On the right preponderant limit (Q2501040)

The author investigates the right preponderent limit of a function and generalizes the result of D. N. Sarkhel on Baire one functions. The main result is the theorem: Let \(F:R\rightarrow R\) be a measurable function (in the Lebesgue sense). If a function \(f:R\rightarrow R\) is such that \(f(x)\in L_{r}(F,x)\) for all \(x\in R\), then \(f\) is of Baire one class.