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Quasi-monotone weig...
Quasi-monotone weight functions and their characteristics and applications
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- Persson, Lars-Erik (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Samko, Natasha (author)
- Instituto Superior Tecnico, Research center CEAF
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- Wall, Peter (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- Element d.o.o. 2012
- 2012
- English.
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In: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 15:3, s. 685-705
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https://doi.org/10.7...
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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