Some inequalities connected with the exponential function
Archivum mathematicum, Tome 44 (2008) no. 3, pp. 217-222
The paper is devoted to some functional inequalities related to the exponential mapping.
The paper is devoted to some functional inequalities related to the exponential mapping.
Classification :
26D05, 26E60, 39B62
Keywords: exponential function; functional inequality; logarithmic mean
Keywords: exponential function; functional inequality; logarithmic mean
@article{ARM_2008_44_3_a5,
author = {Fechner, W{\l}odzimierz},
title = {Some inequalities connected with the exponential function},
journal = {Archivum mathematicum},
pages = {217--222},
year = {2008},
volume = {44},
number = {3},
mrnumber = {2462977},
zbl = {1212.39040},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2008_44_3_a5/}
}
Fechner, Włodzimierz. Some inequalities connected with the exponential function. Archivum mathematicum, Tome 44 (2008) no. 3, pp. 217-222. http://geodesic.mathdoc.fr/item/ARM_2008_44_3_a5/
[1] Alsina, C., Garcia-Roig, J. L.: On some inequalities characterizing the exponential function. Arch. Math. (Brno) 26 (1990), 67–71. | MR | Zbl
[2] Alsina, C., Ger, R.: On some inequalities and stability results related to the exponential function. J. Inequal. Appl. 2 (1998), 373–380. | MR | Zbl
[3] Carlson, B. C.: The logarithmic mean. Amer. Math. Monthly 79 (1972), 615–618. | DOI | MR | Zbl
[4] Poonen, B.: Solution to problem E3127-1986. Amer. Math. Monthly 95 (1988), 457. | MR
[5] Shelupsky, D. J.: Problem E3127. Amer. Math. Monthly 93 (1986), 60.