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Quasi-monotone weig...
Quasi-monotone weight functions and their characteristics and applications
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- Persson, Lars-Erik (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Samko, Natasha (författare)
- Instituto Superior Tecnico, Research center CEAF
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- Wall, Peter (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- Element d.o.o. 2012
- 2012
- Engelska.
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 15:3, s. 685-705
- Relaterad länk:
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http://files.ele-mat...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.7...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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