‘Incomplete’ Pál Type Interpolation on Nonuniformly Distributed Nodes

Abstract

In this paper, we have studied regularity of some "incomplete" Pál type interpolation problems on non-uniformly distributed nodes. We have omitted real and complex nodes from set of non-uniformly distributed nodes. These types of Pál type interpolation problems are different from the problems, where one or two nodes are added to the set of interpolation points.

A New Class of Pâl Type Interpolation in Complex Plane-Ii

“…Also, they assessed the maximum number of nodes that can be added at value nodes to get regular P T IP [16]. They studied the regularity of 'incomplete' P T IP for several pairs, where they omitted real as well as complex nodes from zeros of certain polynomials [17,18]. The author [19] defined a new class of Pál type interpolation obtained by adding a real node to one set of interpolation points and omitting a real node from another set of interpolation points.…”