On the Keller limit and generalization
Abstract Let c be any real number and let u n ( c ) = ( n + 1 ) ( 1 + 1 n + c ) n + c − n ( 1 + 1 n + c − 1 ) n + c − 1 − e . $$u_{n}(c)=(n+1) \biggl(1+\frac{1}{n+c} \biggr)^{n+c}-n \biggl(1+\frac {1}{n+c-1} \biggr)^{n+c-1}-e. $$ In this note, we establish an integral expression of u n ( c ) $u_{n}(...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-03-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1042-z |