The optimal constant in Hardy-type inequalities

Verfasser / Beitragende:
[Mu-Fa Chen]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/5(2015-05-01), 731-754
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-4731-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4731-5 
100 1 |a Chen  |D Mu-Fa  |u School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, P. R. China  |4 aut 
245 1 4 |a The optimal constant in Hardy-type inequalities  |h [Elektronische Daten]  |c [Mu-Fa Chen] 
520 3 |a To estimate the optimal constant in Hardy-type inequalities, some variational formulas and approximating procedures are introduced. The known basic estimates are improved considerably. The results are illustrated by typical examples. It is shown that the sharp factor is meaningful for each finite interval and a classical sharp model is re-examined. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Hardy-type inequality  |2 nationallicence 
690 7 |a optimal constant  |2 nationallicence 
690 7 |a variational formulas  |2 nationallicence 
690 7 |a approximating procedure  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/5(2015-05-01), 731-754  |x 1439-8516  |q 31:5<731  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4731-5  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4731-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Chen  |D Mu-Fa  |u School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/5(2015-05-01), 731-754  |x 1439-8516  |q 31:5<731  |1 2015  |2 31  |o 10114