Sliding window convergence and lacunary statistical convergence for measurable functions via modulus function
In this paper we study the concepts of sliding window convergence for real valued measurable functions dened on [0,1) via modulus function. We also establish some inclusions and consistency theorems for sequential methods along with examples. Finally, we give a Cauchy convergence criterion.
Main Authors: | Mohammad Mursaleen, Kuldip Raj |
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Format: | Article |
Language: | English |
Published: |
Sociedade Brasileira de Matemática
2018-01-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Subjects: | |
Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29594 |
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