Title of article
On the classes of higher-order Jensen-convex functions and Wright-convex functions
Author/Authors
Nikodem، نويسنده , , Kazimierz and Rajba، نويسنده , , Teresa and W?sowicz، نويسنده , , Szymon، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
9
From page
261
To page
269
Abstract
The classes of n -Wright-convex functions and n -Jensen-convex functions are compared with each other. It is shown that for any odd natural number n the first one is the proper subclass of the second one. To reach this aim new tools connected with measure theory are developed.
Keywords
Convex functions of higher order , Jensen-convex functions of higher order , Wright-convex functions of higher order , Backward difference , Dirac measure , Hamel basis , Forward difference
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563064
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