A Study on $f$-Rectifying Curves in Euclidean $n$-Space

A rectifying curve in the Euclidean $n$-space $\mathbb{E}^n$ is defined as an arc-length parametrized $\gamma$ such that its position vector always lies space (i.e., orthogonal complement of principal normal field) $\mathbb{E}^n$. In this paper, analogy to this, we introduce notion $f$-rectifying a by $s$ $f$-position field $\gamma_f$, $\gamma_f(s) = \int f(s) d\gamma$, $\mathbb{E}^n$, where $f$ nowhere vanishing real-valued integrable function parameter $s$. The main purpose characterize and classify curves