Extensions and improvements of Sherman’s and related inequalities forn-convex functions

Slavica Ivelić Bradanović, and Josip Pečarić. "Extensions and improvements of Sherman’s and related inequalities forn-convex functions." Open Mathematics 15.1 (2017): 936-947. <http://eudml.org/doc/288590>.

@article{SlavicaIvelićBradanović2017,
abstract = {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.},
author = {Slavica Ivelić Bradanović, Josip Pečarić},
journal = {Open Mathematics},
keywords = {Sherman inequality; Majorization inequality; Jensen inequality; n-convex; Green functions; Fink identity; Čebyšev functional; Means},
language = {eng},
number = {1},
pages = {936-947},
title = {Extensions and improvements of Sherman’s and related inequalities forn-convex functions},
url = {http://eudml.org/doc/288590},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Slavica Ivelić Bradanović
AU - Josip Pečarić
TI - Extensions and improvements of Sherman’s and related inequalities forn-convex functions
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 936
EP - 947
AB - 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.
LA - eng
KW - Sherman inequality; Majorization inequality; Jensen inequality; n-convex; Green functions; Fink identity; Čebyšev functional; Means
UR - http://eudml.org/doc/288590
ER -