... proof.AcknowledgmentsThe author is indebted to the anonymous referee for many valuable comments, for acorrection of one part of the proof, and for his improving of the organization of the paper.This work was supported ... b,andpα is the best constant.Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 902432, 5 pagesdoi:10.1155/2010/902432 Research Article Proof of ... Journal of Mathematical Analysis and Applications, vol.189, no. 2, pp. 602–606, 1995.8 J. S´andor, On certain inequalities for means. II,” Journal of Mathematical Analysis and Applications,...