JENSEN, HOLDER, MINKOWSKI, JENSEN-STEFFENSEN AND SLATER-PECARIC INEQUALITIES DERIVED THROUGH N-QUASICONVEXITY

被引:6
作者
Abramovich, Shoshana [1 ]
机构
[1] Univ Haifa, Dept Math, IL-31999 Haifa, Israel
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2016年 / 19卷 / 04期
关键词
Jensen's inequality; Holder's inequality; Minkowski inequality; convex function; gamma-quasiconvex functions; N-quasiconvex functions; superquadratic functions;
D O I
10.7153/mia-19-89
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Jensen, Holder, Minkowski, Jensen-Steffensen and Slater-Pecaric type inequalities derived by the properties of gamma-quasiconvex functions that we deal with here, can be seen as analog to these for superquadratic functions and refinements of these for convex functions.
引用
收藏
页码:1203 / 1226
页数:24
相关论文
共 19 条
[1]   Jensen-Steffensen's and related inequalities for superquadratic functions [J].
Abramovich, S. ;
Banic, S. ;
Matic, M. ;
Pecaric, J. .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (01) :23-41
[2]   A variant of Jensen-Steffensen's inequality and quasi-arithmetic means [J].
Abramovich, S ;
Bakula, MK ;
Matic, M ;
Pecaric, J .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 307 (01) :370-386
[3]   ON γ-QUASICONVEXITY, SUPERQUADRACITY AND TWO-SIDED REVERSED JENSEN TYPE INEQUALITIES [J].
Abramovich, S. ;
Persson, L. -E. ;
Samko, N. .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02) :615-628
[4]   SOME NEW SCALES OF REFINED JENSEN AND HARDY TYPE INEQUALITIES [J].
Abramovich, S. ;
Persson, L. E. ;
Samko, N. .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (03) :1105-1114
[5]  
ABRAMOVICH S., 2008, INT SERIES NUMERICAL, V157, P217
[6]  
Abramovich S., 2004, Bull. Math. Soc. Sci. Math. Roum., N. S., V47, P3
[7]   Some new estimates of the 'Jensen gap' [J].
Abramovich, Shoshana ;
Persson, Lars-Erik .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, :1-9
[8]   Bounds for the normalised Jensen functional [J].
Dragomir, Sever S. .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 74 (03) :471-478
[9]  
HARDY GH, 1964, INEQUALITIES
[10]   ON A REFINED HOLDER'S INEQUALITY [J].
Kwon, E. G. ;
Bae, J. E. .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (01) :261-268