On Ideal Version of Lacunary Statistical Convergence of Double Sequences
نویسندگان
چکیده
For any double lacunary sequence θrs = {(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)∩`∞ and S2(I2)∩ `∞ are closed subsets of `∞, the space of all bounded double sequences of numbers.
منابع مشابه
On asymptotically double lacunary statistical equivalent sequences in ideal context
*Correspondence: [email protected] 1Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh 791112, India Full list of author information is available at the end of the article Abstract An ideal I is a family of subsets of positive integers N×N which is closed under taking finite unions and subsets of its elements. In this paper, we present some definitions w...
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