Pregled bibliografske jedinice broj: 750682
Cauchy's error representation of Lidstone interpolating polynomial and related results
Cauchy's error representation of Lidstone interpolating polynomial and related results // Mathematical Inequalities and Applications 2014, One Thousand Papers Conference, Book of Abstracts / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja (ur.).
Zagreb: Element, 2014. str. 23-23 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Cauchy's error representation of Lidstone interpolating polynomial and related results
Autori
Aras-Gazić, Gorana ; Čuljak, Vera ; Pečarić, Josip ; Vukelić, Ana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Mathematical Inequalities and Applications 2014, One Thousand Papers Conference, Book of Abstracts
/ Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja - Zagreb : Element, 2014, 23-23
Skup
Mathematical Inequalities and Applications 2014, One Thousand Papers Conference
Mjesto i datum
Trogir, Hrvatska, 22.06.2014. - 26.06.2014
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Green function ; $(2n)$-convex function ; Lidstone polynomial ; Cauchy type mean value theorems ; Hermite-Hadamard inequality ; $n$-exponential convexity ; exponential convexity ; log-convexity ; means
Sažetak
In this paper we consider the Cauchy's error representation of Lidstone interpolating polynomial and as a consequence the results concerning to the Hermite-Hadamard inequalities. Using these inequalities, we produce new exponentially convex functions. Also, we give several examples of the families of functions for which the obtained results can be applied.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Arhitektonski fakultet, Zagreb
