%0 Journal Article %T Subsequential Convergence Conditions %A £¿anak £¿brahim %A Totur ¨¹mit %A Dik Mehmet %J Journal of Inequalities and Applications %D 2007 %I Springer %X Let be a sequence of real numbers and let be any regular limitable method. We prove that, under some assumptions, if a sequence or its generator sequence generated regularly by a sequence in a class of sequences is a subsequential convergence condition for , then for any integer , the repeated arithmetic means of , , generated regularly by a sequence in the class , is also a subsequential convergence condition for . %U http://www.journalofinequalitiesandapplications.com/content/2007/087414