Author/Authors :
JAKsSETiC, JULIJE University of Zagreb - Faculty of Mechanical Engineering and Naval Architecture, Croatia , PECARIc, JOSIP University of Zagreb - Faculty of Textile Technology, Croatia , KALAMIR, KSENIJA SMOLJAK University of Zagreb - Faculty of Textile Technology, Croatia
Abstract :
The aim of this paper is to extend Cerone s generalization of Steffensen s inequality to positive finite measures and to give weaker conditions for obtained extension. Further, our intension is to obtain extensions of known generalizations of Steffensen s inequality in order to allow bounds that involve any two subintervals using measure theoretic aspects.