Integral Mean Estimates for Polynomials Whose Zeros are within a Circle
Author(s) -
Yash Paul,
Wali Mohammad Shah,
Gulshan Singh
Publication year - 2011
Publication title -
applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2152-7393
pISSN - 2152-7385
DOI - 10.4236/am.2011.21016
Subject(s) - mathematics , generalization , degree (music) , polynomial , class (philosophy) , inequality , pure mathematics , combinatorics , mathematical analysis , computer science , artificial intelligence , acoustics , physics
Let be a polynomial of degree n having all its zeros in , then for each , , with , Aziz and Ahemad (1996) proved that In this paper, we extend the above inequality to the class of polynomials , having all its zeros in , and obtain a generalization as well as refinement of the above result
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom