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On some conversions of the Jensen-Steffensen inequality

Slavica Ivelić ; Faculty of Civil Engineering and Architecture, University of Split, Matice hrvatske 15, 21000 Split, Croatia
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovi´ca 30, 10000 Zagreb, Croatia

Sažetak

Some conversions of the Jensen-Steffensen inequality
for convex functions are considered. Applying exp-convex method
improvements and reverses of the Slater-Pečarić inequality are obtained.
Related Cauchy’s type means are defined and some basic
properties are given.

Ključne riječi

Cauchy’s means; convex functions; Jensen-Steffensen inequality; Slater-Pečarić inequality

Hrčak ID:

104411

URI

https://hrcak.srce.hr/104411

Datum izdavanja:

27.6.2013.

Posjeta: 1.108 *