Improvements and Generalizations of Converse Jensens Inequality and Related Results (CROSBI ID 605813)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa
Podaci o odgovornosti
Pečarić, Josip ; Perić, Jurica
engleski
Improvements and Generalizations of Converse Jensens Inequality and Related Results
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.
Jensens inequality; Converse Jensens inequality; convex hull; convex functions; Hermite-Hadamard inequality; k-simplex; barycentric coordinates
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Podaci o prilogu
84-84.
2012.
objavljeno
Podaci o matičnoj publikaciji
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-si:
Podaci o skupu
The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications (MINFAA 2012)
pozvano predavanje
25.07.2012-29.07.2012
Chinju, Republika Koreja