Abstract
The focus of the research is to obtain reccurence formulas for the bivariate Lagrange interpolation polynomials, similar to the reccurence formulas verified by the univariate Lagrange interpolation polynomials.
Highlights
The bivariate Lagrange interpolation problem is very old and its classical solution is well known
The focus of the research is to obtain reccurence formulas for the bivariate Lagrange interpolation polynomials, similar to the reccurence formulas verified by the univariate Lagrange interpolation polynomials
It is well known that the Lagrange univariate polynomial can be expressed in terms of univariate divided differences and many nice properties of above polynomials follow using the properties of the univariate divided differences[8,9,10,11]
Summary
The bivariate Lagrange interpolation problem is very old and its classical solution is well known. Using the definition from[7], in[2] were investigated some properties of the bivariate divided differences. In the same paper[2], following the method of parametric extensions, the bivariate Lagrange interpolation polynomials were expressed in terms of bivariate divided differences and some of them approximation properties were recovered. In[2], using the method of parametric extensions, the polynomial Lm,n f(x, y) was expressed in terms of bivariate divided differences under the form: Lm,nf (x, y) = f (x0, y0 ) +
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
