TY - JOUR
T1 - Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine
AU - Fernández-Sánchez, J
AU - Rodríguez-Vidanes, D.L.
AU - Seoane-Sepúlveda, J.B.
AU - Trutschnig, Wolfgang
PY - 2020/12/1
Y1 - 2020/12/1
N2 - In this paper, we continue the ongoing research on lineability related questions. On this occasion, we shall consider (among others) the classes of integrable functions (in the sense of Riemann, Lebesgue, Denjoy, and Khintchine), improving some already known results and expanding the study of lineability to other famous integrable classes never considered before.
AB - In this paper, we continue the ongoing research on lineability related questions. On this occasion, we shall consider (among others) the classes of integrable functions (in the sense of Riemann, Lebesgue, Denjoy, and Khintchine), improving some already known results and expanding the study of lineability to other famous integrable classes never considered before.
KW - Algebrability
KW - Denjoy integral
KW - Khintchine integral
KW - Lebesgue integral
KW - Lineability
KW - Riemann integral
UR - http://www.scopus.com/inward/record.url?scp=85088983685&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/1817da86-cfa9-3931-bd4d-4e3abd8d1e6b/
U2 - 10.1016/j.jmaa.2020.124433
DO - 10.1016/j.jmaa.2020.124433
M3 - Article
SN - 1096-0813
VL - 492
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
M1 - 124433
ER -