A Result on Convergence of Double Sequences of Measurable Functions
Senan Sekhon
TL;DR
This paper explores the convergence properties of double sequences of measurable functions, extending classical results on numerical sequences to the functional setting.
Contribution
It provides a new result on the convergence of double sequences of measurable functions, expanding existing theories in measure theory.
Findings
Established conditions for convergence of double measurable function sequences
Extended classical convergence theorems to two-dimensional sequences
Provided a framework for analyzing double sequence convergence in measure theory
Abstract
We investigate a result on convergence of double sequences of numbers and how it extends to measurable functions.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Fixed Point Theorems Analysis · Mathematical Approximation and Integration