A characterization of weighted approximations by the Post-Widder and the Gamma operators
نویسندگان
چکیده
منابع مشابه
A Characterization of Weighted Lp Approximations by the Gamma and the Post-Widder Operators
We present a characterization of the approximation errors of the Post-Widder and the Gamma operators in Lp[0, ∞), 1 ≤ p ≤ ∞, with a weight x γ for any real γ. Two types of characteristics are used – weighted K-functionals of the approximated function itself and the classical fixed step moduli of smoothness taken on a simple modification of it.
متن کاملA characterization of weighted approximations by the Post-Widder and the Gamma operators
We present a characterization of the approximation errors of the PostWidder and the Gamma operators in Lp(0,∞), 1 ≤ p ≤ ∞, with a weight x for any real γ. Two types of characteristics are used – weighted Kfunctionals of the approximated function itself and the classical fixed step moduli of smoothness taken on a simple modification of it. AMS classification: 41A25, 41A27, 41A35, 41A36.
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We present a characterization of the approximation errors of the PostWidder and the Gamma operators in Lp(0,∞), 1 ≤ p ≤ ∞, with a weight x0(1 + x)γ∞−γ0 with arbitrary real γ0, γ∞. Two types of characteristics are used – weighted K-functionals of the approximated function itself and the classical fixed step moduli of smoothness taken on simple modifications of it. 2000 Mathematics Subject Classi...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2007
ISSN: 0021-9045
DOI: 10.1016/j.jat.2006.09.007