This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches ...

In the fifth century B.C., the Greek philosopher Zeno of Elea attempted to demonstrate that motion is only an illusion by proposing the following paradox: Achilles the warrior is in a footrace with a ...

THIS work is designed to give a systematic treatment of convergence-factor theorems, where these consist of results concerning the relationship between a definition based on mean-values and a formally ...

This paper considers a series estimator of 𝗕E[α(Y) λ(X) = λ̄], (α,λ) ∈ 𝒜 × Λ, indexed by function spaces, and establishes the estimator's uniform convergence rate over λ̄ ∈ R, α ∈ 𝐑, and λ ∈ Λ, ...