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Some scales of equi...
Some scales of equivalent conditions to characterize the Stieltjes inequality : the case q
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- Gogatishvili, Amiran (author)
- Institute of Mathematics of the Academy of Sciences of the Czech Republic
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- Persson, Lars-Erik (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Stepanov, Vladimir D. (author)
- Department of Mathematical Analysis, Russian Peoples' Friendship University
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- Wall, Peter (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- 2013-08-26
- 2014
- English.
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In: Mathematische Nachrichten. - : Wiley. - 0025-584X .- 1522-2616. ; 287:2-3, s. 242-253
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- We prove that the weighted Stieltjes inequality can be characterized by four different scales of conditions also for the case , . In particular, a new proof of a result of G. Sinnamon is given, which also covers the case . Moreover, for the situation at hand a new gluing theorem and also an equivalence theorem of independent interest are proved and discussed. By applying our new equivalence theorem to weighted inequalities for the Stieltjes transform we obtain the four new scales of conditions for characterization of Stieltjes inequality
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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