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History and new reveals on Alzer's inequality


Abramovich, Shoshana; Barić, Josipa; Matić, Marko; Pečarić, Josip
History and new reveals on Alzer's inequality // Mathematical Inequalities and Applications 2008, Book of Abstract / Čižmešija, Aleksandra ; Varošanec, Sanja (ur.).
Zagreb: Element, 2008. str. 26-26 (predavanje, međunarodna recenzija, sažetak, znanstveni)


Naslov
History and new reveals on Alzer's inequality

Autori
Abramovich, Shoshana ; Barić, Josipa ; Matić, Marko ; Pečarić, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Mathematical Inequalities and Applications 2008, Book of Abstract / Čižmešija, Aleksandra ; Varošanec, Sanja - Zagreb : Element, 2008, 26-26

Skup
Mathematical Inequalities and Applications 2008, Conference in honour of Professor Josip Pečarić on the occasion of his 60th birthday

Mjesto i datum
Trogir, Hrvatska, 8-14.06.2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Sequences; convex functions; inequalities

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split