Timeline for Given any sequence of interpolating nodes, can we find a continuous function $f$ whose interpolating polynomials doesn't converge to $f$ point-wise
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Sep 23, 2018 at 22:55 | history | bounty ended | user521337 | ||
Sep 20, 2018 at 12:23 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
added links to papers
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Sep 19, 2018 at 5:54 | comment | added | user111 | @user521337 Here are the references: G. Griinwald, Uber Divergenzerscheinungen der Lagrangeschen Interpolationspolynome stetiger Funktionen, Ann. of Math. 37 (1936), 908-918. J. Marcinkiewicz, Sur la divergence des polynomes d'interpolation, Acta Sci. Math. (Szeged) 8 (1937), 131-135. I don't know of any other proof of the result by Erdos and Vertesi. | |
Sep 18, 2018 at 21:42 | vote | accept | user521337 | ||
Sep 18, 2018 at 21:29 | comment | added | user521337 | could you please add a reference to that result by Marcinkiewiz and Grunwald ? Also ... has there been any other proofs of that result by Erdos and Vertesi ? | |
Sep 18, 2018 at 12:55 | history | answered | user111 | CC BY-SA 4.0 |