Timeline for Two variable polynomials that behave like Lagrange polynomials
Current License: CC BY-SA 4.0
3 events
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| Jan 26, 2022 at 14:28 | comment | added | Iosif Pinelis | @AliBagheri : Your question was "Do there exist two variable polynomials $P_i(x,y)$ with minimal degree such that $P_i(z_j)=\delta_{ij}$?" The answer above shows that the set of all polynomials $P_i(x,y)$ such that $P_i(z_j)=\delta_{ij}$ is nonempty. Selecting a polynomial of the minimal degree in this set of polynomials thus provides an affirmative answer to your question. Of course, one can be interested in an explicit construction of such a minimal-degree polynomial -- but that would be a question different from the one you asked. | |
| Jan 26, 2022 at 7:03 | comment | added | ABB | That is a great idea. How can we sure concerning with degree minimality? | |
| Jan 25, 2022 at 17:49 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |