Title of article :
Ostrowski type inequalities for functions whose derivatives are strongly beta-convex
Author/Authors :
Meftah, Badreddine Laboratoire des t´el´ecommunications - Facult´e des Sciences et de la Technologie - University of 8 May 1945 Guelma, Guelma, Algeria , Azaizia, Assia D´epartement des Math´ematiques - Facult´e des math´ematiques - de l’informatique et des sciences de la mati`ere - Universit´e 8 mai 1945 Guelma, Algeria
Abstract :
In this paper, we introduce the class of strongly beta-convex functions and establish some new
Ostrowski’s inequalities for functions whose first derivatives in absolute value are strongly beta-convex.
Several results for its subclasses are also derived
Keywords :
Ostrowski inequality , Holder inequality , power mean inequality , strongly beta-convex functions
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
