Author/Authors :
HORMOZI, M. Chalmers University of Technology - Department of Mathematical Sciences, Sweden , HORMOZI, M. University of Gothenburg - Division of Mathematics, Sweden , LEDARI, A. A. university of sistan and baluchestan - Department of Mathematics, زاهدان, ايران , PRUS-WISNIOWSKI, F. Uniwersytet Szczecinski - Instytut Matematyki, Poland
Abstract :
A characteriation of continuity of the p-Lambda-variation function is given and the Helly’s selection principle for LambdaBV ^(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 LambdaBV ^(p) is found.
