Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Bahtiyar Bayraktar"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 11, Pp 19929-19940 (2023)
In this article, starting with an equation for weighted integrals, we obtained several extensions of the well-known Hermite–Hadamard inequality. We used generalized weighted integral operators, which contain the Riemann–Liouville and the $ k $-Ri
Externí odkaz:
https://doaj.org/article/ad28119e6bd84853aca76211bcdc9d32
Publikováno v:
Axioms, Vol 12, Iss 7, p 691 (2023)
In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators. Based on this new identity, some generalized Bullen-type inequalities are obtained by employing conv
Externí odkaz:
https://doaj.org/article/bb49dbfb47934b75a172bd58be9eabf7
Publikováno v:
Axioms, Vol 12, Iss 6, p 517 (2023)
In this study, we present new variants of the Hermite–Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally co
Externí odkaz:
https://doaj.org/article/8627d24767914caf9e1f2dedbf910295
Publikováno v:
AIMS Mathematics, Vol 5, Iss 4, Pp 3906-3921 (2020)
In this paper, we establish several new integral inequalities for (α, s,m)-convex functions. We recapture the Hermite-Hadamard inequality as a particular case. In order to obtain our results, we use classical inequalities such as Hölder inequality,
Externí odkaz:
https://doaj.org/article/68d27495984e4a5c9d067e3480a098a0
Publikováno v:
Annals of the University of Craiova - Mathematics and Computer Science Series. 49:371-383
In this paper, using the definition of functions (h,m,s)-convex modified of second type, various extensions of the classic Hermite-Hadamard Inequality are obtained using Katugampola integrals. In addition, we show that several results known are parti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea40d5b96d2023a0d13a99259b7a6b53
https://doi.org/10.52846/ami.v49i2.1596
https://doi.org/10.52846/ami.v49i2.1596
Publikováno v:
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta. 60:3-15
In this article, we establish several inequalities for $(h,m)$-convex maps, related to weighted integrals, used in previous works. Throughout the work, we show that our results generalize several of the integral inequalities known from the literature
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8702990ca6c777d16ec5f3039f017ec1
https://doi.org/10.35634/2226-3594-2022-60-01
https://doi.org/10.35634/2226-3594-2022-60-01
Publikováno v:
Russian Mathematics. 65:1-14
In this paper, we establish some generalized inequalities of the Hermite–Hadamard type using fractional Riemann–Liouville integrals for the class of s-convex functions in the first and second sense. We assume that second derivatives of these func
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::166d178c44076fc9cc1bab329bc7eaac
https://doi.org/10.3103/s1066369x21020018
https://doi.org/10.3103/s1066369x21020018
Autor:
M. Emin Özdemir, Bahtiyar Bayraktar
Publikováno v:
Ufimskii Matematicheskii Zhurnal. 13:119-130
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb23b45796b222bbf5c1884747fdc5a3
https://doi.org/10.13108/2021-13-1-119
https://doi.org/10.13108/2021-13-1-119
Publikováno v:
Проблемы анализа, Vol 10 (28), Iss 1, Pp 3-22 (2021)
The main objective of this paper is to establish several new integral inequalities including k-Riemann – Liouville fractional integrals for convex, s-Godunova – Levin convex functions, quasiconvex, η-quasi-convex. In order to obtain our results,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49adb0b1e4b33d06dca46fad7d951675
https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8770&lang=ru
https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8770&lang=ru
Autor:
Bahtiyar Bayraktar
Publikováno v:
Проблемы анализа, Vol 927, Iss 3, Pp 66-82 (2020)
In this study, we formulate the identity and obtain some generalized inequalities of the Hermite-Hadamard type by using fractional Riemann-Liouville integrals for functions whose absolute values of the second derivatives are convex. The results are o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb0cb89986db4feca93e23509edab1ed
https://doi.org/10.15393/j3.art.2020.8270
https://doi.org/10.15393/j3.art.2020.8270