Zobrazeno 1 - 10
of 225
pro vyhledávání: '"Wei-Shih Du"'
Publikováno v:
Axioms, Vol 13, Iss 10, p 677 (2024)
In this paper, by using q-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with q-integer components. We give some special cases of these newly established quaternions. This article
Externí odkaz:
https://doaj.org/article/a4c964c66c5941f4b5e4f4bf6c6cbc71
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 469 (2024)
In this paper, we investigate a class of non-instantaneous impulsive fractional integral equations. Utilizing the Banach contraction mapping principle, we establish the existence and uniqueness of solutions for the considered problem. Additionally, e
Externí odkaz:
https://doaj.org/article/121628d2134f4babb33a8c82c8296544
Publikováno v:
Symmetry, Vol 16, Iss 8, p 989 (2024)
In the paper, (1) in view of a general formula for any derivative of the quotient of two differentiable functions, (2) with the aid of a monotonicity rule for the quotient of two power series, (3) in light of the logarithmic convexity of an elementar
Externí odkaz:
https://doaj.org/article/5614d53db5e345e2bdfd2df33f8003b4
Autor:
Shin-Yi Huang, Wei-Shih Du
Publikováno v:
Symmetry, Vol 16, Iss 8, p 1088 (2024)
In this paper, we investigate new fixed point theorems for generalized Meir–Keeler type nonlinear mappings satisfying the condition (DH). As applications, we obtain many new fixed point theorems which generalize and improve several results availabl
Externí odkaz:
https://doaj.org/article/d2e5c3d40c5a4d979058242bd319cb39
Autor:
Wei-Shih Du
Publikováno v:
Axioms, Vol 13, Iss 6, p 350 (2024)
Nonlinear analysis has widespread and significant applications in many areas at the core of many branches of pure and applied mathematics and modern science, including nonlinear ordinary and partial differential equations, critical point theory, func
Externí odkaz:
https://doaj.org/article/c2b94616fc1c477ba2b10a19bf3a04cf
Publikováno v:
Fractal and Fractional, Vol 8, Iss 5, p 257 (2024)
In the paper, the authors introduce two notions, the normalized remainders, or say, the normalized tails, of the Maclaurin power series expansions of the sine and cosine functions, derive two integral representations of the normalized tails, prove th
Externí odkaz:
https://doaj.org/article/a1c8639187b244178273080993d113a9
Publikováno v:
Mathematics, Vol 12, Iss 8, p 1156 (2024)
This paper presents a comprehensive survey of the generalization of hybrid numbers and hybrid polynomials, particularly in the fields of mathematics and physics. In this paper, by using higher-order generalized Fibonacci polynomials, we introduce hig
Externí odkaz:
https://doaj.org/article/1b652db1211a4df39f3e8a48a5e799ee
Publikováno v:
Symmetry, Vol 16, Iss 4, p 385 (2024)
In the present study, we use several identities from the q-calculus to define the concept of q-Hermite polynomials with three variables and present their associated formalism. Many properties and new results of q-Hermite polynomials of three variable
Externí odkaz:
https://doaj.org/article/45830511314d411f9e59faf53d7ab34b
Publikováno v:
Axioms, Vol 13, Iss 3, p 196 (2024)
In this paper, we introduce and study new features for 2-variable (p,q)-Hermite polynomials, such as the (p,q)-diffusion equation, (p,q)-differential formula and integral representations. In addition, we establish some summation models and their (p,q
Externí odkaz:
https://doaj.org/article/ff69707116bd42bab2194216c15c0a37
Publikováno v:
Mathematics, Vol 12, Iss 4, p 548 (2024)
This paper investigates diverse classes of multidimensional Weyl and Doss ρ-almost periodic functions in a general measure setting. This study establishes the fundamental structural properties of these generalized ρ-almost periodic functions, exten
Externí odkaz:
https://doaj.org/article/dd5167e5b6244a8a88bf326c96604f77