A fast converging sampling operator
نویسندگان
چکیده
We construct a sampling operator with the property that smoother function is, faster its approximation is. establish direct estimate and weak converse of rate in uniform norm by means modulus smoothness $K$-functional. The case weighted is also considered. weights are positive power-type non-positive exponents at infinity. This preserves every algebraic polynomial.
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ژورنال
عنوان ژورنال: Constructive mathematical analysis
سال: 2022
ISSN: ['2651-2939']
DOI: https://doi.org/10.33205/cma.1172005