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Quasi-monotone weight functions and their characteristics and applications
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Instituto Superior Tecnico, Research center CEAF.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
2012 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 15, no 3, p. 685-705Article in journal (Refereed) Published
Abstract [en]

A weight function w(x) on (0,l) or (l,infinity), is said to be quasi-monotone if w(x)x(-a0) <= C(0)w(y)y(-a0) either for all x <= y or for all y <= x, for some a(0) is an element of R, C-0 >= 1. In this paper we discuss, complement and unify several results concerning quasi-monotone functions. In particular, some new results concerning the close connection to index numbers and generalized Bary-Stechkin classes are proved and applied. Moreover, some new regularization results are proved and several applications are pointed out, e. g. in interpolation theory, Fourier analysis, Hardy-type inequalities, singular operators and homogenization theory.

Place, publisher, year, edition, pages
2012. Vol. 15, no 3, p. 685-705
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-10794DOI: 10.7153/mia-15-61ISI: 000306591100019Scopus ID: 2-s2.0-84866392005Local ID: 9a8465b4-45b7-4020-ad85-0d6528d7725eOAI: oai:DiVA.org:ltu-10794DiVA, id: diva2:983742
Note
Validerad; 2012; 20120816 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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