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Extension of Cerone's generalizations of Steffensen's inequality (CROSBI ID 223647)
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Jakšetić, Julije ; Pečarić, Josip ; Smoljak Kalamir, Ksenija
Extension of Cerone's generalizations of Steffensen's inequality // Jordan journal of mathematics and statistics, 8 (2015), 2; 179-194
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Jakšetić, Julije ; Pečarić, Josip ; Smoljak Kalamir, Ksenija
engleski
Extension of Cerone's generalizations of Steffensen's inequality
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.
Steffensen's inequality; Cerone's generalizations; Borel sigma-algebra; weaker conditions
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