On the approximation of integrable functions by functions of bounded variation
Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 14 (1960) no. 2, pp. 133-140. 
@article{ASNSP_1960_3_14_2_133_0,
     author = {Reid, William T.},
     title = {On the approximation of integrable functions by functions of bounded variation},
     journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
     pages = {133--140},
     publisher = {Scuola normale superiore},
     volume = {Ser. 3, 14},
     number = {2},
     year = {1960},
     mrnumber = {126514},
     zbl = {0097.27503},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1960_3_14_2_133_0/}
}
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Reid, William T. On the approximation of integrable functions by functions of bounded variation. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 14 (1960) no. 2, pp. 133-140. http://archive.numdam.org/item/ASNSP_1960_3_14_2_133_0/

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