Zobrazeno 1 - 10
of 141
pro vyhledávání: '"Erhan Set"'
Publikováno v:
Miskolc Mathematical Notes, Vol 25, Iss 1, p 329 (2024)
Different types of functions have been used in many various areas of mathematics until today, and today they are used to obtain new equality and inequalities in fractional analysis, which is one of the important areas of mathematics. In this study, w
Externí odkaz:
https://doaj.org/article/510bcd418bbf47c692970781799f3f28
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 19, Iss 2, Pp 1-14 (2022)
In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions. In proofs, some classical integral inequalities, such as H\"{o}lder's in
Externí odkaz:
https://doaj.org/article/2c06c341f67e4a57b74f8376fdb46476
Publikováno v:
AIMS Mathematics, Vol 7, Iss 4, Pp 7106-7116 (2022)
The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions. Young's inequality, which
Externí odkaz:
https://doaj.org/article/1cbdaf109e0248f58bff3aca6a2a4c10
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 10164-10191 (2021)
In this paper, we employ new version of the Atangana-Baleanu integral operator namely ABK-fractional integrals to obtain two general integral identities complying second-order derivatives for a given function. Thus allowing us to derive new generaliz
Externí odkaz:
https://doaj.org/article/169ec9a1b3114e7ca827ea675324b206
Publikováno v:
AIMS Mathematics, Vol 6, Iss 8, Pp 9154-9176 (2021)
Fractional calculus has been the target of the work of many mathematicians for more than a century. Some of these investigations are of inequalities and fractional integral operators. In this article, a novel fractional operator which is known as wei
Externí odkaz:
https://doaj.org/article/7adcf0b64b7d484ea2e3a2b6a720a730
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-12 (2021)
Abstract The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained. In order to obtain the main results of the article, we use the preinvex
Externí odkaz:
https://doaj.org/article/6aac290c2fee4b00824d15e1cb9f553b
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
Abstract The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended
Externí odkaz:
https://doaj.org/article/71a5ae29b5b34dc08551cf4a875c9c12
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-11 (2020)
Abstract The primary objective of this study is to handle new generalized Hermite–Hadamard type inequalities with the help of the Katugampola fractional integral operator, which generalizes the Hadamard and Riemann–Liouville fractional integral o
Externí odkaz:
https://doaj.org/article/29919627f1f845c9896e6354f2361bbe
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-10 (2020)
Abstract In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex funct
Externí odkaz:
https://doaj.org/article/27c098c4729448489fd908532a09f20a
Publikováno v:
AIMS Mathematics, Vol 5, Iss 4, Pp 3573-3583 (2020)
In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities. So, results of Dahmani
Externí odkaz:
https://doaj.org/article/9d28aa8fb2924c1eb30180e2b90459c2