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Pregled bibliografske jedinice broj: 378099

Zbornik radova

Autori: Abramovich, Shoshana; Barić, Josipa; Matić, Marko; Pečarić, Josip
Naslov: History and new reveals on Alzer's inequality
( History and new reveals on Alzer's inequality )
Izvornik: Mathematical Inequalities and Applications 2008, Book of Abstract / Čižmešija, Aleksandra ; Varošanec, Sanja (ur.). - 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.
Ključne riječi: sequences; convex functions; inequalities
( 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.
Vrsta sudjelovanja: Predavanje
Vrsta prezentacije u zborniku: Sažetak
Vrsta recenzije: Međunarodna recenzija
Projekt / tema: 177-1170889-1287, 117-1170889-0888
Izvorni jezik: eng
Kategorija: Znanstveni
Znanstvena područja:
Matematika
Upisao u CROSBI: jbaric@fesb.hr (jbaric@fesb.hr), 12. Sij. 2009. u 13:44 sati



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