On Double Sequences
Patterson, Richard F. · Cakalli, Huseyin
Original · EN
A double sequence {xₖ,ₗ} is quasi-Cauchy if given an ε> 0 there exists an N ∈ N such that,s= 1 and/or 0 {|xₖ,ₗ - xₖ₊ᵣ,ₗ₊ₛ|< ε }. We study continuity type properties of factorable double functions defined on a double subset A× A of R² into R, and obtain interesting results related to uniform continuity, sequential continuity, continuity, and a newly introduced type of continuity of factorable double functions defined on a double subset A× A of R² into R.
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