The basis of our considerations is a characterization of Baire class one functions presented by Pen-Yee Lee, Wee-Kee Tang, Doingsheng Zhao \cite{b1}. In the first part of this paper, we will prove an analogous characterization for functions belonging to the class $B_1^{**}$. In the last part, we will consider various classes of functions connected with the characterization mentioned above, which permits to give a new characterization of Baire class one functions.
@article{91, title = {On some characterizations of Baire class one functions and Baire class one like functions}, journal = {Tatra Mountains Mathematical Publications}, volume = {45}, year = {2010}, doi = {10.2478/tatra.v46i0.91}, language = {EN}, url = {http://dml.mathdoc.fr/item/91} }
Bąkowska, Anna; Pawlak, Ryszard J. On some characterizations of Baire class one functions and Baire class one like functions. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v46i0.91. http://gdmltest.u-ga.fr/item/91/