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
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
Journal title :
Journal of Mathematical Analysis and Applications
