Improvements of Jensen-Type Inequalities for Diamond-\alpha Integrals (CROSBI ID 208824)
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Podaci o odgovornosti
Bibi, Rabia ; Pečarić, Josip ; Rodić Lipanović, Mirna
engleski
Improvements of Jensen-Type Inequalities for Diamond-\alpha Integrals
We give further improvements of the Jensen inequality and its converse on time scales, allowing also negative weights. These results generalize the Jensen inequality and its converse for both discrete and continuous cases. Further, we investigate the exponential and logarithmic convexity of the differences between the left-hand side and the right-hand side of these inequalities and present several families of functions for which these results can be applied.
Time-scales; Jensen inequality; exponential convexity; logarithmic convexity
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Podaci o izdanju
2014
2014.
580605-1-580605-12
objavljeno
2356-7872
10.1155/2014/580605