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
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