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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)

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Naslov
History and new reveals on Alzer's inequality

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

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&#8217; s inequality. However, in 1975. Jan Van de Lune stated Problem 399., which was solved by several mathematicians, and which easily implicates Alzer&#8217; s inequality. We will show that, what is called &#8221; Alzer&#8217; s inequality&#8221; , is actually the result of J. Van de Lune&#8217; s work and according to that, the above inequality we will be calling Van de Lune-Alzer&#8217; s inequality. We will give a review of di&#64256; erent methods in proving and generalizing Van de Lune - Alzer&#8217; s inequality as well as our corrections, re&#64257; nements and extensions of some results and proofs. New results, inspired by the generalization of Van de Lune - Alzer&#8217; s inequality for increasing convex sequences presented by N. Elezović and J. Pečarić, will be shown.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( POIROT)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( POIROT)

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

Profili:

Marko Matić (autor)

Josip Pečarić (autor)

Josipa Barić (autor)

#### Citiraj ovu publikaciju:

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)
Abramovich, S., Barić, J., Matić, M. & Pečarić, J. (2008) History and new reveals on Alzer's inequality. U: Čižmešija, A. & Varošanec, S. (ur.)Mathematical Inequalities and Applications 2008, Book of Abstract.
@article{article, year = {2008}, pages = {26-26}, keywords = {sequences, convex functions, inequalities}, title = {History and new reveals on Alzer's inequality}, keyword = {sequences, convex functions, inequalities}, publisher = {Element}, publisherplace = {Trogir, Hrvatska} }
@article{article, year = {2008}, pages = {26-26}, keywords = {sequences, convex functions, inequalities}, title = {History and new reveals on Alzer's inequality}, keyword = {sequences, convex functions, inequalities}, publisher = {Element}, publisherplace = {Trogir, Hrvatska} }

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