Interpolational $(L,M)$-rational integral fraction on a continual set of nodes

Abstract

In the paper, an integral rational interpolant on a continual set of nodes, which is the ratio of a functional polynomial of degree $L$ to a functional polynomial of degree $M$, is constructed and investigated. The resulting interpolant is one that preserves any rational functional of the resulting form.

Keywords

• interpolation
• functional polynomial
• continual set of nodes
• chain fraction
• rational fraction