Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine

Fernández Sánchez, JuanRodríguez Vidanes, Daniel LuisSeoane-Sepúlveda, Juan B.Trutschnig, W.2023-06-172023-06-172020-07-310022-247X10.1016/j.jmaa.2020.124433https://hdl.handle.net/20.500.14352/7273In 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.engAtribución-NoComercial-SinDerivadas 3.0 EspañaLineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchinejournal articlehttps://doi.org/10.1016/j.jmaa.2020.124433open access517LineabilityAlgebrabilityDenjoy integralRiemann integralLebesgue integralKhintchine integralAnálisis matemático1202 Análisis y Análisis Funcional