Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Abel–Gontscharoff interpolating polynomial"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-21 (2018)
Abstract In this paper we give extensions of Sherman’s inequality considering the class of convex functions of higher order. As particular cases, we get an extended weighted majorization inequality as well as Jensen’s inequality which have direct
Externí odkaz:
https://doaj.org/article/85cc49cbe34842e7b126396671f1e155
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:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-12 (2017)
Abstract In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point righ
Externí odkaz:
https://doaj.org/article/9424ea5be9c44411b8bd28863018f9ae
New generalizations of Popoviciu-type inequalities via new Green’s functions and Montgomery identity
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-17 (2017)
Abstract The inequality of Popoviciu, which was improved by Vasić and Stanković (Math. Balk. 6:281-288, 1976), is generalized by using new identities involving new Green’s functions. New generalizations of an improved Popoviciu inequality are obt
Externí odkaz:
https://doaj.org/article/9025526a469a484fa644d32bd6789f78
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-17 (2016)
Abstract Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order. An upper bound
Externí odkaz:
https://doaj.org/article/3ee0c026ef3d4d64b4b9fa20acbceafa
Autor:
Smoljak Kalamir, Ksenija
Using two-point Abel-Gontscharoff interpolating polynomial some new representations of Steffensen’s inequality are obtained. The obtained representations are used to prove new generalizations of Steffensen’s inequality for n−convex functions an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::2e5a2d563df96feadb98abdfaf07f48e
https://www.bib.irb.hr/1109854
https://www.bib.irb.hr/1109854
Akademický článek
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Akademický článek
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Publikováno v:
Journal of Inequalities and Applications
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-21 (2018)
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-21 (2018)
In this paper we give extensions of Sherman’s inequality considering the class of convex functions of higher order. As particular cases, we get an extended weighted majorization inequality as well as Jensen’s inequality which have direct connecti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f881b2c7373fc49387387b2568711875
https://doi.org/10.1186/s13660-018-1692-0
https://doi.org/10.1186/s13660-018-1692-0
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-12 (2017)
Journal of Inequalities and Applications
Journal of Inequalities and Applications
In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::373291c35d78789affc07cf2a958e621
https://doi.org/10.1186/s13660-017-1521-x
https://doi.org/10.1186/s13660-017-1521-x