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Revisiting Some Pal Type Birkhoff Interpolation Problems


Affiliations
1 Department of Higher Education, OSD, India
2 Department of Mathematics, Sant Hirdaram Girls College, Bhopal, India
     

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In this paper we revisit Pal type Birkhoff interpolation for the sets consisting of zeros of polynomials with complex coefficients with two or more additional nodes at value nodes. We also evaluate regularity of (0, 2) Pal type Birkhoff interpolation on the zeros of the polynomials obtained by applying mobius transform to the zeros of roots of unity with one additional complex node at value nodes.

Keywords

Lacunary Interpolation, Non-uniformly Distributed Nodes, Pal Type Birkhoff Interpolation, Regularity, Roots of Unity
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  • Revisiting Some Pal Type Birkhoff Interpolation Problems

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Authors

A. K. Pathak
Department of Higher Education, OSD, India
Poornima Tiwari
Department of Mathematics, Sant Hirdaram Girls College, Bhopal, India

Abstract


In this paper we revisit Pal type Birkhoff interpolation for the sets consisting of zeros of polynomials with complex coefficients with two or more additional nodes at value nodes. We also evaluate regularity of (0, 2) Pal type Birkhoff interpolation on the zeros of the polynomials obtained by applying mobius transform to the zeros of roots of unity with one additional complex node at value nodes.

Keywords


Lacunary Interpolation, Non-uniformly Distributed Nodes, Pal Type Birkhoff Interpolation, Regularity, Roots of Unity

References