Sliding window convergence and lacunary statistical convergence for measurable functions via modulus function

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.

Bibliographic Details
Main Authors: Mohammad Mursaleen, Kuldip Raj
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
modulus function
sliding window method
statistical convergence
lacunary statistical convergence
measurable functions
Cauchy criteria
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29594

Internet

http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29594

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