Pregled bibliografske jedinice broj: 953599
Interpolating polynomials and derived inequalities for convex functions
Interpolating polynomials and derived inequalities for convex functions // Mathematical Inequalities and Applications 2018, Book of Abstracts
Zagreb, Hrvatska, 2018. str. 18-18 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Interpolating polynomials and derived inequalities for convex functions
Autori
Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Mathematical Inequalities and Applications 2018, Book of Abstracts
/ - , 2018, 18-18
Skup
Mathematical Inequalities and Applications, 2018.
Mjesto i datum
Zagreb, Hrvatska, 04.07.2018. - 08.07.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Jensen inequality, Hermite-Hadamard inequality, interpolating polynomials, convex function
Sažetak
Using interpolating polynomials and conditions on the Green's functions, and also using Euler's identity, generalizations of Jensen's onequality and converses of Jensen's inequality for regular, real (signed) Borel measure are obtained, and as a consequence Hermite-Hadamard inequalities are presented. Considering Cauchy's error representation of interpolating polynomials, corresponding generalizations of the Hermite-Hadamard inequality are also attained, and as a special case, generalization of the Hermite-Hadamard inequality for the zeros of orthogonal polynomials are considered.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Arhitektonski fakultet, Zagreb
