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Inequalities for av...
Inequalities for averages of quasiconvex and superquadratic functions
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- Abramovich, Shoshana (author)
- Department of Mathematics, University of Haifa
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- Persson, Lars-Erik (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- Element d.o.o. 2016
- 2016
- English.
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In: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 19:2, s. 535-550
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Abstract
Subject headings
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- For n ε ℤ+ we consider the difference Bn-1 (f)-Bn(f):= 1/an n-1/ηi=0 f(ai/an-1)-1/an+1 nηi=0f(ai/an) where the sequences{ai} and {ai-ai-1} are increasing. Some lower bounds are derived when f is 1-quasiconvex and when f is a closely related superquadratic function. In particular, by using some fairly new results concerning the so called "Jensen gap", these bounds can be compared. Some applications and related results about An-1 (f)-An(f):= 1/an n-1/ηi=0 f(ai/an-1)-1/an+1 nηi=0f(ai/an) are also included.
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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