin in a paper of Baskakov. We also mark out Voronovskaja-type formulae for two particular cases which are q-extensions of the Szasz-Mirakjan operator and the ordinary Baskakov operator.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Cristina Radu
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Linear positive operator, q-integers, Voronovskaja-type formula.
Paper coordinates
O. Agratini, C. Radu, Asymptotic formulae for Baskakov-Mastroianni operators based on q-integers, Supllemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 82 (2010), pag. 195-206
About this paper
Journal
Supllemento ai Rendiconti del Circolo Matematico di Palermo, Serie II
Publisher Name
Springer
DOI
Print ISSN
Online ISSN
0009-725X
google scholar link
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