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Pregled bibliografske jedinice broj: 844710

Cauchy’s error representation of Hermite interpolating polynomial and related results


Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana
Cauchy’s error representation of Hermite interpolating polynomial and related results // Mathematical inequalities & applications, 19 (2016), 4; 1349-1362 (međunarodna recenzija, članak, znanstveni)


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Naslov
Cauchy’s error representation of Hermite interpolating polynomial and related results

Autori
Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana

Izvornik
Mathematical inequalities & applications (1331-4343) 19 (2016), 4; 1349-1362

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
n-convex function ; Hermite interpolating polynomial ; Hermite-Hadamard inequality ; orthogonal polynomials.

Sažetak
In this paper we consider convex functions of higher order. Using the Cauchy’s error representation of Hermite interpolating polynomial the results concerning to the Hermite-Hadamard inequalities are presented. As a special case, generalizations for the zeros of orthogonal polynomials are considered.

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,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Gorana Aras-Gazić (autor)

Avatar Url Ana Vukelić (autor)


Citiraj ovu publikaciju:

Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana
Cauchy’s error representation of Hermite interpolating polynomial and related results // Mathematical inequalities & applications, 19 (2016), 4; 1349-1362 (međunarodna recenzija, članak, znanstveni)
Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2016) Cauchy’s error representation of Hermite interpolating polynomial and related results. Mathematical inequalities & applications, 19 (4), 1349-1362.
@article{article, author = {Aras-Gazi\'{c}, Gorana and Pe\v{c}ari\'{c}, Josip and Vukeli\'{c}, Ana}, year = {2016}, pages = {1349-1362}, keywords = {n-convex function, Hermite interpolating polynomial, Hermite-Hadamard inequality, orthogonal polynomials.}, journal = {Mathematical inequalities and applications}, volume = {19}, number = {4}, issn = {1331-4343}, title = {Cauchy’s error representation of Hermite interpolating polynomial and related results}, keyword = {n-convex function, Hermite interpolating polynomial, Hermite-Hadamard inequality, orthogonal polynomials.} }
@article{article, author = {Aras-Gazi\'{c}, Gorana and Pe\v{c}ari\'{c}, Josip and Vukeli\'{c}, Ana}, year = {2016}, pages = {1349-1362}, keywords = {n-convex function, Hermite interpolating polynomial, Hermite-Hadamard inequality, orthogonal polynomials.}, journal = {Mathematical inequalities and applications}, volume = {19}, number = {4}, issn = {1331-4343}, title = {Cauchy’s error representation of Hermite interpolating polynomial and related results}, keyword = {n-convex function, Hermite interpolating polynomial, Hermite-Hadamard inequality, orthogonal polynomials.} }

Časopis indeksira:


  • 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





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