p-Lambda-bounded variation

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چکیده مقاله:

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.

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عنوان ژورنال

دوره 37  شماره No. 4

صفحات  35- 49

تاریخ انتشار 2011-12-15

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