Generalizations of some results given in [1] and [5] are presented and it is shown that, after appropriate substitution, one of the results is equivalent to an inequality given in [10]. We also construct new families of exponentially convex functions and Cauchy-type means by looking at linear functionals associated with the obtained inequalities.
Publié le : 2014-10-26
Classification:
Non-increasing sequence in weighted mean, Wright-convex function, n-exponential convexity, Cauchy means,
26D15,26A51
@article{mc217,
author = {Khalid, Sadia and Pe\v cari\'c, Josip and Praljak, Marjan},
title = {On an inequality of I. Peri\'c},
journal = {Mathematical Communications},
volume = {19},
number = {1},
year = {2014},
pages = { 221-242},
language = {eng},
url = {http://dml.mathdoc.fr/item/mc217}
}
Khalid, Sadia; Pečarić, Josip; Praljak, Marjan. On an inequality of I. Perić. Mathematical Communications, Tome 19 (2014) no. 1, pp. 221-242. http://gdmltest.u-ga.fr/item/mc217/