Korovkin and Weierstrass approximation via lacunary statistical sequences. (English) Zbl 1142.41304

From the summary: In this study we extend the Korovkin and Weierstrass approximation theorem to lacunary statistically convergent sequences. In addition to these approximations we also establish lacunary statistically convergent sequences of degree \(\beta\) and establish a corresponding Korovkin type theorem.


41A36 Approximation by positive operators
41A10 Approximation by polynomials
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