This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen’s inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.
@article{bwmeta1.element.doi-10_1515_math-2017-0077,
author = {Slavica Iveli\'c Bradanovi\'c and Josip Pe\v cari\'c},
title = {Extensions and improvements of Sherman's and related inequalities forn-convex functions},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {936-947},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0077}
}
Slavica Ivelić Bradanović; Josip Pečarić. Extensions and improvements of Sherman’s and related inequalities forn-convex functions. Open Mathematics, Tome 15 (2017) pp. 936-947. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0077/