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Pregled bibliografske jedinice broj: 887897

Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results


Čuljak, Vera; Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana
Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results // Book of Abstracts of the conference Mathematical Inequalities and Applications 2015 / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja (ur.).
Mostar: Faculty of Science and Education, University of Mostar, 2015. str. 32-32 (predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results

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

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of Abstracts of the conference Mathematical Inequalities and Applications 2015 / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja - Mostar : Faculty of Science and Education, University of Mostar, 2015, 32-32

Skup
Conference Mathematical Inequalities and Applications 2015

Mjesto i datum
Mostar, Bosna i Hercegovina, 11.11.2015. - 15.11.2015

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Abel-Gontscharoff interpolating polynomials, Green function, Jensen inequality, converse of the Jensen inequality, (n)-convex functions.

Sažetak
Using the Abel-Gontscharoff interpolating polynomials and the conditions on the Green’s functions, the results concerning for Jensen’s inequality and converses of Jensen’s inequality for signed measure, are presented. We consider the Cauchy’s error representation of Abel- Gontscharoff interpolating polynomial and as a consequence the results concerning to the Hermite-Hadamard inequalities.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Arhitektonski fakultet, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Građevinski fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Vera Čuljak (autor)

Avatar Url Ana Vukelić (autor)

Avatar Url Gorana Aras-Gazić (autor)

Avatar Url Josip Pečarić (autor)


Citiraj ovu publikaciju:

Čuljak, Vera; Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana
Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results // Book of Abstracts of the conference Mathematical Inequalities and Applications 2015 / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja (ur.).
Mostar: Faculty of Science and Education, University of Mostar, 2015. str. 32-32 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Čuljak, V., Aras-Gazić, G., Pečarić, J. & Vukelić, A. (2015) Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results. U: Andrić, M., Klaričić Bakula, M. & Varošanec, S. (ur.)Book of Abstracts of the conference Mathematical Inequalities and Applications 2015.
@article{article, author = {\v{C}uljak, Vera and Aras-Gazi\'{c}, Gorana and Pe\v{c}ari\'{c}, Josip and Vukeli\'{c}, Ana}, year = {2015}, pages = {32-32}, keywords = {Abel-Gontscharoff interpolating polynomials, Green function, Jensen inequality, converse of the Jensen inequality, (n)-convex functions.}, title = {Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results}, keyword = {Abel-Gontscharoff interpolating polynomials, Green function, Jensen inequality, converse of the Jensen inequality, (n)-convex functions.}, publisher = {Faculty of Science and Education, University of Mostar}, publisherplace = {Mostar, Bosna i Hercegovina} }
@article{article, author = {\v{C}uljak, Vera and Aras-Gazi\'{c}, Gorana and Pe\v{c}ari\'{c}, Josip and Vukeli\'{c}, Ana}, year = {2015}, pages = {32-32}, keywords = {Abel-Gontscharoff interpolating polynomials, Green function, Jensen inequality, converse of the Jensen inequality, (n)-convex functions.}, title = {Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results}, keyword = {Abel-Gontscharoff interpolating polynomials, Green function, Jensen inequality, converse of the Jensen inequality, (n)-convex functions.}, publisher = {Faculty of Science and Education, University of Mostar}, publisherplace = {Mostar, Bosna i Hercegovina} }




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