Temat: smoothness - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Dini continuity of the first derivatives of generalized solutions to the Dirichlet problem for linear elliptic second order equations in nonsmooth domains
Autorzy:: Borsuk, Mikhail
Powiązania:: https://bibliotekanauki.pl/articles/1294311.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: elliptic equations
nonsmooth domains
Dini continuous
smoothness of generalized solutions
Opis:: We consider generalized solutions to the Dirichlet problem for linear elliptic second order equations in a domain bounded by a Dini-Lyapunov surface and containing a conical point. For such solutions we derive Dini estimates for the first order generalized derivatives.
Źródło:: Annales Polonici Mathematici; 1998, 69, 2; 129-154
0066-2216
Pojawia się w:: Annales Polonici Mathematici
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:: 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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