TY - JOUR
TI - McShane Integrability Using Variational Measure
PY - 2020/04/29
Y2 - 2024/07/22
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 13
IS - 2
LA - en
DO - 10.29020/nybg.ejpam.v13i2.3659
UR - https://doi.org/10.29020/nybg.ejpam.v13i2.3659
SP - 303-313
AB - If f : [a, b] â†’ R is McShane integrable on [a, b], then f is McShane integrable on every Lebesgue measurable subset of [a, b]. However, integrability of a real-valued function on [a, b] does not imply McShane integrability on any E âŠ† [a, b]. In this paper, we give a characterization for the McShane integrability of f : [a, b] â†’ R over E âŠ† [a, b] using concept of variational measure.
ER -