Title of article
Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: image-estimates Original Research Article Pages 243-255 Heiner Gonska, Margareta Heilmann, Ioan Raşa Close preview | Related articles | Related refe
Author/Authors
Heiner Gonska، نويسنده , , Margareta Heilmann، نويسنده , , Ioan Rasa، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
13
From page
243
To page
255
Abstract
In the present note a general inequality for the degree of approximation of semigroups by iterates of commuting bounded linear operators on Banach spaces is given. Combining this with a recent quantitative Voronovskaja-type result applications to Durrmeyer operators with ultraspherical weights are derived. Our considerations include the genuine Bernstein–Durrmeyer operators.
Keywords
* semigroup , * Genuine Bernstein–Durrmeyer operators , * degree of approximation , * Operators on Banach spaces , * moduli of smoothness , * Bernstein–Durrmeyer operators with ultraspherical weights
Journal title
Journal of Approximation Theory
Serial Year
2009
Journal title
Journal of Approximation Theory
Record number
852677
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