Zobrazeno 1 - 10
of 2 950
pro vyhledávání: '"hadamard inequality"'
Autor:
Jleli Mohamed
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 369-390 (2024)
Fejér’s integral inequality is a weighted version of the Hermite-Hadamard inequality that holds for the class of convex functions. To derive his inequality, Fejér [Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss. 24 (1906), 3
Externí odkaz:
https://doaj.org/article/64d4a4906e044ed997d755a2b099791b
Autor:
Attazar Bakht, Matloob Anwar
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28130-28149 (2024)
Integral inequalities involving exponential convexity are significant in both theoretical and applied mathematics. In this paper, we establish a new Hermite-Hadamard type inequality for the class of exponentially convex functions by using the concept
Externí odkaz:
https://doaj.org/article/e3438cda9bca41c7a2862b8a4d4e3bbb
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 303-311 (2024)
In this article, we study some Hermite-Hadamard-type inequalities for strongly hh-convex functions on co-ordinates in Rn{{\mathbb{R}}}^{n}, which extend some known results. Some mappings connected with these inequalities and related applications are
Externí odkaz:
https://doaj.org/article/da6d7b05d4514e5ba59aae787277ce3d
Construction of new fractional inequalities via generalized n-fractional polynomial s-type convexity
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23924-23944 (2024)
This paper focuses on introducing and investigating the class of generalized $ n $-fractional polynomial $ s $-type convex functions within the framework of fractional calculus. Relationships between the novel class of functions and other kinds of co
Externí odkaz:
https://doaj.org/article/e7f7d8843191400eacbcf0d55db62567
Autor:
Latif Muhammad Amer
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 82-215 (2024)
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these ma
Externí odkaz:
https://doaj.org/article/87e403b5a48d403a86e537ede871835e
Autor:
Jleli Mohamed, Samet Bessem
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 176-186 (2024)
For a given sequence a=(a1,…,an)∈Rna=\left({a}_{1},\ldots ,{a}_{n})\in {{\mathbb{R}}}^{n}, our aim is to obtain an estimate of En≔a1+an2−1n∑i=1nai{E}_{n}:= \left|\hspace{-0.33em},\frac{{a}_{1}+{a}_{n}}{2}-\frac{1}{n}{\sum }_{i=1}^{n}{a}_{i}
Externí odkaz:
https://doaj.org/article/bb98c3be0c4646529df3103eb0849984
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-18 (2024)
Abstract We use a new function class called B-function to establish a novel version of Hermite–Hadamard inequality for weighted ψ-Hilfer operators. Additionally, we prove two new identities involving weighted ψ-Hilfer operators for differentiable
Externí odkaz:
https://doaj.org/article/bd36dd0f8b8b4356a8e1498e6dd5e21f
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 24, Iss 2, Pp 173-183 (2024)
In this article, we have defined new weighted integral operators. We formulated a lemma in which we obtained a generalized identity through these integral operators. Using this identity, we obtain some new generalized Simpson's type inequalities for
Externí odkaz:
https://doaj.org/article/acbcf25a65ed40429d8c15167ef87674
Autor:
Iqra Nayab, Shahid Mubeen, Rana Safdar Ali, Faisal Zahoor, Muath Awadalla, Abd Elmotaleb A. M. A. Elamin
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17696-17715 (2024)
In this article, we implemented the idea of a fuzzy interval-valued function with the well-known generalized fuzzy fractional operators, associated with different types of convexities and preinvexities. We developed the Prabhakar fuzzy fractional ope
Externí odkaz:
https://doaj.org/article/ac0832aa6b3f442694ba455e94b41764