Temat: continuity - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Representation formulae for (C₀) m-parameter operator semigroups
Autorzy:: Zhou, Mi
Anastassiou, George
Powiązania:: https://bibliotekanauki.pl/articles/1311136.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: multi-parameter operator semigroups
representation formulae
multivariate approximation
sum of random vectors
Banach space
multiplier enlargement method
rate of convergence
second modulus of continuity
inequalities
Opis:: Some general representation formulae for (C₀) m-parameter operator semigroups with rates of convergence are obtained by the probabilistic approach and multiplier enlargement method. These cover all known representation formulae for (C₀) one- and m-parameter operator semigroups as special cases. When we consider special semigroups we recover well-known convergence theorems for multivariate approximation operators.
Źródło:: Annales Polonici Mathematici; 1996, 63, 3; 247-272
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On some shift invariant integral operators, univariate case
Autorzy:: Anastassiou, George
Gonska, Heinz
Powiązania:: https://bibliotekanauki.pl/articles/1311499.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: global smoothness preservation
convergence to the unit with rates
Jackson type inequalities
sharp inequalities
modulus of continuity
integral operators
shift invariant operators
convolution type operators
shape preserving operators
probabilistic distribution function
Opis:: In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and preservation of continuous probabilistic functions. Finally, four examples of very general specialized operators are presented fulfilling all the above properties; in particular, the inequalities for global smoothness preservation are proven to be sharp.
Źródło:: Annales Polonici Mathematici; 1995, 61, 3; 225-243
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja