%0 Journal Article
%T On some inequalities for functions with nondecreasing increments of higher order
%A Asif R Khan
%A Josip Pe ari
%A and Sanja Varo anec
%J Journal of Inequalities and Applications
%D 2013
%I 
%R 10.1186/1029-242X-2013-8
%X We investigate a class of functions with nondecreasing increments of higher order. A generalization of Brunk¡¯s theorem is proved for that class of functions. Also, we consider functions with nondecreasing increments of order three, we obtain the Levinson-type inequality, a generalization of Burkill-Mirsky-Pe ari ¡¯s results, and a result for the integral mean of a function with nondecreasing increments of higher order.
%K function with nondecreasing increments of higher order
%K integral mean
%K Levinson¡¯s inequality
%K monotonicity in means
%U http://www.journalofinequalitiesandapplications.com/content/2013/1/8/abstract