Measurability of similar functions
نویسندگان
چکیده
منابع مشابه
The Measurability of Extended Real Valued Functions
For simplicity, we follow the rules: X denotes a non empty set, x denotes an element of X , f , g denote partial functions from X to R, S denotes a σ-field of subsets of X , F denotes a function from Q into S, p denotes a rational number, r denotes a real number, n, m denote natural numbers, and A, B denote elements of S. Let us consider X and let us consider f . We say that f is finite if and ...
متن کاملEffective Borel measurability and reducibility of functions
The investigation of computational properties of discontinuous functions is an important concern in computable analysis. One method to deal with this subject is to consider effective variants of Borel measurable functions. We introduce such a notion of Borel computability for single-valued as well as for multi-valued functions by a direct effectivization of the classical definition. On Baire sp...
متن کاملLebesgue Measurability of Separately Continuous Functions and Separability
A connection between the separability and the countable chain condition of spaces with L-property (a topological space X has L-property if for every topological space Y , separately continuous function f : X ×Y →R and open set I ⊆R, the set f −1(I) is an Fσ-set) is studied. We show that every completely regular Baire space with the L-property and the countable chain condition is separable and c...
متن کاملOn the Lebesgue Measurability of Continuous Functions in Constructive Analysis
The paper opens with a discussion of the distinction between the classical and the constructive notions of "computable function." There then follows a description of the three main varieties of modern constructive mathematics: Bishop's constructive mathematics, the recursive constructive mathematics of the Russian School, and Brouwer's intuitionistic mathematics. The main purpose of the paper i...
متن کاملReconstruction of self - similar functions
We provide a solution to the problem of reconstructing a fractal interpolation function from its scale-space zeros. Every fractal interpolation function f has a graph that is the attractor of an iterated functions system deened by contractive maps w1; : : : ; wN. We construct approximations of these maps from ngerprints in scale-space.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2017
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2017.4246