Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Neda Lovričević"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract Strongly convex functions as a subclass of convex functions, still equipped with stronger properties, are employed through several generalizations and improvements of the Jensen inequality and the Jensen–Mercer inequality. This paper addit
Externí odkaz:
https://doaj.org/article/2bd0e3b790804ec0bb0ca185b5723334
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-20 (2018)
Abstract Motivated by the method of interpolating inequalities that makes use of the improved Jensen-type inequalities, in this paper we integrate this approach with the well known Zipf–Mandelbrot law applied to various types of f-divergences and d
Externí odkaz:
https://doaj.org/article/e4cf691ead0a4f51bfe697f5743f597e
Monotonicity of the Jensen functional for f-divergences with applications to the Zipf-Mandelbrot law
The Jensen functional in its discrete form is brought in relation to the Csiszar divergence functional, this time via its monotonicity property. This approach presents a generalization of the previously obtained results that made use of interpolating
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b45159e2f1a8262fed15e3c3cb7adc1
https://www.bib.irb.hr/1030525
https://www.bib.irb.hr/1030525
Autor:
Neda Lovričević, Anita Rezić
Publikováno v:
Acta mathematica Spalatensia. Series didactica
Volume 2
Issue 2
Volume 2
Issue 2
U radu je dan kratak povijesni pregled upotrebe infinitezimala u matematičkoj analizi, od njegovog početnog, intuitivno zasnovanog koncepta preko sugestivne Leibnizove misli i metode pa sve do Robinsonovog formalnog argumentiranja u korist infinite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c5364f6c7ee1f32c6876c02cbdf5fbf
https://www.bib.irb.hr/944872
https://www.bib.irb.hr/944872
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 20:225-248
In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fc9d63df38a81f666d86f561480c233
https://doi.org/10.2478/v10309-012-0015-6
https://doi.org/10.2478/v10309-012-0015-6
Publikováno v:
Publicationes Mathematicae Debrecen. 80:465-478
The main objective of this paper is an improvement of the original weighted operator arithmetic-geometric mean inequality in Hilbert space. We define the difference operator between the arithmetic and geometric means and investigate its properties. D
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4acca32da4940b0f3c3894e0bb4531c
https://doi.org/10.5486/pmd.2012.5193
https://doi.org/10.5486/pmd.2012.5193
Publikováno v:
Linear Algebra and its Applications. 436(7):2583-2596
Motivated by a joint concavity of connections, solidarities and multidimensional weighted geometric mean, in this paper we extend an idea of convexity (concavity) to operator functions of several variables. With the help of established definitions, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06a9056469f55f0c9b95adb2560968e2
Publikováno v:
Journal of Mathematical Inequalities. :125-139
Motivated by results of S.S. Dragomir, J.E. Pečarić and L.E. Persson, related to superadditivity and monotonicity of discrete Jensen's functional, in this paper we consider Jensen-Mercer's functional, for which we state and prove analogues results.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65c9afe6a0e5870d865cff507f4ca9c2
https://doi.org/10.7153/jmi-06-13
https://doi.org/10.7153/jmi-06-13
We study the Levinson functional, constructed as a difference between the right-hand side and the left-hand side of the Levinson inequality. We show that it possesses the properties of superadditivity and monotonicity. As a consequence, we obtain mut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1decb70e7d7cbbb80d6da77c6ab227e8
https://www.bib.irb.hr/717691
https://www.bib.irb.hr/717691
In this paper we derive some remarkable properties of McShane’s functional, defined by means of positive isotonic linear functionals. These properties are then applied to weighted generalized means. A series of consequences among additive and multi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1b02ae3d09367240cf6148440ae9d4d
https://doi.org/10.1007/s10998-013-3571-2
https://doi.org/10.1007/s10998-013-3571-2