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On pΛbounded variation
 Bull. Iranian Math. Soc
"... Abstract. A characteriation of continuity of the pΛvariation function is given and the Helly’s selection principle for ΛBV (p) functions is established. A characterization of the inclusion of WatermanShiba classes into classes of functions with given integral modulus of continuity is given. A us ..."
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Abstract. A characteriation of continuity of the pΛvariation function is given and the Helly’s selection principle for ΛBV (p) functions is established. A characterization of the inclusion of WatermanShiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class ΛBV (p) is found. 1.