Sharp Power Mean Bounds for Sándor Mean. (15th January 2015)

• Record Type: Journal Article
• Authors: Chu, Yu-Ming; Yang, Zhen-Hang; Wu, Li-Min
• Other Names: Zafer Agacik Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-01-15
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/172867
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We prove that the double inequalityM p ( a, b ) < X ( a, b ) < M q ( a, b ) holds for alla, b > 0 witha ≠ b if and only ifp ≤ 1 / 3 andq ≥ l o g 2 / ( 1 + l o g 2 ) = 0.4093 …, whereX ( a, b ) andM r ( a, b ) are the Sándor andr th power means ofa andb, respectively.