CONVERGENCE OF COMONOTONE HISTOPOLATING SPLINES
نویسندگان
چکیده
منابع مشابه
Nearly Comonotone Approximation
We discuss the degree of approximation by polynomials of a function f that is piecewise monotone in ?1; 1]. We would like to approximate f by polynomials which are comonotone with it. We show that by relaxing the requirement for comonotonicity in small neighborhoods of the points where changes in monotonicity occur and near the endpoints, we can achieve a higher degree of approximation. We show...
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When we approximate a continuous function f which changes its monotonicity nitely many, say s times, in ?1; 1], we wish sometimes that the approximating polynomials follow these changes in monotonicity. However, it is well known that this requirement restricts very much the degree of approximation that the polynomials can achieve, namely, only the rate of ! 2 (f; 1=n) and even this not with a c...
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ژورنال
عنوان ژورنال: Mathematical Modelling and Analysis
سال: 2015
ISSN: 1392-6292,1648-3510
DOI: 10.3846/13926292.2015.1006155