Criteria for statistical convergence with respect to power series methods

Criteria for statistical convergence with respect to power series methods

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 = y z in which y is strongly convergent and z is...

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis Vol. 25; no. 3; pp. 1097 - 1105
Main Author: Şahin Bayram, Nilay
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01-07-2021
Springer Nature B.V
Subjects:
Calculus of Variations and Optimal Control; Optimization
Convergence
Criteria
Econometrics
Fourier Analysis
Fourier transforms
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Power series
Sequences
Power series method
Strong convergence
Inverse Fourier transformation
40A35
Uniform integrability
40C15
Factorizing of sequences
40F05
Statistical convergence
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Summary: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 = y z in which y is strongly convergent and z is statistically convergent with respect to a power series method.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-020-00801-6