Fenhong Li

Current Organizations / Institutes

The organizations/institutes from the scholar's latest article

Shangluo University

Research Subjects

Research Interests

Fenhong Li has a total of 6 co-authors. Here are the top co-authors by number of shared publications:

Fugang Chao
School of Mathematics and Computer Application, Shangluo University, Shangluo 726000, China
3 shared publications
Liang Kong
School of Mathematics and Computer Application, Shangluo University, Shangluo 726000, China
3 shared publications
Yimeng Yue
School of Mathematics and Computer Application, Shangluo University, Shangluo 726000, China
3 shared publications
Gang Hu
Department of Applied Mathematics, Xi’an University of Technology, Xi’an, China
1 shared publication
Kenjiro T. Miura
Department of Mechanical Engineering, Shizuoka University, Hamamatsu, Japan
1 shared publication
Muhammad Abbas
Department of Mathematics, University of Sargodha, Sargodha, Pakistan
1 shared publication

Latest Publications

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Open Access
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- 2 April 2026
- Published by MDPI AG in Axioms
Nonlinear Mixed Skew Jordan-Type Higher Derivations on ∗-Algebras
by Yimeng Yue, Liang Kong, Fenhong Li, Fugang Chao
Let $A$ be a unital ∗-algebra containing a nontrivial projection P. In this paper, we introduce the notion of a nonlinear mixed skew Jordan-type derivation (that is, $p_{n} (S_{1}, S_{2}, S_{3}, \dots, S_{n}) = S_{1} ⋄ S_{2} • S_{3} • \dots • S_{n}$ , where $S ⋄ K = S^{*} K + K^{*} S$ and $S • K = S K + K S^{*}$ for all $S, K \in A$ ) and show that if a map $Φ$ : $A \to A$ satisfies $Φ (p_{n} (S_{1}, S_{2}, \dots, S_{n})) = \sum_{k = 1}^{n} p_{n} (S_{1}, S_{2}, \dots S_{k - 1}, Φ (S_{k}), S_{k + 1}, \dots, S_{n})$ , for all $S_{1}, S_{2}, \dots, S_{n} \in A$ and all $n \geq 3$ , then $Φ$ is an additive ∗-derivation. Furthermore, we generalize this result to higher derivable maps on $A$ . As applications, the above result is applied to several special classes of unital ∗-algebras such as prime ∗-algebras, factor von Neumann algebras and standard operator algebras.
Website
Google Scholar
- 2 April 2026
- Published by MDPI AG in Axioms
Open Access
Nonlinear Mixed Skew Jordan-Type Higher Derivations on ∗-Algebras
by Yimeng Yue, Liang Kong, Fenhong Li, Fugang Chao
Let $A$ be a unital ∗-algebra containing a nontrivial projection P. In this paper, we introduce the notion of a nonlinear mixed skew Jordan-type derivation (that is, $p_{n} (S_{1}, S_{2}, S_{3}, \dots, S_{n}) = S_{1} ⋄ S_{2} • S_{3} • \dots • S_{n}$ , where $S ⋄ K = S^{*} K + K^{*} S$ and $S • K = S K + K S^{*}$ for all $S, K \in A$ ) and show that if a map $Φ$ : $A \to A$ satisfies $Φ (p_{n} (S_{1}, S_{2}, \dots, S_{n})) = \sum_{k = 1}^{n} p_{n} (S_{1}, S_{2}, \dots S_{k - 1}, Φ (S_{k}), S_{k + 1}, \dots, S_{n})$ , for all $S_{1}, S_{2}, \dots, S_{n} \in A$ and all $n \geq 3$ , then $Φ$ is an additive ∗-derivation. Furthermore, we generalize this result to higher derivable maps on $A$ . As applications, the above result is applied to several special classes of unital ∗-algebras such as prime ∗-algebras, factor von Neumann algebras and standard operator algebras.
Open Access
Website
Google Scholar
Cited by 2
- 15 March 2026
- Published by MDPI AG in Mathematics
Nonlinear Mixed Bi-Skew Jordan-Type Higher Derivations on ∗-Algebras
by Yimeng Yue, Liang Kong, Fenhong Li, Fugang Chao
Let $A$ be a unital ∗-algebra containing a nontrivial projection. In this paper, we show that every nonlinear mixed bi-skew Jordan-type higher derivation on $A$ is an additive higher ∗-derivation. Moreover, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras.
Website
Google Scholar
- 15 March 2026
- Published by MDPI AG in Mathematics
Open Access
Nonlinear Mixed Bi-Skew Jordan-Type Higher Derivations on ∗-Algebras
by Yimeng Yue, Liang Kong, Fenhong Li, Fugang Chao
Let $A$ be a unital ∗-algebra containing a nontrivial projection. In this paper, we show that every nonlinear mixed bi-skew Jordan-type higher derivation on $A$ is an additive higher ∗-derivation. Moreover, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras.
Cited by 2
Open Access
Website
Google Scholar
Cited by 1
- 4 February 2026
- Published by MDPI AG in Mathematics
Nonlinear ξ-Bi-Skew Lie Triple Derivations on ∗-Algebras
by Yimeng Yue, Fenhong Li, Liang Kong, Fugang Chao
Let $A$ be a unital associative ∗-algebra over the complex field $C$ containing a nontrivial projection and $ξ$ be a nonzero scalar. In this paper, we give a characterization of $ξ$ -bi-skew Lie triple derivation on $A$ . As applications, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras.
Website
Google Scholar
- 4 February 2026
- Published by MDPI AG in Mathematics
Open Access
Nonlinear ξ-Bi-Skew Lie Triple Derivations on ∗-Algebras
by Yimeng Yue, Fenhong Li, Liang Kong, Fugang Chao
Let $A$ be a unital associative ∗-algebra over the complex field $C$ containing a nontrivial projection and $ξ$ be a nonzero scalar. In this paper, we give a characterization of $ξ$ -bi-skew Lie triple derivation on $A$ . As applications, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras.
Cited by 1
Open Access
Website
Google Scholar
Cited by 20
- 5 June 2020
- Published by MDPI AG in Mathematics
The Generalized H-Bézier Model: Geometric Continuity Conditions and Applications to Curve and Surface Modeling
by Fenhong Li, Gang Hu, Muhammad Abbas, Kenjiro T. Miura
The local controlled generalized H-Bézier model is one of the most useful tools for shape designs and geometric representations in computer-aided geometric design (CAGD), which is owed to its good geometric properties, e.g., symmetry and shape adjustable property. In this paper, some geometric continuity conditions for the generalized cubic H-Bézier model are studied for the purpose of constructing shape-controlled complex curves and surfaces in engineering. Firstly, based on the linear independence of generalized H-Bézier basis functions (GHBF), the conditions of first-order and second-order geometric continuity (namely, G¹ and G² continuity) between two adjacent generalized cubic H-Bézier curves are proposed. Furthermore, following analysis of the terminal properties of GHBF, the conditions of G¹ geometric continuity between two adjacent generalized H-Bézier surfaces are derived and then simplified by choosing appropriate shape parameters. Finally, two operable procedures of smooth continuity for the generalized H-Bézier model are devised. Modeling examples show that the smooth continuity technology of the generalized H-Bézier model can improve the efficiency of computer design for complex curve and surface models.
Website
Google Scholar
- 5 June 2020
- Published by MDPI AG in Mathematics
Open Access
The Generalized H-Bézier Model: Geometric Continuity Conditions and Applications to Curve and Surface Modeling
by Fenhong Li, Gang Hu, Muhammad Abbas, Kenjiro T. Miura
The local controlled generalized H-Bézier model is one of the most useful tools for shape designs and geometric representations in computer-aided geometric design (CAGD), which is owed to its good geometric properties, e.g., symmetry and shape adjustable property. In this paper, some geometric continuity conditions for the generalized cubic H-Bézier model are studied for the purpose of constructing shape-controlled complex curves and surfaces in engineering. Firstly, based on the linear independence of generalized H-Bézier basis functions (GHBF), the conditions of first-order and second-order geometric continuity (namely, G¹ and G² continuity) between two adjacent generalized cubic H-Bézier curves are proposed. Furthermore, following analysis of the terminal properties of GHBF, the conditions of G¹ geometric continuity between two adjacent generalized H-Bézier surfaces are derived and then simplified by choosing appropriate shape parameters. Finally, two operable procedures of smooth continuity for the generalized H-Bézier model are devised. Modeling examples show that the smooth continuity technology of the generalized H-Bézier model can improve the efficiency of computer design for complex curve and surface models.
Cited by 20