Matika, Monika
(2015)
*Neke generalizacije Lagrangeovog teorema srednje vrijednosti.*
Diploma thesis, Faculty of Science > Department of Mathematics.

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## Abstract

In this paper we studied the mean value theorems and theirs generalizations. First we considered Lagrange’s, Rolle’s, Cauchy’s and Flett’s mean value theorem for real-valued functions of a real variable and showed their geometric interpretations. Furthermore, we gave examples to illustrate how we can use these theorems in solving problems. After that, we considered the mean value theorems and theirs generalizations for the functions of several variables, first for the real-valued functions of several real variables, then for the vector valued functions of one real variable and, finally, for the vector-valued functions of several real variables. In addition, we gave an example to illustrate that the mean value theorem cannot be directly extended in this more general situation. Finally, we discussed the mean value theorem for the complex-valued functions of a complex variable.

Item Type: | Thesis (Diploma thesis) |
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Supervisor: | Arambašić, Ljiljana |

Date: | 2015 |

Number of Pages: | 47 |

Subjects: | NATURAL SCIENCES > Mathematics |

Divisions: | Faculty of Science > Department of Mathematics |

Depositing User: | Iva Prah |

Date Deposited: | 05 Jun 2015 11:13 |

Last Modified: | 05 Jun 2015 11:13 |

URI: | http://digre.pmf.unizg.hr/id/eprint/4013 |

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