Results 61 to 70 of about 417,873 (284)
Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials
Journal of Function Spaces, 2020 The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials.
Md. Nasiruzzaman, A. F. Aljohani
doaj +1 more source
Automatic Continuity of Lipschitz Algebras
Journal of Functional Analysis, 1995 If \(\{A_\alpha\}\) is a parametrized family of Banach algebras, for which ...
openaire +2 more sources
Lipschitz Continuity of the Minimizers
, 2022 AbstractIn this section, we will prove that the local minimizers of $$\mathcal F_\Lambda $$ ℱ Λ are Lipschitz continuous. Our main result is the following.
openaire +1 more source
Novel Bernstein‐Kantorovich Type Operators
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley +1 more source
Regularity of Generalized Mean-Field G-SDEs
MathematicsWe study the regularity properties of the unique solution of a generalized mean-field G-SDE. More precisely, we consider a generalized mean-field G-SDE with a square-integrable random initial condition, establish its first- and second-order Fréchet ...
Karl-Wilhelm Georg Bollweg +1 more
doaj +1 more source
On the continuity of the state constrained minimal time function
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We obtain results on the propagation of the (Lipschitz) continuity of the minimal time function associated with a finite dimensional autonomous differential inclusion with state constraints and a closed target. To this end, we first obtain new regularity
Ovidiu Carja, Alina Lazu
doaj +1 more source
Demonstratio Mathematica, 2023 The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur +4 more
doaj +1 more source
Lipschitz continuity of refinable functions on the Heisenberg group [PDF]
, 2008 In this paper, the Lipschitz continuity of refinable functions related to the general acceptable dilations on the Heisenberg group will be investigated in terms of the uniform joint spectral radius.
Liu, Yu, Yu, Mei
core +1 more source
On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
wiley +1 more source
LipsFormer: Introducing Lipschitz Continuity to Vision Transformers [PDF]
, 2023 We present a Lipschitz continuous Transformer, called LipsFormer, to pursue training stability both theoretically and empirically for Transformer-based models.
Chen, Yihao +4 more
core +1 more source