منابع مشابه
Korovkin type theorem in the space C̃ b [ 0 , ∞ )
A Korovkin type theorem is established in the space C̃b[0,∞) of all uniformly continuous and bounded functions on [0,∞) for a sequence of positive linear operators, the approximation error being estimated with the aid of the usual modulus of continuity. As applications we obtain quantitative results for q-Baskakov operators. Mathematics Subject Classification (2010): 41A36, 41A25.
متن کاملKorovkin type approximation theorems in B-statistical sense
In this paper we consider the notion of A2 -statistical convergence for real double sequences which is an extension of the notion of AI -statistical convergence for real single sequences introduced by Savas, Das and Dutta. We primarily apply this new notion to prove a Korovkin type approximation theorem. In the last section, we study the rate of A2 -statistical convergence.
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Qualitative Korovkin-Type Results on Conservative Approximation
The well-known result of Korovkin [4] states that for a sequence of positive linear operators [Kn]n 1 , such that Kn f converges uniformly to f in the particular cases f (t)=1, f (t)=t, and f (t)=t, then it also converges for every continuous real function f. The set [1, t, t] is called a Korovkin set. This result was a starting point for the development of a related theory. Since then many pap...
متن کاملKorovkin-Type Theorems in Weighted Lp-Spaces via Summation Process
Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted Lp spaces, 1 ≤ p < ∞ for univariate and multivariate functions, respectively. Furthermore, we obtain these types of approximation theorems by means of A-summability which is a stronger convergence method than ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1989
ISSN: 0021-9045
DOI: 10.1016/0021-9045(89)90099-3