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Cauchy's error representation of Lidstone interpolating polynomial and related results (CROSBI ID 621825)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Aras-Gazić, Gorana ; Čuljak, Vera ; Pečarić, Josip ; Vukelić, Ana 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

Podaci o odgovornosti

Aras-Gazić, Gorana ; Čuljak, Vera ; Pečarić, Josip ; Vukelić, Ana

engleski

Cauchy's error representation of Lidstone interpolating polynomial and related results

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.

Green function ; $(2n)$-convex function ; Lidstone polynomial ; Cauchy type mean value theorems ; Hermite-Hadamard inequality ; $n$-exponential convexity ; exponential convexity ; log-convexity ; means

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Podaci o prilogu

23-23.

2014.

objavljeno

Podaci o matičnoj publikaciji

Mathematical Inequalities and Applications 2014, One Thousand Papers Conference, Book of Abstracts

Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja

Zagreb: Element

Podaci o skupu

Mathematical Inequalities and Applications 2014, ONE THOUSAND PAPERS CONFERENCE

predavanje

22.06.2014-26.06.2014

Trogir, Hrvatska

Povezanost rada

Matematika