Zobrazeno 1 - 10
of 344
pro vyhledávání: '"Hermite-Hadamard type inequalities"'
Publikováno v:
Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 156-178 (2024)
In this paper, we investigate a novel class of Hermite-Hadamard inequalities applicable to functions with h-convex absolute derivatives. Graphical representations are provided to bolster the validity of our key findings. Some limiting results of our
Externí odkaz:
https://doaj.org/article/2330eff2993a44fda9b221961d48b24a
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 171-215 (2024)
In this article, we establish Hermite-Hadamard-type inequalities for the two classes of functions X±λ(Ω)={f∈C2(Ω):Δf±λf≥0}{X}_{\pm \lambda }\left(\Omega )=\{f\in {C}^{2}\left(\Omega ):\Delta f\pm \lambda f\ge 0\}, where λ>0\lambda \gt 0 a
Externí odkaz:
https://doaj.org/article/b628cb66787f42e189b9f14886b8c1b9
Publikováno v:
Journal of King Saud University: Science, Vol 36, Iss 11, Pp 103523- (2024)
This paper introduces a novel parametrized integral identity that forms the basis for deriving a comprehensive class of generalized fractional integral inequalities. Building on recent advancements in fractional calculus, particularly in conformable
Externí odkaz:
https://doaj.org/article/357b503e5998447c88530126e5060630
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17955-17970 (2024)
We consider the class of functions $ u\in C^2((0, \infty)) $ satisfying second-order differential inequalities in the form $ u''(x)+\frac{k}{x^2}u(x)\geq 0 $ for all $ x > 0 $. For this class of functions, we establish Hermite-Hadamard-type inequalit
Externí odkaz:
https://doaj.org/article/10a80e9770534e80af265eaf1237b70e
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11992-12010 (2024)
We unified several kinds of convexity by introducing the class $ \mathcal{A}_{\zeta, w}([0, 1]\times I^2) $ of $ (\zeta, w) $-admissible functions $ F: [0, 1]\times I\times I\to \mathbb{R} $. Namely, we proved that most types of convexity from the li
Externí odkaz:
https://doaj.org/article/58240fb833cd416abf6e4b8733785e49
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11139-11155 (2024)
We introduce the class of $ \psi $-convex functions $ f:[0, \infty)\to \mathbb{R} $, where $ \psi\in C([0, 1]) $ satisfies $ \psi\geq 0 $ and $ \psi(0)\neq \psi(1) $. This class includes several types of convex functions introduced in previous works.
Externí odkaz:
https://doaj.org/article/85aa5c2384674febbe2139bb6ab7a72b
Autor:
Tuba Tunç, İzzettin Demir
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-17 (2024)
Abstract In mathematics and the applied sciences, as a very useful tool, fractional calculus is a basic concept. Furthermore, in many areas of mathematics, it is better to use a new hybrid fractional operator, which combines the proportional and Capu
Externí odkaz:
https://doaj.org/article/f9361e725eb9464cae79e33a4e60ef3b
Autor:
Sun Wenbing, Wan Haiyang
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 171-215 (2024)
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained. Subsequently, an integr
Externí odkaz:
https://doaj.org/article/af2e8e4a9522402bbcc1c11eb446a141
Autor:
Wenfeng Sun, Xiaowei He
Publikováno v:
IEEE Access, Vol 12, Pp 92906-92918 (2024)
This article explores the integration of HermiteHadamard Type Inequalities and convex functions within the domain of signal processing, elucidating their theoretical underpinnings and practical implications. Beginning with a comprehensive background,
Externí odkaz:
https://doaj.org/article/a20ba3cb1f1948afb432c04e19104a2f
Autor:
İzzettin Demir, Tuba Tunç
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-15 (2024)
Abstract Fractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid fractional operator, which combines proportional and Caputo operators, offers better applications
Externí odkaz:
https://doaj.org/article/94767a76a17d490683e6222a23cec92a