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MMN-1221

Note on a $q$-analogue of Stancu-Kantorovich operators

Ana Maria Acu; Dan Bărbosu; Daniel Florin Sofonea;

Abstract

The goal of this paper is to introduce new q-Stancu-Kantorovich operators and to study some of their approximation properties. A convergence theorem using the well known Bohman-Korovkin criterion is proven and the rate of convergence involving the modulus of continuity is established. Furthermore, a Voronovskaja type theorem is also proven.


Vol. 16 (2015), No. 1, pp. 3-15
DOI: 10.18514/MMN.2015.1221


Download: MMN-1221