$LH^\omega$-SMOOTH BUMP FUNCTIONS IN WEIGHTED ORLICZ SEQUENCE SPACES

Заглавие$LH^\omega$-SMOOTH BUMP FUNCTIONS IN WEIGHTED ORLICZ SEQUENCE SPACES
Вид публикацияJournal Article
Година на публикуване2002
АвториZlatanov B.
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том94
Pagination85-90
ISSN0205-0808
ключови думиsmooth bump function, weighted Orlicz sequence space
Резюме

An exact estimate is given for the modulus of smoothness in weighted Orlicz sequence spaces and the best order of $LH^\omega$-smoothness of bump functions is found for $\alpha \leq 2$.

2000 MSC

46B45, 46E39

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