Paper Information

Journal:   IRANIAN INTERNATIONAL JOURNAL OF SCIENCE   Spring 2001 , Volume 2 , Number 1; Page(s) 65 To 82.
 
Paper: 

ON APPROXIMATELY CONVEX FUNCTIONS

 
 
Author(s):  MIRZAPOUR F.*, MORASSAEI A.*
 
* and Education office of Zanjan, Zanjan, Iran.
 
Abstract: 
Following a recent work of Chademan-Mirzapour (1995&1999). we generalize the classical theorems of Jensen, Bernstein-Doetsch, Ostrowski, Blumberg-Sierpinski and Mehdi on approximately midconvex functions in real vactor spaces to approximately midconvex functions on topological groups. We define also E -Wright-convexity in topological groups and prove a theorem on it
 
Keyword(s): APPROXIMATELY CONVEX FUNCTIONS, BERNSTEIN-DOETSCH THEOREM, JENSEN STHEOREM, OSTROWSKI S THEOREM, BLUMBERG-SIERPINSKI THEOREM, MEHDI S THEOREM,WRIGHT-CONVEX FUNCTION.
 
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