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Converses of the Jensen Inequality for (2m)-convex Functions and Completely Convex Functions


Čuljak, Vera; Pečarić, Josip
Converses of the Jensen Inequality for (2m)-convex Functions and Completely Convex Functions // The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications 2012 : Abstracts / Cho, Yeol Je (ur.).
Jinju-si: Gyeongsang National University, 2012. str. 65-65 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
Converses of the Jensen Inequality for (2m)-convex Functions and Completely Convex Functions

Autori
Čuljak, Vera ; Pečarić, Josip

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

Izvornik
The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications 2012 : Abstracts / Cho, Yeol Je - Jinju-si : Gyeongsang National University, 2012, 65-65

Skup
The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications

Mjesto i datum
Chinju, Republika Koreja, 25.07.2012. - 29.07.2012

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Green function, Jensen inequality, (2m)-convex function, completely convex function, Lidstone polynomial, Hermite polynomial

Sažetak
In this note we consider (2m)-convex functions and completely convex functions. Using the ineterpolating polynomials (hermite's and Lindstone's interpolating polynomials) and conditions on the Green's functions the results concering for the converses of the Jensen inequality for signed measure are presented.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Građevinski fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Vera Čuljak (autor)

Avatar Url Josip Pečarić (autor)


Citiraj ovu publikaciju:

Čuljak, Vera; Pečarić, Josip
Converses of the Jensen Inequality for (2m)-convex Functions and Completely Convex Functions // The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications 2012 : Abstracts / Cho, Yeol Je (ur.).
Jinju-si: Gyeongsang National University, 2012. str. 65-65 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
Čuljak, V. & Pečarić, J. (2012) Converses of the Jensen Inequality for (2m)-convex Functions and Completely Convex Functions. U: Cho, Y. (ur.)The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications 2012 : Abstracts.
@article{article, author = {\v{C}uljak, Vera and Pe\v{c}ari\'{c}, Josip}, editor = {Cho, Y.}, year = {2012}, pages = {65-65}, keywords = {Green function, Jensen inequality, (2m)-convex function, completely convex function, Lidstone polynomial, Hermite polynomial}, title = {Converses of the Jensen Inequality for (2m)-convex Functions and Completely Convex Functions}, keyword = {Green function, Jensen inequality, (2m)-convex function, completely convex function, Lidstone polynomial, Hermite polynomial}, publisher = {Gyeongsang National University}, publisherplace = {Chinju, Republika Koreja} }
@article{article, author = {\v{C}uljak, Vera and Pe\v{c}ari\'{c}, Josip}, editor = {Cho, Y.}, year = {2012}, pages = {65-65}, keywords = {Green function, Jensen inequality, (2m)-convex function, completely convex function, Lidstone polynomial, Hermite polynomial}, title = {Converses of the Jensen Inequality for (2m)-convex Functions and Completely Convex Functions}, keyword = {Green function, Jensen inequality, (2m)-convex function, completely convex function, Lidstone polynomial, Hermite polynomial}, publisher = {Gyeongsang National University}, publisherplace = {Chinju, Republika Koreja} }




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