Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Anamarija Perušić Pribanić"'
Publikováno v:
Mathematics, Vol 10, Iss 9, p 1505 (2022)
In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for (n+2)−convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula.
Externí odkaz:
https://doaj.org/article/2e03a591c3c649f0bfbfd2404d14c1fa
Publikováno v:
Aequationes mathematicae.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2d8cfe40187dc2ae3b47809328f5e89
https://doi.org/10.1007/s00010-023-00953-2
https://doi.org/10.1007/s00010-023-00953-2
Publikováno v:
Quaestiones Mathematicae. 43:293-307
In this paper we obtain few valuable identities by using Lidstone’s polynomial. Further, the identities were applied for constructing new generalizations of Steffensen’s inequality, namely for (2n)−convex and (2n+1)−convex functions. In addi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4495dc39a688e6ba33ce339027b683c
https://doi.org/10.2989/16073606.2018.1539048
https://doi.org/10.2989/16073606.2018.1539048
Publikováno v:
Mathematical Inequalities & Applications. :1177-1191
Some representations of Steffensen’s inequality are obtained by using Hermite interpolating polynomials. The obtained representations are used to prove new generalizations of Steffensen’s inequality for n−convex functions and to give some bound
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc1b95a971fde5da8b81738659c8a679
https://doi.org/10.7153/mia-2019-22-81
https://doi.org/10.7153/mia-2019-22-81
Publikováno v:
Open Mathematics, Vol 16, Iss 1, Pp 420-428 (2018)
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Ste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74f1ec6a92c6ce55501613654ba02e7e
https://doi.org/10.1515/math-2018-0039
https://doi.org/10.1515/math-2018-0039
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 8, Iss 1, Pp 103-126 (2016)
Using Euler-type identities some new generalizations of Steffensen’s inequality for n–convex functions are obtained. Moreover, the Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using inequalities for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3868ec31dec49e862c2a07db463686c
https://doaj.org/article/01f6df79863047c2947b642a5fce9b66
https://doaj.org/article/01f6df79863047c2947b642a5fce9b66
Publikováno v:
Математички билтен/BULLETIN MATHÉMATIQUE DE LA SOCIÉTÉ DES MATHÉMATICIENS DE LA RÉPUBLIQUE MACÉDOINE. :31-35
New generalizations of Steffensen's inequality are obtained by means of weighted Montgomery identity with n different weight functions. Instead for a nondecreasing (1-convex) function our generalization hold for a n-convex function. Further, function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b12726f0080543b7afb97a22ef1989dc
https://doi.org/10.37560/matbil14200031a
https://doi.org/10.37560/matbil14200031a
Publikováno v:
Journal of Inequalities and Applications. 2015(1)
We generalize Steffensen’s inequality to the class of n-convex functions using Taylor’s formula. Further, we use inequalities for the Cebysev functional to obtain bounds for identities related to generalizations of Steffensen’s inequality, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0308d66bd14cd108d259ab28f57845e5