caa a22 4500 60546202X CHVBK 20210128100246.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10114-015-4731-5 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4731-5 Chen Mu-Fa School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, P. R. China aut The optimal constant in Hardy-type inequalities [Elektronische Daten] [Mu-Fa Chen] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Hardy-type inequality nationallicence optimal constant nationallicence variational formulas nationallicence approximating procedure nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/5(2015-05-01), 731-754 1439-8516 31:5<731 2015 31 10114 https://doi.org/10.1007/s10114-015-4731-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4731-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chen Mu-Fa School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/5(2015-05-01), 731-754 1439-8516 31:5<731 2015 31 10114