Pages: 658-664
Date of Publication: 30-Nov--0001
A STUDY ONMARKOV__ampersandsign#39;S INEQUALITY AND ZERO SET POLYNOMIAL FACTOR MAPPINGS APPLICATION
Author: Vikas Kumar, Dr. Rajeev Jha
Category: Engineering, Science and Mathematics
[Download PDF]
Abstract:
This paperdiscus theMarkov__ampersandsign#39;s inequality and zero set polynomial factors mappings application. Markov__ampersandsign#39;s inequality is a sure indicator of the subordinate standard of a polynomial in terms of the degree and standard of this polynomial. It has numerous interesting applications in estimation theory, value theory theory and examination (for example, Sobolev__ampersandsign#39;s inequalities or Whitney-type expansion problems). One of the reasons for this research is to give an answer to an old problem, among which Baran and Plesniak, and the invariance of Markov inequality under polynomial mappings (polynomial images). We also address the issue of protecting Markov__ampersandsign#39;s inequality when we take polynomial pre-images. In conclusion, we give an appropriate condition for a subset of a Markov set to be a Markov set..
|
