Results 221 to 230 of about 9,657 (246)

Nonlinearity Properties of the Mixing Operations of the Block Cipher IDEA

2003
In this paper we study the nonlinearity properties of the mixing operations ⊙, \(\boxplus\) and ⊕ used in IDEA. We prove that the nonlinearity of the vector function corresponding to the multiplication operation ⊙ is zero for some key points. The Multiplication-Addition (MA) structure of IDEA is slightly changed to avoid the linearities due to these ...
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An Ergodic Property for Certain Classes of Nonlinear Positive Operators

1986
Publisher Summary This chapter focuses on an ergodic property for certain classes of nonlinear positive operators. The classical theorems of Perron–Frobenius and of Jentzsch on positive matrices and positive linear integral operators, respectively, have seen many extensions in various directions.
Takao Fujimoto, Ulrich Krause
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An approximation property of certain nonlinear Volterra integral operators

Mathematika, 1976
Let T be a nonlinear Volterra integral operator of the form (with I compact, a b ), whose kernel K = K ( x , t , u ) satisfies the following conditions ...
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Regularity Properties of a Nonlinear Operator Associated to the Conformal Welding

2000
As it is well known, given a plane simple closed curve $\zeta$ with nonvanishing tangent vector, there exists a pair of suitably normalized Riemann maps $(F,G)$, where $F$ maps the open unit disk $\mathbb{D}$ of $\mathbb{C}$ onto the domain $\mathbb{I}[\zeta]$ interior to $\zeta$, and where $G$ maps the exterior $\mathbb{C} \setminus \mathrm{cl ...
LANZA DE CRISTOFORIS, MASSIMO, PRECISO, LUCA   +1 more
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Nonlinear sampling type operators: Approximation properties and regular methods of summability

2001
The authors consider a general class of nonlinear integral operators of the form \[ (T_\omega f)(s)= \int_HK_\omega \bigl(s-h_\omega (t), f(h_\omega(t) \bigr)d \mu_H(t),\tag{1} \] where \(\omega>0\), \(s\in G\), \(G\) and \(H\) are topological groups, \(\{h_\omega\}\) is a family of homeomorphisms, \(\{K_\omega\}_{\omega >0}\) is a family of kernels ...
BARDARO, Carlo, VINTI, Gianluca
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Approximation by nonlinear integral operators via summability process

Mathematische Nachrichten, 2020
Ismail Aslan, Oktay Duman
exaly  

Some new theorems on the approximation of maximum product type of multivariate nonlinear Bernstein–Chlodowsky operators

Advances in Operator Theory, 2022
Özge Özalp Güller, Ecem Acar
exaly  

A specifically nonlinear property of the operator semigroup of the navier‐stokes equations

Communications on Pure and Applied Mathematics, 1982
Foiaş, Ciprian, Temam, R.
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Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces

Numerical Functional Analysis and Optimization, 2023
Danilo Costarelli, Mariarosaria Natale, Gianluca Vinti   +2 more
exaly  

On approximation properties of non-convolution type nonlinear integral operators

2010
Summary: We state some approximation theorems concerning pointwise convergence and its rate for a class of non-convolution type nonlinear integral operators of the form \[ T_\lambda (f;x)=\int\limits^B_A K_\lambda(t,x,f(t))\,\text{d}t,\;x\in \langle a,b\rangle,\;\lambda \in \Lambda.
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