Home Contact Chinese CAS
Home  About Us    Research     People   International Cooperation   News     Papers   Education & Training  Join Us
Location: Home > Research > Colloquia & Seminars

Mean Value Theorems in Higher Dimensions and Their Applications
【2013.5.10 4:00pm,Z301】

 Date:03-12-2013 Page Views:
Print
Text Size: A A A
Close

 2013-5-09 

  Colloquia & Seminars 

  Speaker

      

   Prof.Wei-Chi YANG,Department of Mathematics and Statistics, Radford University, USA

  Title

  

  Mean Value Theorems in Higher Dimensions and Their Applications          

 

  Time

  2013.5.10 4:00pm                       

  Venue

  Z301

  Abstract

   

In this paper, we describe the Mean Value Theorem (MVT) and Cauchy Mean Value Theorem (CMVT) when considering an Rn-1 dimensional hyperplane intersects an Rn-1 dimensional smooth surface in Rn. We demonstrate how we derive the the proofs of MVT and CMVT by applying techniques described in [Yang]. We further discuss how the theorems can be extended by replacing the hyperplane with another smooth surface. Next, we link MVT to problems of finding the extreme values for a smooth function subject to several constraints. We use technological tools to show how we can obtain the solutions that are guaranteed by our theories. Complete paper can be found at https://php.radford.edu/~ejmt/deliveryBoy.php?paper=eJMT_v6n1p1.

Reference.

[Yang] W.-C. Yang, .Revisit Mean Value, Cauchy Mean Value and Lagrange Remainder Theorems, Electronic Journal of Mathematics and Technology (eJMT), ISSN 1933-2823, Issue 2, Vol.1, June, 2007.

  Affiliation

 

 

[ Close ]  [ Top ]
  Copyright © 2012, All Rights Reserved, National Center for Mathematics and Interdisciplinary Sciences, CAS
Tel: 86-10-62613242 Fax: 86-10-62616840 E-mail: ncmis@amss.ac.cn