Convexity of marginal functions in the discrete case
2017 (English)In: Analysis Meets Geometry: The Mikael Passare Memorial Volume / [ed] Mats Andersson, Jan Boman, Christer Kiselman, Pavel Kurasov, Ragnar Sigurdsson, Basel: Birkhäuser Verlag, 2017Chapter in book (Refereed)
We define, using difference operators, classes of functions defined on the set of points with integer coordinates, which are preserved under the formation of marginal functions. The duality between classes of functions with certain convexity properties and families of second-order difference operators plays an important role and is explained using notions from mathematical morphology.
Place, publisher, year, edition, pages
Basel: Birkhäuser Verlag, 2017.
Marginal function, discrete convexity, difference operators, A-lateral convexity, rhomboidal convexity, mathematical morphology, infimal convolution
IdentifiersURN: urn:nbn:se:uu:diva-306894ISBN: 978-3-319-52469-6 (print)OAI: oai:DiVA.org:uu-306894DiVA: diva2:1044663