Variation Preserving Extensions and Generalized Essential Variation |
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| Authors: | Ponomarev S P |
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| Institution: | (1) Institute of Mathematics, Pedagogical University, Slupsk, Poland |
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| Abstract: | A mapping from a subset of the real axis to a metric space with finite generalized variation is shown to admit extension to a mapping of the whole real axis with the same variation. This result leads to characterization of the generalized essential variation of a mapping. |
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| Keywords: | metric space generalized variation generalized essential variation |
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