‘Incomplete’ Pál type interpolation problems on zeros of polynomials with complex coefficients

Abstract

We termed the Pál type interpolation problem as PTIP. Here we studied the regularity of (0,1)-PTIP and (0,2)-PTIP, where we omitted a real or complex node from a set of zeros of polynomials with complex coefficients.

Keywords

• Lacunary polynomial interpolation
• ‘Incomplete’ Pál type interpolation
• Non-uniformly distributed nodes
• Regularity
• Value nodes and derivative nodes