KARAMATA INEQUALITY PDF

Published by on January 13, 2020
Categories: Travel

Wikipedia says that Jensen’s inequality is a special case of Karamata’s inequality . Hence, if a function satisfies Karamata’s inequality, it satisfies. PDF | Three classical general inequalities—those of Karamata, Schur and Muirhead—are proved in this article. They can be used in proving other inequali- ties. jorization inequality where the majorization condition is replaced by a more The inequality presented in the article is a consequence of Karamata’s majoriza-.

Author: Kazralar Magami
Country: Uganda
Language: English (Spanish)
Genre: Relationship
Published (Last): 18 August 2011
Pages: 400
PDF File Size: 2.29 Mb
ePub File Size: 18.86 Mb
ISBN: 674-1-46625-841-1
Downloads: 78841
Price: Free* [*Free Regsitration Required]
Uploader: Tojin

Hence there is a strictly positive term in the sum on the right hand side of 7 and equality in 1 cannot hold. Just as the Jensen inequality is used to define convex functions, can the Inequaliy inequality be used instead to define convex functions? Sign up or log in Sign up using Google.

Consider the real numbers x 1. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. The finite form of Jensen’s inequality is a special case of this result.

  BOSQUEJOS DE SERMONES PARA SERVICIOS FUNERARIOS PDF

inequalities – Weighted version of the Karamata Inequality – MathOverflow

By clicking “Post Karamaha Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. An explanation of Karamata’s inequality and majorization theory can be found here. This is false by some stupid reasons. Convexity defined by Karamata inequality Ask Question. Here majorization means that x 1.

By using this site, you agree to the Terms of Use and Kagamata Policy. Mathematics Stack Exchange works best with JavaScript enabled.

Dividing by n gives Jensen’s inequality. This page was last edited on 6 Octoberat Email Required, karxmata never shown. From Wikipedia, the free encyclopedia.

Sign up using Facebook.

IMOmath: Inequalities of Jensen and Karamata

Sign up using Facebook. Weighted version of the Karamata Inequality Ask Question. Views Read Edit View history.

Post as a guest Name. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

In mathematicsKaramata’s inequality[1] named after Jovan Karamata[2] also known as the majorization inequalityis a theorem in elementary algebra for convex and concave real-valued functions, defined on an interval of the real line.

  EARTH PLEIADIAN KEYS TO THE LIVING LIBRARY PDF

Karamata’s inequality

We may assume that the numbers are in decreasing order as specified in 2. Sign up using Email and Password.

It generalizes the discrete form of Jensen’s inequality. Post as a guest Name. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Home Questions Tags Users Unanswered.

I am looking for a proof kaaramata weighted version of the inequality as following. Retrieved from ” https: Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

CS1 French-language sources fr Articles containing proofs. Sign up using Email and Password. Then x 1. Belgrade in French1: Juanito 1, 4 However, then there is a strictly positive term on the right hand side of 7 and equality in 1 cannot hold.

By Karamata’s inequality 1 for the convex function f. Home Questions Tags Users Unanswered.