Sentence examples for converse approximation from inspiring English sources

As an application of the converse approximation, an algorithm based on the converse approximation called REBCA is designed for decision-rule extraction from a decision table, which has a time complexity of O m2|C|2|U|log2|U|), and its practical applications are illustrated by two examples.

The converse approximation of a target concept under a granulation order is defined and some of its important properties are obtained, which can be used to characterize the structure of a set approximation.

The main purpose of the present paper is to establish pointwise direct and converse approximation theorems of approximation by (widetilde {S}_{n,alpha,beta} ( f,x ) ).

Direct and converse theorems for approximation with networks with such activation functions are also obtained in that paper.

Converse theorems for approximation by elements of (mathbb{G }_j) can be obtained using Corollary 4.3, cf. [12, Theorem 9.1, also Chapter 6.7].

In the present paper, we introduce a kind of Durrmeyer variant of Bernstein-Stancu operators, and we obtain the direct and converse results of approximation by the operators.

Later on, it was observed by Schaback and Wendland [73], and independently in [42] in the context of the so-called Gaussian networks that it is the minimal separation among the centers, cf. Definition 3.2, of the network which leads to a complete theory of direct and converse theorems for approximation in this context.

In this paper, we introduce K-functional and modulus of smoothness of the unit sphere in the Ba space, establish their relations and obtain the direct and converse theorem of approximation in the Ba space for Jackson-Matsuoka polynomials on the unit sphere of R d. MSC 41A25, 41A35, 41A63.

Analogues of the direct and converse theorems in the case of approximation on the sphere are given, for instance, by Pawelke [71] and Lizorkin and Rustamov [35].

If the undamped mode is taken as the first approximation, the inverse iteration will converse to the corresponding damped mode in about four iterations.

The strong converse inequality is an important problem of operator approximation theory.