@article { author = {Hormozi, M. and Ledari, A. and Prus-Wisniowski, F.}, title = {p-Lambda-bounded variation}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {37}, number = {No. 4}, pages = {35-49}, year = {2011}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {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.}, keywords = {generalized bounded variation,Helly's theorem,modulus of variation}, url = {http://bims.iranjournals.ir/article_369.html}, eprint = {http://bims.iranjournals.ir/article_369_2f78b06d6a5160a8245779456a3ea786.pdf} }