On the right preponderant limit. (English) Zbl 1110.26005

Grande, Zbigniew

Real Anal. Exch. 30(2004-2005), No. 2, 837-842 (2005).

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.

Reviewer: Corina Mohorianu (Iaşi)

MSC:

26A21	Classification of real functions; Baire classification of sets and functions
26A24	Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems

Keywords:

density; Baire 1 class; Baire one functions