Murdianingsih, Indah Dwi (2019) *FUNCTION OF BOUNDED VARIATION IN THE RESTRICTED ON SET AND FUNCTION OF ABSOLUTE CONTINUOUS IN THE RESTRICTED ON SET.* Undergraduate thesis, UNDIP.

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## Abstract

Function of bounded variation in the restricted on set are denoted by BV* . BV* functions is a function with finite strong variation. Every BV* function is bounded variation functions, and in the interval BV* functions equals bounded variation functions. Some properties of function are applied in BV* functions; there is multiplication with scalar, sum of two functions, and product of two functions. Every BV* functions on E is also a BV* functions on E . Function of absolute continuous in the restricted on set are denoted by AC* . AC* functions is a function that is stronger than absolutely continuous functions. Every AC* function is absolutely continuous function, and in the interval AC* functions equals absolutely continuous functions. Some properties of AC* function are multiplication with scalar, absolute value of function, sum of two functions, and product of two functions. Every AC* function on E is a AC* functions on any subset of E . Every AC* function is BV* functions. This final discusses about BV* function and AC* function. Keywords: function of bounded variation in the restricted on set, function of absolute continuous in the restricted on set.

Item Type: | Thesis (Undergraduate) |
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Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science and Mathematics > Department of Mathematics |

ID Code: | 84264 |

Deposited By: | Admin Departemen Matematika |

Deposited On: | 13 Jun 2022 10:39 |

Last Modified: | 13 Jun 2022 10:39 |

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