Zobrazeno 1 - 10
of 14
pro vyhledávání: '"(2n)-convex function"'
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 46, Iss 1 (2017)
In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case. We give bounds for identiti
Externí odkaz:
https://doaj.org/article/88f8eefab91a4d0085af64ac6db1fc0b
In this paper we consider the Cauchy's error representation of Lidstone interpolating polynomial and as a consequence the results concerning to the Hermite-Hadamard inequalities. Using these inequalities, we produce new exponentially convex functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6af18ff413b9b7a74586e0a8b1bca1ab
https://doi.org/10.7153/jmi-09-93
https://doi.org/10.7153/jmi-09-93
In this paper, using majorization theorems and Lidstone’s interpolating polynomials we obtain results concerning Jensen’s and Jensen Steffensen’s inequalities and their converses in both the integral and the discrete case. We give bounds for id
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::6dada47aa1b93c2eeadf2e2b55add663
https://www.bib.irb.hr/890904
https://www.bib.irb.hr/890904
In this paper, we obtain the generalizations of majorization inequalities by using Lidstone's interpolating polynomials and conditions on Green's functions. We give bounds for identities related to the generalizations of majorization inequalities by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::7ba896eef82e018f38558fb8944c53ab
https://www.bib.irb.hr/914004
https://www.bib.irb.hr/914004
Publikováno v:
Commun. Math. Anal. 19, no. 2 (2016), 101-122
In this paper, we obtain the generalizations of majorization inequalities by using Lidstone's interpolating polynomials and conditions on Green's functions. We give bounds for identities related to the generalizations of majorization inequalities by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=project_eucl::1379b3198290afa0c1bae521e00b20c4
http://projecteuclid.org/euclid.cma/1486782021
http://projecteuclid.org/euclid.cma/1486782021
In this paper, using majorization theorems, Lidstone's interpolating polynomials and conditions on Green's function we obtain results concerning Jensen's inequality and converses of this inequality in both the integral and the discrete case. We use t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::2e5ae1a775b8cebe7c2042de8c6ea87e
https://www.bib.irb.hr/764470
https://www.bib.irb.hr/764470
In this paper we consider (2n)-convex functions and completely convex functions. Using Lidstone's interpolating polynomials and conditions on Green's functions we present results for Jensen's inequality and converses of Jensen's inequality for signed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4493fd2cae73ff7668b49d4a7d563f5
https://www.bib.irb.hr/670041
https://www.bib.irb.hr/670041
Akademický článek
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Autor:
Anwar, Matloob, Pecaric, Josip
Generalized form of Hermite-Hadamard inequality for (2n)-convex and (2n-1)-concave or convex Lebesgue integrable functions are obtained through generalization of Taylor`s formula.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=57a035e5b1ae::7494c2108bbd59b3eb77b9dedfb89eee
https://www.bib.irb.hr/493217
https://www.bib.irb.hr/493217
Akademický článek
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