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- H H Gonska, G Freiling
- 2006

Fuzzy control has achieved numerous successful industrial applications. However, stability analysis for fuzzy control systems remains a difficult problem, and most of the critical comments on fuzzy control are due to the lack of a general method for its stability analysis. Although significant research efforts have been made in the literature, appropriate… (More)

We discuss whether or not it is possible to have interpolatory pointwise estimates in the approximation of a function f 2 C 0; 1], by polynomials. For the sake of completeness as well as in order to strengthen some existing results, we discuss brieey the situation in unconstrained approximation. Then we deal with positive and monotone constraints where we… (More)

- Laura Beutel, Heinz H. Gonska
- Numerical Algorithms
- 2003

Our results describe how quantitative properties of univariate operators are inherited by the tensor product of their parametric extensions. This includes statements concerning simultaneous approximation. The estimates are in terms of partial and total moduli of smoothness of higher order. Applications are given for cubic interpolatory splines and Bernstein… (More)

- H H Gonska, X.-L Zhou
- 2003

Keywords-Berns te in-Kantorovich operators, Strong converse inequality, Degree of approximation, K-functional. 1 . I N T R O D U C T I O N A N D M A I N R E S U L T S Recen t ly two independen t proofs of a s t rong converse inequal i ty (of t ype A, accord ing to the c lass i f icat ion of Di tz ian and Ivanov [1]) were given for the classical Berns te in… (More)

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