TY - JOUR ID - 369 TI - p-Lambda-bounded variation JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Hormozi, M. AU - Ledari, A. A. AU - Prus-Wisniowski, F. AD - Y1 - 2011 PY - 2011 VL - 37 IS - No. 4 SP - 35 EP - 49 KW - generalized bounded variation KW - Helly's theorem KW - modulus of variation DO - N2 - 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. UR - http://bims.iranjournals.ir/article_369.html L1 - http://bims.iranjournals.ir/article_369_2f78b06d6a5160a8245779456a3ea786.pdf ER -