Pregled bibliografske jedinice broj: 764232
Cauchy's error representation of Lidstone interpolating polynomial and related results
Cauchy's error representation of Lidstone interpolating polynomial and related results // Journal of mathematical inequalities, 9 (2015), 4; 1207-1225 doi:10.7153/jmi-09-93 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 764232 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Cauchy's error representation of Lidstone interpolating polynomial and related results
Autori
Aras-Gazić, Gorana ; Čuljak, Vera ; Pečarić, Josip ; Vukelić, Ana
Izvornik
Journal of mathematical inequalities (1846-579X) 9
(2015), 4;
1207-1225
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
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.
(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,
Prehrambeno-biotehnološki fakultet, Zagreb,
Građevinski fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
