@inbook{3f2ccaf4e192473bafacded5c2260aa8,
title = "Conditions on shape preserving of stationary polynomial reproducing subdivision schemes",
abstract = "A stationary subdivision scheme reproducing polynomials is called a quasi-interpolatory scheme. In this paper, we study local conditions on the initial control points which guarantee preservation of monotonicity and convexity for a class of quasi-interpolatory subdivision schemes.",
keywords = "Convexity preservation, Monotonicity preservation, Polynomial reproduction, Quasi-interpolant, Subdivision scheme",
author = "Kim, {Yeon Hyang}",
note = "Funding Information: This work was supported by the Central Michigan University FRCE Research Type A Grant #C48143. The author thanks to Dr. B. Jeong for many helpful discussions during his visit to Central Michigan University. The author also thanks the referee for valuable comments. Publisher Copyright: {\textcopyright} 2018 American Mathematical Society.",
year = "2018",
doi = "10.1090/conm/706/14206",
language = "English",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "283--291",
booktitle = "Contemporary Mathematics",
}