Criteria for statistical convergence with respect to power series methods
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Date
2021
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Abstract
In the present paper we give some criteria for statistical convergence with respect to power series method. The main tool for providing this result is the inverse Fourier transformation. We will also deal with sequences x that admit a factorization x=yz in which y is strongly convergent and z is statistically convergent with respect to a power series method.
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Keywords
Power series method, Statistical convergence, Strong convergence, Uniform integrability, Inverse Fourier transformation, Factorizing of sequences