Browsing by Subject "q-Bernstein operator"
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On the continuity in q of the family of the limit q-Durrmeyer operators
(De Gruyter, 2024)This study deals with the one-parameter family {D-q}(q is an element of[0,1]) of Bernstein-type operators introduced by Gupta and called the limit q-Durrmeyer operators. The continuity of this family with respect to the ... -
Shape-preserving properties of the limit q-Durrmeyer operator
(Elsevier, 2024)The present work aims to establish the shape-preserving properties of the limit q-Durrmeyer operator, Dq for 0<q<1. It has been proved that the operator is monotonicity- and convexity-preserving. What is more, it maps a ...