A Concise Formula for Two Dimensional Divided Differences with Multiple Knots
Abstract
The well-known formulas for divided differences in the case
of one and two dimensional with multiple knots have played an important
role in applied mathematics, particularly in numerical analysis,
polynomial and lagrange interpolations. In this article we obtain a new
formula for two dimensional divided differences in the case of multiple
knots. This formula has a simpler form than the known formula given
in literature. It is friendly using for computations and analysis.
of one and two dimensional with multiple knots have played an important
role in applied mathematics, particularly in numerical analysis,
polynomial and lagrange interpolations. In this article we obtain a new
formula for two dimensional divided differences in the case of multiple
knots. This formula has a simpler form than the known formula given
in literature. It is friendly using for computations and analysis.
Keywords
Divided difference, multiple knots, one and two dimensional divided differences
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