Abstract. In this work, we discuss various kinds of ℐ₂-uniform convergence for double sequences of functions and introduce the concepts of ℐ₂ and ℐ 2 ∗ -uniform convergence, ℐ₂-uniformly Cauchy ...

Double sequence spaces extend the classical notion of sequence spaces to encompass two-indexed structures, thereby providing a robust framework for the analysis of functions and operators in ...

Provides a rigorous treatment of topics covered in Calculus 1 and 2. Topics include convergent sequences; continuous functions; differentiable functions; Darboux sums, Riemann sums, and integration; ...

This is a preview. Log in through your library . Abstract Let $\{f_k\}$ be a sequence of continuous real valued functions defined on an interval $I$ and $N$ a fixed ...