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Generalizations and improvements of an inequality of Hardy-Littlewood-Pólya

Sadia Khalid ; Abdus Salam School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore 54600, Pakistan
Josip Pečarić ; Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia

Puni tekst: engleski pdf 228 Kb

str. 73-89

preuzimanja: 784



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.

Ključne riječi

Non-increasing sequence in mean, Wright-convex function, n-exponential and logarithmic convexity, divided difference

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Posjeta: 1.045 *