Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Gorana Aras-Gazić"'
Publikováno v:
Mathematical Inequalities & Applications. :1349-1362
Publikováno v:
Mathematical Modelling and Analysis, Vol 21, Iss 6 (2016)
Mathematical Modelling and Analysis; Vol 21 No 6 (2016); 836-851
Mathematical Modelling and Analysis; Vol 21 No 6 (2016); 836-851
We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48364954158bfb5b40df7d42dfff8d59
https://doi.org/10.3846/13926292.2016.1247755
https://doi.org/10.3846/13926292.2016.1247755
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 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
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