Yilmaz, Ovgu GurelOstrovska, SofiyaTuran, MehmetMathematics2024-07-052024-07-0520240022-247X1096-081310.1016/j.jmaa.2024.1284632-s2.0-85192233885https://doi.org/10.1016/j.jmaa.2024.128463https://hdl.handle.net/20.500.14411/2265The present work aims to establish the shape-preserving properties of the limit q- Durrmeyer operator, D q for 0 < q < 1. It has been proved that the operator is monotonicity- and convexity-preserving. What is more, it maps a function m - convex along {q (j)}(infinity)(j =0) to a function m - convex along any sequence { xq( j )}(infinity)(j =0) , x is an element of (0, 1). (c) 2024 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessq-Bernstein operatorq-Durrmeyer operatorq-differencesShape-preserving propertyArticleQ2Q25391WOS:0012400498000010