Statistical extension of the Korovkin-type approximation theorem
Statistical extension of the Korovkin-type approximation theorem
Summary: In this paper, using the concept of statistical -convergence which is stronger than convergence and statistical convergence we obtain a Korovkin type approximation theorem for sequences of positive linear operators from \(H\omega\) to \(CB(I)\) where \(I = [0; 1)\) and \(\omega\) is a modulus of continuity type functions. Also, we construct an example such that our new approximation result works but its classical and statistical cases do not. We also compute the rates of statistical -convergence of sequence of positive linear operators.
- Sinop University Turkey
statistical \(\sigma\)-convergence, Approximation by positive operators, Rate of convergence, degree of approximation, statistical convergence, rate of convergence
statistical \(\sigma\)-convergence, Approximation by positive operators, Rate of convergence, degree of approximation, statistical convergence, rate of convergence
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