Generalizations and improvements of an inequality of Hardy-Littlewood-Polya (CROSBI ID 209999)
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Podaci o odgovornosti
Khalid, Sadia ; Pečarić, Josip
engleski
Generalizations and improvements of an inequality of Hardy-Littlewood-Polya
Some generalizations of an inequality of Hardy-Littlewood-Pólya are presented. We discuss the n-exponential convexity and log-convexity of the functions associated with the linear functional defined by the generalized inequality and also prove the monotonicity property of the generalized Cauchy means obtained via this functional. Finally, we give several examples of the families of functions for which the results can be applied.
Non-increasing sequence in mean; Wright-convex function; n-exponential and logarithmic convexity; divided difference
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Podaci o izdanju
18 (519)
2014.
73-89
objavljeno
1845-4100