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A new approach to t...
A new approach to the Sawyer and Sinnamon characterizations of Hardy's inequality for decreasing functions
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- Johansson, Maria (author)
- Luleå tekniska universitet,Pedagogik, språk och Ämnesdidaktik
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- Persson, Lars-Erik (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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Wedestig, Anna (author)
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(creator_code:org_t)
- 2008
- 2008
- English.
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In: Georgian Mathematical Journal. - 1072-947X .- 1572-9176. ; 15:2, s. 295-306
- 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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- Some Hardy type inequalities for decreasing functions are characterized by one condition (Sinnamon), while others are described by two independent conditions (Sawyer). In this paper we make a new approach to deriving such results and prove a theorem, which covers both the Sinnamon result and the Sawyer result for the case where one weight is increasing. In all cases we point out that the characterizing condition is not unique and can even be chosen among some (infinite) scales of conditions.
Subject headings
- SAMHÄLLSVETENSKAP -- Utbildningsvetenskap -- Didaktik (hsv//swe)
- SOCIAL SCIENCES -- Educational Sciences -- Didactics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Mathematics Education
- Matematik och lärande
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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