About Some Linear Operators
Author(s) -
Ovidiu T. Pop
Publication year - 2007
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2007/91781
Subject(s) - mathematics , smoothness , rate of convergence , convergence (economics) , modulus of continuity , linear operators , spectral theorem , operator theory , construct (python library) , class (philosophy) , type (biology) , pure mathematics , mathematical analysis , key (lock) , ecology , artificial intelligence , computer science , economics , bounded function , biology , programming language , economic growth
Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a Voronovskaja-type theorem for these operators
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