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Orhan, C.; Sakaoǧlu, I.

Rate of convergence in \(L_p\) approximation. (English) Zbl 1324.41019

Period. Math. Hung. 68, No. 2, 176-184 (2014).
Authors’ abstract: We give a Korovkin-type approximation theorem for a sequence of positive linear operators acting from \(L^{p}[a,b]\) into itself using the concept of \(\mathcal A\)-summation processes. We also study the rate of convergence of these operators.
Reviewer: Wlodzimierz Lenski (Poznan)

Cited in 5 Documents

MSC:

41A25 Rate of convergence, degree of approximation
41A36 Approximation by positive operators
40A05 Convergence and divergence of series and sequences

Keywords:

\(\mathcal A\)-summation process; positive linear operator; Korovkin-type theorem; second-order modulus of smoothness; rate of convergence
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References:

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