Title of article :
On Ideal Version of Lacunary Statistical Convergence of Double Sequences
Author/Authors :
Kumar، Sudhir نويسنده Department of Mathematics,Haryana College of Technology and Management,Haryana,India , , Kumar، Vijay نويسنده Department of Mathematics,Haryana College of Technology and Management,Haryana,India , , Bhatia، S.S. نويسنده School of Mathematics and Computer Applications,Thapar University,Punjab,India ,
Issue Information :
ماهنامه با شماره پیاپی سال 2013
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
Journal title :
General Mathematics Notes
