On some general inequalities of the Jensen-Steffensen type (CROSBI ID 541040)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | domaća recenzija
Podaci o odgovornosti
Klaričić Bakula, Milica ; Matić, Marko ; Pečarić, Josip
engleski
On some general inequalities of the Jensen-Steffensen type
We present a pair of general inequalities related to the Jensen-Steffensen inequality for convex functions. We show that the discrete Jensen-Steffensen inequality, as well as a discrete Slater type inequality, can be obtained from these general inequalities as their special cases. We also prove that one of our general companion inequalities, under some additional assumptions, is tighter then the obtained Slater type inequality. The integral variants of the results are also established.
Convex functions; Jensen-Steffensen inequality
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Podaci o prilogu
33-34.
2008.
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objavljeno
Podaci o matičnoj publikaciji
Zbornik Četvrtog hrvatskog matematičkog kongresa
Scitovski, Rudolf
Osijek: Hrvatsko matematičko društvo
Podaci o skupu
Fourth Croatian Mathematical Congres
predavanje
17.06.2008-20.06.2008
Osijek, Hrvatska