Statistical convergence of functional sequences (Q908247)

The authors study the statistical convergence in Lebesgue spaces \(L_p\). They introduce the concept of statistical fundamentality in \(L_p\) and prove that statistical fundamentality and statistical convergence are equivalent in \(L_p\). They also prove that analogues of some Tauberian theorems in [\textit{J. A. Fridy}, Analysis 5, 301--313 (1985; Zbl 0588.40001)] are valid in their case.