Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Dora Pokaz"'
Publikováno v:
Axioms, Vol 12, Iss 5, p 434 (2023)
In this paper we extend general Hardy’s inequality by appropriately combining Montgomery’s identity and Green functions. Related Grüss and Ostrowski-type inequalities are also derived.
Externí odkaz:
https://doaj.org/article/d58764162ffb4ddbb368789566bd1d18
Publikováno v:
Mathematics, Vol 11, Iss 7, p 1609 (2023)
In the published publication [...]
Externí odkaz:
https://doaj.org/article/c348defbcd8b4d77821f0b0ad86314f5
Publikováno v:
Mathematics, Vol 9, Iss 15, p 1724 (2021)
In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds for the generalized Hardy’s inequality are given with some applications.
Externí odkaz:
https://doaj.org/article/954d06d95ac24dd39fe4b37c59087437
Publikováno v:
Mathematical Inequalities & Applications. :13-30
We started with the generalization of the Csisz ́ar’s f -divergence. We stated and proved Jensen’s type inequality for L-Lipschitzian functions. The results for commonly used examples of f-divergences, such as the Kullbach-Leibler divergence, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c1c54a1d9315b0c393b2e8ca005a72e
https://doi.org/10.7153/mia-2021-24-02
https://doi.org/10.7153/mia-2021-24-02
Knjiga je namijenjena studentima preddiplomskih inženjerskih studija. U prvom dijelu knjige navedeni su teoretski pojmovi, koji služe inženjerima kao osnovni elementi za razumijevanje riješenih ispitnih primjera, koji se nalaze u drugom dijelu kn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::79423bcd963b5211e2fbcb8b5966c7f7
https://www.bib.irb.hr/1109771
https://www.bib.irb.hr/1109771
Publikováno v:
Journal of Mathematical Inequalities. :1259-1269
We give a Levinson type generalization of Hardy’s inequality with convex functions replaced by 3- convex functions at a point. Several results and examples are provided, both onedimensional and multidimensional.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3eaff9329b16c9671636e8104860789
https://doi.org/10.7153/jmi-09-96
https://doi.org/10.7153/jmi-09-96
Publikováno v:
Journal of Mathematical Inequalities. :739-750
In this paper, we discuss and prove n-exponential convexity of the linear functionals obtained by taking the positive difference of Hardy-type and Boas-type inequalities. Also, we give some examples related to our main results.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ceea7c954620ba82f61e1dd847dc1d88
https://doi.org/10.7153/jmi-07-67
https://doi.org/10.7153/jmi-07-67
Publikováno v:
Acta Mathematica Sinica, English Series. 28:1091-1102
In this paper we define a functional as a difference between the right-hand side and left- hand side of the refined Boas type inequality using the notation of superquadratic and subquadratic functions and study its properties, such as exponential and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba0ec82c5b2048bbcc9fe37714d95c3d
https://doi.org/10.1007/s10114-012-0592-3
https://doi.org/10.1007/s10114-012-0592-3
Starting from a very general form of Boas-type inequality, we get Boas-type inequality for 3- convex functions at a point. For special λ- balanced sets, weight functions and measures we derive various examples.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a575efb5626676ba1d57de19de5b64a
https://www.bib.irb.hr/806052
https://www.bib.irb.hr/806052
Publikováno v:
Journal of Function Spaces and Applications, Vol 2012 (2012)
We state and prove a new refined Boas-type inequality in a setting with a topological space and generalσ-finite and finite Borel measures. As a consequence of the result obtained, we derive a new class of Hardy- and Pólya-Knopp-type inequalities re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c13c7054587195b8be228d12a4cc104
https://www.bib.irb.hr/542533
https://www.bib.irb.hr/542533