CONTENTSIntroduction1. Approximation with nodes............................................................................................. 32. Characteristic property of the optimal polynomial......................................................... 43. Notation......................................................................................................................... 5CHAPTER I. Limit properties of approximation with nodes4. Statement of the problem.............................................................................................. 76. Qualitative results.......................................................................................................... 86. Quantitative results...................................................................................................... 117. The case of two nodes................................................................................................. 23CHAPTER II. System of optimal polynomials8. Necessary and sufficient conditions in approximation without nodes.......................... 389. Corollaries.................................................................................................................... 4610. Necessary and sufficient conditions in approximation with nodes............................. 52References....................................................................................................................... 62
@book{bwmeta1.element.zamlynska-cac0e26d-ba55-487f-af9c-abfda9638575,
author = {S. Paszkowski},
title = {On approximation with nodes},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1957},
zbl = {0083.29002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-cac0e26d-ba55-487f-af9c-abfda9638575}
}
S. Paszkowski. On approximation with nodes. GDML_Books (1957), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-cac0e26d-ba55-487f-af9c-abfda9638575/