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Improvements and Generalizations of Converse Jensens Inequality and Related Results


Pečarić, Josip; Perić, Jurica
Improvements and Generalizations of Converse Jensens Inequality and Related Results // Program and abstracts - The International Conference on MATHEMATICAL INEQUALITIES and NONLINEAR FUNCTIONAL ANALYSIS with APPLICATIONS / Cho, Yeol Je ; Kim, Jong Kyu ; Yang, Young Oh ; Pečarić, Josip (ur.).
Jinju, Korea, 2012. str. 84-84 (pozvano predavanje, nije recenziran, sažetak, znanstveni)


Naslov
Improvements and Generalizations of Converse Jensens Inequality and Related Results

Autori
Pečarić, Josip ; Perić, Jurica

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

Izvornik
Program and abstracts - The International Conference on MATHEMATICAL INEQUALITIES and NONLINEAR FUNCTIONAL ANALYSIS with APPLICATIONS / Cho, Yeol Je ; Kim, Jong Kyu ; Yang, Young Oh ; Pečarić, Josip - Jinju, Korea, 2012, 84-84

Skup
The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications (MINFAA 2012)

Mjesto i datum
Jinju, Korea, 25-29. 07. 2012

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Jensens inequality; Converse Jensens inequality; convex hull; convex functions; Hermite-Hadamard inequality; k-simplex; barycentric coordinates

Sažetak
In this talk we prove generalizations and improvements of Converse Jensens inequality for convex functions de ned on convex hulls. As consequences we get generalizations and improvements of the Hermite-Hadamard inequality for convex functions de ned on k-simplices in Rk. We also present some related results which generalize and improve results from A. Matkovic, J. Pecaric , A variant of Jensens inequality for convex functions of several variables, J. Math. Ineq., 1, 1 (2007), 4551.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split