A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.
Hormozi, M., Ledari, A. A. & Prus-Wisniowski, F. (2011). p-Lambda-bounded variation. Bulletin of the Iranian Mathematical Society, 37(No. 4), 35–49.
MLA
Hormozi, M., Ledari, A. A., & Prus-Wisniowski, F. "p-Lambda-bounded variation", Bulletin of the Iranian Mathematical Society, 37, No. 4, 2011, 35–49.
HARVARD
Hormozi, M., Ledari, A. A., & Prus-Wisniowski, F. (2011). 'p-Lambda-bounded variation', Bulletin of the Iranian Mathematical Society, 37(No. 4), pp. 35–49.
CHICAGO
Hormozi, M., Ledari, A. A. & Prus-Wisniowski, F., "p-Lambda-bounded variation." Bulletin of the Iranian Mathematical Society, 37 No. 4 (2011): 35–49,
VANCOUVER
Hormozi M., Ledari A. A., Prus-Wisniowski F. p-Lambda-bounded variation. BIMS. 2011;37(No. 4):35–49.
