Bivariate general Appell interpolation problem
Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli
Abstract
Abstract In this paper, the solution to a bivariate Appell interpolation problem proposed in a previous work is given. Bounds of the truncation error are considered. Ten new interpolants for real, regular, bivariate functions are constructed. Numerical examples and comparisons with bivariate Bernstein polynomials are considered.
Topics & Concepts
Bivariate analysisMathematicsInterpolation (computer graphics)Truncation errorTruncation (statistics)Applied mathematicsTheory of computationBirkhoff interpolationPolynomial interpolationMathematical analysisLinear interpolationStatisticsAlgorithmComputer sciencePolynomialAnimationComputer graphics (images)Mathematical functions and polynomialsAdvanced Numerical Analysis TechniquesFractional Differential Equations Solutions