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pro vyhledávání: '"Mikić, Rozarija"'
In this paper we derive some Edmundson-Lah-Ribari\v{c} type inequalities for positive linear functionals and 3-convex functions. Main results are applied to the generalized f-divergence functional. Examples with Zipf Mandelbrot law are used to illust
Externí odkaz:
http://arxiv.org/abs/2101.09155
Publikováno v:
Ukrainian J. Math. 73 (1), (2021), 89-106
In this paper we derive some Edmundson-Lah-Ribaric type inequalities for positive linear functionals and n-convex functions. Main results are applied to the generalized f-divergence functional. Examples with Zipf-Mandelbrot law are used to illustrate
Externí odkaz:
http://arxiv.org/abs/1809.08813
Autor:
Krnić, Mario1 (AUTHOR) mario.krnic@fer.hr, Mikić, Rozarija2 (AUTHOR), Pečarić, Josip3 (AUTHOR)
Publikováno v:
Aequationes Mathematicae. Dec2019, Vol. 93 Issue 6, p1159-1176. 18p.
Autor:
Krnić, Mario1 (AUTHOR) mario.krnic@fer.hr, Mikić, Rozarija2 (AUTHOR) jaksic.rozarija@gmail.com, Pečarić, Josip2 (AUTHOR) pecaric@element.hr
Publikováno v:
Aequationes Mathematicae. Aug2019, Vol. 93 Issue 4, p669-690. 22p.
Autor:
MIKIĆ, ROZARIJA1 rozarija.jaksic@ttf.hr, PEČARIĆ, JOSIP2 pecaric@element.hr
Publikováno v:
Communications in Mathematical Analysis. 2018, Vol. 21 Issue 2, p46-67. 22p.
Levinson's type generalization of the Jensen inequality and its converse for real Stieltjes measure.
Autor:
Mikić, Rozarija1 rjaksic@ttf.hr, Pečarić, Josip1 pecaric@element.hr, Rodić, Mirna1 mrodic@ttf.hr
Publikováno v:
Journal of Inequalities & Applications. 1/3/2017, Vol. 2017 Issue 1, p1-25. 25p.
The main objective of this talk is a study of mutual bounds for the Jensen operator inequality and the Lah-Ribariˇc operator inequality for the classes of bounded, Lipschitzian and higher order convex functions. The connection with the classical con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::e77f3f4b6115be050522da2bee20ff40
https://www.bib.irb.hr/1159474
https://www.bib.irb.hr/1159474
Autor:
Mikić, Rozarija, Pečarić, Josip
Publikováno v:
Commun. Math. Anal. 21, no. 2 (2018), 46-67
By utilizing some scalar inequalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Jensen's inequality and in the Edmundson-Lah-Ribaric inequality in time scale calculus that hold for th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::d45ef56cda8dddeb82d83e8f3603c634
https://projecteuclid.org/euclid.cma/1545361386
https://projecteuclid.org/euclid.cma/1545361386
In this paper we derive some Jensen and Edmundson-Lah-Ribaric type inequalities for positive linear functionals without the assumption about the convexity of the functions that are involved. General results are then applied to generalized f-divergenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::66b5fe1c9e08c3c83c343a0812c4e6cf
https://www.bib.irb.hr/980172
https://www.bib.irb.hr/980172
In this paper we obtain some estimates for the generalized f-divergence functional via converses of the Jensen and Edmundson-Lah- Ribaric inequalities for convex functions, and then we obtain some estimates for the Kullback- Leibler divergence. All o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::f5e77f13452fc3311afc2c1284325747
https://www.bib.irb.hr/978117
https://www.bib.irb.hr/978117