Temat: modulus of smoothness - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Approximation by bivariate Mazhar-Totik operators
Autorzy:: Wachnicki, Eugeniusz
Powiązania:: https://bibliotekanauki.pl/articles/746253.pdf
Data publikacji:: 2010
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: positive linear operator
rate of convergence
Voronovskaya theorem
modulus of continuity
modulus of smoothness
mixed modulus of smoothness
limit problem
Opis:: The aim of this paper is to study a bivariate version of the operator investigated in [2], [4]. We shall present Voronovskaya type theorem and theorems giving a rate of convergence of this operator. Some applications for the limit problem are indicated.
Źródło:: Commentationes Mathematicae; 2010, 50, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Approximation by Durrmeyer-type operators
Autorzy:: Gupta, Vijay
Srivastava, G.
Powiązania:: https://bibliotekanauki.pl/articles/1311057.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: modulus of smoothness
global direct theorem
differential and integral operators
Opis:: We define a new kind of Durrmeyer-type summation-integral operators and study a global direct theorem for these operators in terms of the Ditzian-Totik modulus of smoothness.
Źródło:: Annales Polonici Mathematici; 1996, 64, 2; 153-159
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Refined rates of bias convergence for generalized L-Statistics in the i.i.d. case
Autorzy:: Anastassiou, George
Rychlik, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/1338689.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Bernstein operator
modulus of smoothness
generalized L-statistic
Kantorovich operator
bias
positive linear operator
random weighting
Bernstein-Durrmeyer operator
K-functional
rate of convergence
Opis:: Using tools of approximation theory, we evaluate rates of bias convergence for sequences of generalized L-statistics based on i.i.d. samples under mild smoothness conditions on the weight function and simple moment conditions on the score function. Apart from standard methods of weighting, we introduce and analyze L-statistics with possibly random coefficients defined by means of positive linear functionals acting on the weight function.
Źródło:: Applicationes Mathematicae; 1999, 26, 4; 437-455
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

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

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