Open AccessNew generalization of H. Alzer's inequality
Author(s) -
Zheng Liang
Publication year - 2003
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.34.2003.318
Subject(s) - mathematics , generalization , inequality , regular polygon , kantorovich inequality , class (philosophy) , hölder's inequality , log sum inequality , rearrangement inequality , convex function , pure mathematics , discrete mathematics , mathematical economics , algebra over a field , linear inequality , mathematical analysis , computer science , artificial intelligence , geometry
A new generalization of H. Alzer's inequality is proved. This inequality generalizes both results in an article by N. Elezovic and J. Pecaric (J. Math. Anal. Appl. 223 (1998), 366--369) as well as an article by Feng Qi (J. Math. Anal. Appl. 240 (1999), 294--297). It is shown that this inequality is satisfied for a large class of increasing convex sequences