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Pregled bibliografske jedinice broj: 312667

A variant of Jensen's inequality for convex functions of several variables

Matković, Anita; Pečarić, Josip
A variant of Jensen's inequality for convex functions of several variables // Journal of Mathematical Inequalities, 1 (2007), 1; 45-51 doi:10.7153/jmi-01-06 (međunarodna recenzija, članak, znanstveni)

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Naslov
A variant of Jensen's inequality for convex functions of several variables

Autori
Matković, Anita ; Pečarić, Josip

Izvornik
Journal of Mathematical Inequalities (1846-579X) 1 (2007), 1; 45-51

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

Ključne riječi
Jensen's inequality ; convex functions ; convex hull

Sažetak
Two Jensen's type inequalities for convex functions defined on ℝ ^{; ; ; ; ; k}; ; ; ; ; which involve elements of convex hulls are given. As their consequences the comparison theorem for weighted L-conjugate means and a Mercer's result are obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Anita Matković (autor)

Poveznice na cjeloviti tekst rada:

doi jmi.ele-math.com

Citiraj ovu publikaciju:

Matković, Anita; Pečarić, Josip
A variant of Jensen's inequality for convex functions of several variables // Journal of Mathematical Inequalities, 1 (2007), 1; 45-51 doi:10.7153/jmi-01-06 (međunarodna recenzija, članak, znanstveni)
Matković, A. & Pečarić, J. (2007) A variant of Jensen's inequality for convex functions of several variables. Journal of Mathematical Inequalities, 1 (1), 45-51 doi:10.7153/jmi-01-06.
@article{article, author = {Matkovi\'{c}, Anita and Pe\v{c}ari\'{c}, Josip}, year = {2007}, pages = {45-51}, DOI = {10.7153/jmi-01-06}, keywords = {Jensen's inequality, convex functions, convex hull}, journal = {Journal of Mathematical Inequalities}, doi = {10.7153/jmi-01-06}, volume = {1}, number = {1}, issn = {1846-579X}, title = {A variant of Jensen's inequality for convex functions of several variables}, keyword = {Jensen's inequality, convex functions, convex hull} }
@article{article, author = {Matkovi\'{c}, Anita and Pe\v{c}ari\'{c}, Josip}, year = {2007}, pages = {45-51}, DOI = {10.7153/jmi-01-06}, keywords = {Jensen's inequality, convex functions, convex hull}, journal = {Journal of Mathematical Inequalities}, doi = {10.7153/jmi-01-06}, volume = {1}, number = {1}, issn = {1846-579X}, title = {A variant of Jensen's inequality for convex functions of several variables}, keyword = {Jensen's inequality, convex functions, convex hull} }

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  • Mathematical Reviews

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