Quasi-interpolation is a well-known technique to construct accurate approximants to a given set of data or a given function by means of a local approach. A quasi-interpolant is usually obtained as a linear combination of a given system of blending functions that form a convex partition of unity and possess a small local support. These properties ensure both numerical stability and local control...

In this paper, some applications of our earlier results in working with chemical graphs are presented.

This paper studies centralized and decentralized assortment planning problems for a product category with heterogenous product types from two brands. We model consumer choices in such a product category by two hierarchical choice models: a brand-primary choice model in which consumers choose a brand …rst, then a product type in the chosen brand, and a type-primary choice model in which consumer...

In this paper we consider spaces of bivariate splines of bi–degree (m,n) with maximal order of smoothness over domains associated to a two–dimensional grid. We define admissible classes of domains for which suitable combinatorial technique allows us to obtain the dimension of such spline spaces and the number of tensor–product B–splines acting effectively on these domains. Following the strateg...