Abstract.We give some insights on two generalizations of preinvex functions due to R. Pini [11]. Moreover, we take into consideration a modification of the class of semi-preinvex functions introduced by Yang and Chen [16] in order to obtain equivalence between this (modified) class and the class of invex functions. Finally we correct and generalize some results of Weir [15] on semilocally convex functions.

Received: September 28, 2008

AMS Subject Classification: 26A33

Key Words and Phrases: operators for integration, differentiation of fractional order

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 1