Title of article
On Ideal Version of Lacunary Statistical Convergence of Double Sequences
Author/Authors
Kumar ، Sudhir - Haryana College of Technology and Management , Kumar ، Vijay - Haryana College of Technology and Management , Bhatia ، S.S. - Thapar University
Pages
13
From page
32
To page
44
Abstract
For any double lacunary sequence θ_rs = {(kr, ls)} and an admissible ideal I2 ⊆ P(N × N), the aim of present work is to define the concepts of Nθrs (I2)− and Sθrs (I2)−convergence for double sequence of numbers. We also present some inclusion relations between these notions and prove that Sθrs (I2)∩L^ 2 ∞ and S2(I2) ∩L 2 ∞ are closed subsets of L^2 ∞, the space of all bounded double sequences of numbers.
Keywords
Double sequences and multiple sequences , I−convergence , Lacunary sequences , Statistical convergence.
Journal title
General Mathematics Notes
Serial Year
2013
Journal title
General Mathematics Notes
Record number
2457503
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