Devrim Cakmak, Aydin Tiryaki
Abstract:
This article presents a generalization of Myers' theorem and
when the boundary assumption f'(a)=f'(b) is removed,
and to prove this result for holomorphic functions of one complex variable.
After that, the equivalence of Rolle's and mean value theorems in the complex
plane are proved.
Submitted November 29, 2011. Published February 29, 2012.
Math Subject Classifications: 39B22, 26A24.
Key Words: Rolle's theorem; mean value theorem; Flett's theorem;
holomorphic function.
Show me the PDF file (173 KB), TEX file, and other files for this article.
 |
Devrim Çakmak Gazi University, Faculty of Education Department of Mathematics Education 06500 Teknikokullar - Ankara, Turkey email: dcakmak@gazi.edu.tr |
|---|---|
 |
Aydin Tiryaki Izmir University, Faculty of Arts and Sciences Department of Mathematics and Computer Sciences 35350 Uckuyular - Izmir, Turkey email: aydin.tiryaki@izmir.edu.tr |
Return to the EJDE web page