History and new reveals on Alzer's inequality (CROSBI ID 544795)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Abramovich, Shoshana ; Barić, Josipa ; Matić, Marko ; Pečarić, Josip
engleski
History and new reveals on Alzer's inequality
In 1993. Horst Alzer proved the inequality which, since then, is known as Alzer’ s inequality. However, in 1975. Jan Van de Lune stated Problem 399., which was solved by several mathematicians, and which easily implicates Alzer’ s inequality. We will show that, what is called ” Alzer’ s inequality” , is actually the result of J. Van de Lune’ s work and according to that, the above inequality we will be calling Van de Lune-Alzer’ s inequality. We will give a review of diff erent methods in proving and generalizing Van de Lune - Alzer’ s inequality as well as our corrections, refi nements and extensions of some results and proofs. New results, inspired by the generalization of Van de Lune - Alzer’ s inequality for increasing convex sequences presented by N. Elezović and J. Pečarić, will be shown.
sequences; convex functions; inequalities
nije evidentirano
nije evidentirano
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Podaci o prilogu
26-26.
2008.
objavljeno
Podaci o matičnoj publikaciji
Mathematical Inequalities and Applications 2008, Book of Abstract
Čižmešija, Aleksandra ; Varošanec, Sanja
Zagreb: Element
Podaci o skupu
Mathematical Inequalities and Applications 2008 Conference in Honour of Professor Josip Pečarić on the Occasion of his 60th Birthday
predavanje
08.06.2008-14.06.2008
Trogir, Hrvatska