Jackson-Favard type problems for the weight exp⁡(−|x|) on the real line

Autor: József Szabados
Rok vydání: 2020
Předmět:
Zdroj: Journal of Mathematical Analysis and Applications. 485:123807
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.123807
Popis: It is known that the Jackson-Favard inequality on polynomial approximation with respect to the weight exp ⁡ ( − | x | ) fails to hold [6] . We show that this phenomenon holds for higher derivatives as well, while a modified version suggested by Lubinsky can be established.
Databáze: OpenAIRE