NEW INEQUALITIES FOR MAXIMUM MODULUS VALUES OF POLYNOMIAL FUNCTIONS

Celik A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.41, no.2, pp.255-263, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 2
  • Publication Date: 2012
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.255-263
  • Keywords: Mathematical analysis, Hyperbolic region, Polynomials functions, Maximum modulus values, Inequality
  • Dokuz Eylül University Affiliated: No

Abstract

In this paper we establish new inequalities for the maximum modulus values of polynomial functions which do not have zero as a root, and which have zero as a multiple root on two hyperbolic regions. Similar inequalities for the particular case where the region is a ring are also given.