Abstract
In this paper, using homogeneous groups, we prove a Korovkin type approximation theorem for a spline groupby using the notion of a generalization of positive linear operator.
Highlights
Introduction and PreliminariesIn this work, we prove a Korovkin approximation theorem by applying the notion of spline with homogeneous groups
In this paper, using homogeneous groups, we prove a Korovkin type approximation theorem for a spline group by using the notion of a generalization of positive linear operator
We prove a Korovkin approximation theorem by applying the notion of spline with homogeneous groups
Summary
We prove a Korovkin approximation theorem by applying the notion of spline with homogeneous groups. The development of Korovkin type approximation theorem is far from complete In this field, Mursaleen work as follows: Statistical lacunary summability and strongly θq-convergence ( 0 < q < ∞ ) and establish some relations between lacunary statistical convergence, statistical lacunary summability and strongly θq -convergence Let K ⊆ N, the A-density of K denoted by δA(K) is defined to be δA(K) = limj ∑n∈K ajn provided that the limit exists Using this A-density, we say that a sequence x = (xn) is A-statistically convergent to L if and only if δA(K(ε)) = 0 for every ε > 0, where K(ε) = *n ∈ N: |xn − L| ≥ ε+.
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