Statistical limit superior and limit inferior
Statistical limit superior and limit inferior
Following the concept of statistical convergence and statistical cluster points of a sequence $x$, we give a definition of statistical limit superior and inferior which yields natural relationships among these ideas: e.g., $x$ is statistically convergent if and only if $\textrm {st}\text {-}\textrm {liminf} x= \textrm {st}\text {-}\textrm {limsup} x$. …