Results 111 to 120 of about 606,824 (183)

Note on a Korovkin-type theorem

open access: yesJournal of Mathematical Analysis and Applications, 2014
A new Korovkin type theorem is established, giving a system of conditions which insures the convergence in \(C[0,1]\) of a sequence \((L_{n})_{n \geq 1}\) of positive linear operators to its limit operator denoted by \(L_{\infty}.\) The approximation error \(| L_{n}(f,x)-L_{\infty}(f,x) |,\) \(f \in C[0,1],\) \(x \in [0,1],\) is estimated by the first ...
openaire   +2 more sources

On theorems of Korovkin

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1963
Choda, Hisashi, Echigo, Marie
openaire   +2 more sources

Korovkin theorem in symmetric spaces

open access: yes, 1987
Summary: We give a simple proof of the following theorem: the set \(\{\) 1,sin x,cos \(x\}\) is an \({\mathcal L}\) \(+\)-Korovkin set in a symmetric space \(X_{2\pi}\in Int\) if and only if \(X_{2\pi}\) is separable.
openaire   +2 more sources

Generalized [Formula: see text]-Bleimann-Butzer-Hahn operators and some approximation results. [PDF]

open access: yesJ Inequal Appl, 2017
Mursaleen M   +3 more
europepmc   +1 more source

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