Results 31 to 40 of about 10,024,030 (363)

Approximation properties of β-expansions [PDF]

open access: yesActa Arithmetica, 2015
Let $ \in(1,2)$ and $x\in [0,\frac{1}{ -1}]$. We call a sequence $( _{i})_{i=1}^\infty\in\{0,1\}^{\mathbb{N}}$ a $ $-expansion for $x$ if $x=\sum_{i=1}^{\infty} _{i} ^{-i}$. We call a finite sequence $( _{i})_{i=1}^{n}\in\{0,1\}^{n}$ an $n$-prefix for $x$ if it can be extended to form a $ $-expansion of $x$.
openaire   +3 more sources

Nested Artin strong approximation property [PDF]

open access: yesJournal of Pure and Applied Algebra, 2018
In this form it will appear in Journal of Pure and Applied ...
Kosar, Zunaira, Popescu, Dorin
openaire   +3 more sources

Approximation Properties in Felbin Fuzzy Normed Spaces

open access: yesMathematics, 2019
In this paper, approximation properties in Felbin fuzzy normed spaces are considered. These approximation properties are new concepts in Felbin fuzzy normed spaces.
Ju Myung Kim, Keun Young Lee
doaj   +1 more source

The bounded approximation property of variable Lebesgue spaces and nuclearity [PDF]

open access: yes, 2015
In this paper we prove the bounded approximation property for variable exponent Lebesgue spaces, study the concept of nuclearity on such spaces and apply it to trace formulae such as the Grothendieck-Lidskii formula.
J. Delgado, Michael Ruzhansky
semanticscholar   +1 more source

A Note on Generalized Approximation Property

open access: yesJournal of Function Spaces and Applications, 2013
We introduce a notion of generalized approximation property, which we refer to as --AP possessed by a Banach space , corresponding to an arbitrary Banach sequence space and a convex subset of , the class of bounded linear operators on .
Antara Bhar, Manjul Gupta
doaj   +1 more source

On approximation of homomorphisms of algebras of entire functions on Banach spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
It is known due to R. Aron, B. Cole and T. Gamelin that every complex homomorphism of the algebra of entire functions of bounded type on a Banach space $X$ can be approximated in some sense by a net of point valued homomorphism. In this paper we consider
H.M. Pryimak
doaj   +1 more source

Deep Stochastic Configuration Networks with Universal Approximation Property

open access: yesIEEE International Joint Conference on Neural Network, 2017
This paper develops a randomized approach for incrementally building deep neural networks, where a superviso- ry mechanism is proposed to constrain the random assignment of the weights and biases, and all the hidden layers have direct links to the output
Dianhui Wang, Ming Li
semanticscholar   +1 more source

THE PROPERTIES OF ROUGH APPROXIMATIONS [PDF]

open access: yesKorean Journal of Mathematics, 2011
Summary: We investigated the properties of rough approximations induced by two families of preordered sets and closure systems. We study the relations among the lower and upper rough approximations, closure and interior systems, preordered sets.
Kim, Yong Chan, Ko, Jung Mi
openaire   +1 more source

A complete characterization of connected Lie groups with the Approximation Property [PDF]

open access: yes, 2014
We give a complete characterization of connected Lie groups with the Approximation Property for groups (AP). To this end, we introduce a strengthening of property (T), that we call property (T*), which is a natural obstruction to the AP.
U. Haagerup, Søren Knudby, T. D. Laat
semanticscholar   +1 more source

Approximation properties of -expansions II [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2017
Let $\unicode[STIX]{x1D6FD}\in (1,2)$ be a real number. For a function $\unicode[STIX]{x1D6F9}:\mathbb{N}\rightarrow \mathbb{R}_{\geq 0}$, define $W_{\unicode[STIX]{x1D6FD}}(\unicode[STIX]{x1D6F9})$ to be the set of $x\in \mathbb{R}$ such that for infinitely many $n\in \mathbb{N},$ there exists a sequence $(\unicode[STIX]{x1D716}_{i})_{i=1}^{n}\in \{0 ...
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