| Title:
|
Some inequalities connected with the exponential function (English) |
| Author:
|
Fechner, Włodzimierz |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
217-222 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is devoted to some functional inequalities related to the exponential mapping. (English) |
| Keyword:
|
exponential function |
| Keyword:
|
functional inequality |
| Keyword:
|
logarithmic mean |
| MSC:
|
26D05 |
| MSC:
|
26E60 |
| MSC:
|
39B62 |
| idZBL:
|
Zbl 1212.39040 |
| idMR:
|
MR2462977 |
| . |
| Date available:
|
2009-01-29T09:15:01Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119761 |
| . |
| Reference:
|
[1] Alsina, C., Garcia-Roig, J. L.: On some inequalities characterizing the exponential function.Arch. Math. (Brno) 26 (1990), 67–71. Zbl 0735.39006, MR 1188264 |
| Reference:
|
[2] Alsina, C., Ger, R.: On some inequalities and stability results related to the exponential function.J. Inequal. Appl. 2 (1998), 373–380. Zbl 0918.39009, MR 1671909 |
| Reference:
|
[3] Carlson, B. C.: The logarithmic mean.Amer. Math. Monthly 79 (1972), 615–618. Zbl 0241.33001, MR 0302842, 10.2307/2317088 |
| Reference:
|
[4] Poonen, B.: Solution to problem E3127-1986.Amer. Math. Monthly 95 (1988), 457. MR 1541317 |
| Reference:
|
[5] Shelupsky, D. J.: Problem E3127.Amer. Math. Monthly 93 (1986), 60. |
| . |
