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http://dx.doi.org/10.4134/BKMS.2014.51.2.303

ON A SEQUENCE OF KANTOROVICH TYPE OPERATORS VIA RIEMANN TYPE q-INTEGRAL  

Bascanbaz-Tunca, Gulen (Department of Mathematics Faculty of Science Ankara University)
Erencin, Aysegul (Department of Mathematics Faculty of Arts and Sciences Abant izzet Baysal University)
Tasdelen, Fatma (Department of Mathematics Faculty of Science Ankara University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.2, 2014 , pp. 303-315 More about this Journal
Abstract
In this work, we construct Kantorovich type generalization of a class of linear positive operators via Riemann type q-integral. We obtain estimations for the rate of convergence by means of modulus of continuity and the elements of Lipschitz class and also investigate weighted approximation properties.
Keywords
Kantorovich type operator; Riemann type q-integral; weighted spaces; modulus of continuity; Lipschitz class;
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