Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Anita Matković"'
Autor:
Anita Matković, Josip Pečarić
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-9 (2020)
Abstract We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete O
Externí odkaz:
https://doaj.org/article/779f5622dbd9423daa0a19d7189628f8
Autor:
Anita Matković
Publikováno v:
Mathematics, Vol 9, Iss 19, p 2406 (2021)
We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definit
Externí odkaz:
https://doaj.org/article/39a812130ea04e988515270e7a37ad5c
Autor:
Anita Matković, Josip Pečarić
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 35, Iss 1 (2006)
Some refinements of Jensen-Mercer's inequality are presented. They are used to refine few inequalities among various means of Mercer's type, and they are further generalized for linear functionals.
Externí odkaz:
https://doaj.org/article/ce6a57aa4f4c419c9e8ca20e182368d4
Autor:
Josip Pečarić, Anita Matković
Publikováno v:
Mathematical Inequalities & Applications. :1379-1384
We present generalizations of the Jensen .Mercer inequality for the class of n -convex functions. The results arc obtained by using Taylor's polynomial and four types of Green's functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61009040b1ad920ad4a83a6036ae5140
https://doi.org/10.7153/mia-2019-22-95
https://doi.org/10.7153/mia-2019-22-95
Autor:
Josip Pečarić, Anita Matković
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-9 (2020)
We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78f59d48a14e17dbf427c7639aed5126
https://www.bib.irb.hr/1102821
https://www.bib.irb.hr/1102821
Autor:
Anita Matković
The main goal of this paper is to point out some refinements of the reverse of the Jensen-Mercer inequality.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08dc3459b49fb9b70f8867d5b20048f4
https://www.bib.irb.hr/1067349
https://www.bib.irb.hr/1067349
Autor:
Anita Matković
Publikováno v:
Mathematical Inequalities & Applications. :1387-1398
We present generalizations of the Jensen-Mercer inequality for the class of n-convex functions, obtained by using Taylor’s polynomial and Green function. By applying those inequalities we obtain some results related to Čebyšev functionals.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9fe5e5892f38b4f0a92af28491d5287
https://doi.org/10.7153/mia-19-102
https://doi.org/10.7153/mia-19-102
Publikováno v:
Banach J. Math. Anal. 5, no. 1 (2011), 19-28
We give a general form of the Jensen-Mercer operator inequality for convex functions and its refinement for operator convex functions, continuous fields of operators and unital fields of positive linear mappings. As consequences, we obtain a global u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d1ee28aaa01c43098af8b72a58ce788
https://doi.org/10.15352/bjma/1313362976
https://doi.org/10.15352/bjma/1313362976
Publikováno v:
ResearcherID
Refinements of a variant of Jensen's inequality for functions with nondecreasing increments are presented. Obtained results are used to prove refinements of related variants of Čebyšev's inequality and Hölder's inequality.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5831699cae719ae855e3143d43a73dc6
https://doi.org/10.4134/jkms.2008.45.3.821
https://doi.org/10.4134/jkms.2008.45.3.821
Publikováno v:
Mathematical Inequalities & Applications. :113-126
Refinements of Jensen's inequality for operator convex functions, which are generalizations of Mercer's result, are proved. Obtained results are used to refine monotonicity properties for power means of Mercer's type, and a comparision theorem for qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::893f2f1f9c892ad9a69e9fa7f4d9571d
https://doi.org/10.7153/mia-11-07
https://doi.org/10.7153/mia-11-07