Dong Li-hua
Abstract
Bounded varization and weak bounded variation of vector-valued functions is equivalent.And strong bounded variation is (weak) bounded variation,but the converse is not true.In this paper,we discussed the condition of strong,weak bounded variation,then proved the equivalance of strong bounded variation and weak bounded variation in the special case.
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Bounded varization and weak bounded variation of vector-valued functions is equivalent.And strong bounded variation is (weak) bounded variation,but the converse is not true.In this paper,we discussed the condition of strong,weak bounded variation,then proved the equivalance of strong bounded variation and weak bounded variation in the special case.
Key concepts: Bounded function, Converse, Bounded variation, Bounded deformation, Variation (astronomy), Mathematics, Bounded operator, Bounded inverse theorem