Sökning: id:"swepub:oai:DiVA.org:ltu-10062" >
Inequalities for av...
Inequalities for averages of quasiconvex and superquadratic functions
-
- Abramovich, Shoshana (författare)
- Department of Mathematics, University of Haifa
-
- Persson, Lars-Erik (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
-
(creator_code:org_t)
- Element d.o.o. 2016
- 2016
- Engelska.
-
Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 19:2, s. 535-550
- Relaterad länk:
-
http://files.ele-mat...
-
visa fler...
-
https://urn.kb.se/re...
-
https://doi.org/10.7...
-
visa färre...
Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas