K-FUNCTIONALS AND MODULI OF SMOOTHNESS OF FUNCTIONS DEFINED ON COMPACT METRIC-SPACES

Authors
BADEA C
Citation
C. Badea, K-FUNCTIONALS AND MODULI OF SMOOTHNESS OF FUNCTIONS DEFINED ON COMPACT METRIC-SPACES, Computers & mathematics with applications, 30(3-6), 1995, pp. 23-31
Citations number
30
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
30
Issue
3-6
Year of publication
1995
Pages
23 - 31
Database
ISI
SICI code
0898-1221(1995)30:3-6<23:KAMOSO>2.0.ZU;2-F
Abstract
One proves that Peetre's K-functional for the couple (C(X),Lip(X)) and the first order modulus of continuity are equivalent for every Peano continuum. Some inequalities for the first order modulus of continuity and the mixed modulus of smoothness of functions defined on some comp act metric spaces are proved and some possible applications are indica ted.