Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Haytham M. Rezk"'
Autor:
Ahmed M. Ahmed, Ahmed I. Saied, Mohammed Zakarya, Amirah Ayidh I Al-Thaqfan, Maha Ali, Haytham M. Rezk
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31926-31946 (2024)
In this study, we introduced several novel Hardy-type inequalities with negative parameters for monotone functions within the framework of delta calculus on time scales $ \mathbb{T} $. As an application, when $ \mathbb{T = N}_{0}, $ we derived discre
Externí odkaz:
https://doaj.org/article/a9b1904245624a6087623be0293f4730
Autor:
A. A. El-Gaber, M. M. A. El-Sheikh, Haytham M. Rezk, Mohammed Zakarya, Ghada AlNemer, E. I. El-Saedy
Publikováno v:
Mathematics, Vol 12, Iss 20, p 3217 (2024)
The oscillation and asymptotic behavior of solutions of a general class of damped second-order differential equations with several sub-linear neutral terms is considered. New sufficient conditions are established to fulfill a part of the gap in the o
Externí odkaz:
https://doaj.org/article/f7a4658f1e14424992d8f451905ac436
Publikováno v:
Axioms, Vol 13, Iss 10, p 723 (2024)
This research investigates innovative extensions of Hardy-type inequalities through the use of nabla Hölder’s and nabla Jensen’s inequalities, combined with the nabla chain rule and the characteristics of convex and submultiplicative functions.
Externí odkaz:
https://doaj.org/article/df6fa23eab394756827100bb3d6a3415
Publikováno v:
Axioms, Vol 13, Iss 7, p 475 (2024)
In this article, we present some novel dynamic Hilbert-type inequalities within the framework of time scales T. We achieve this by utilizing Hölder’s inequality, the chain rule, and the mean inequality. As specific instances of our findings (when
Externí odkaz:
https://doaj.org/article/4014472381f24798a21bcc0a0acdb512
Publikováno v:
Axioms, Vol 13, Iss 4, p 235 (2024)
In this article, we discuss several novel generalized Ostrowski-type inequalities for functions whose derivative module is relatively convex in time scales calculus. Our core findings are proved by using the integration by parts technique, Hölder’
Externí odkaz:
https://doaj.org/article/10edd1b436684602b18434a69b97eb9a
Publikováno v:
Symmetry, Vol 16, Iss 3, p 288 (2024)
This paper introduces novel generalizations of dynamic inequalities of Copson type within the framework of time scales delta calculus. The proposed generalizations leverage mathematical tools such as Hölder’s inequality, Minkowski’s inequality,
Externí odkaz:
https://doaj.org/article/7c54c2c780e540c7889e5ca25e2a3ea1
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-23 (2022)
Abstract The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature. Further, we derive some new weighted Hardy dynamic inequalities invo
Externí odkaz:
https://doaj.org/article/d6a98e1f5a73478ba6f4115e42b927b8
Publikováno v:
Mathematics, Vol 12, Iss 1, p 104 (2023)
In this article, we establish some new generalized inequalities of the Hilbert-type on time scales’ delta calculus, which can be considered similar to formulas for inequalities of Hilbert type. The major innovation point is to establish some dynami
Externí odkaz:
https://doaj.org/article/9ae92ce66de044fe97759c8aeca87cf7
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1656 (2023)
In this research, we aim to explore generalizations of Hardy-type inequalities using nabla Hölder’s inequality, nabla Jensen’s inequality, chain rule on nabla calculus and leveraging the properties of convex and submultiplicative functions. Nabl
Externí odkaz:
https://doaj.org/article/6c66363016bd4b219f8a7ebe689937ed
Publikováno v:
Axioms, Vol 12, Iss 8, p 791 (2023)
In this study, we apply Hölder’s inequality, Jensen’s inequality, chain rule and the properties of convex functions and submultiplicative functions to develop an innovative category of dynamic Hardy-type inequalities on time scales delta calculu
Externí odkaz:
https://doaj.org/article/49cfaae8654443c98857b275d7b4d6ce