scholarly journals The strong unicity constant and its applications

2007 ◽  
Author(s):  
W. Odyniec ◽  
M. P. Prophet
Keyword(s):  
Strong Unicity

scholarly journals On the behavior of the strong unicity constant for changing dimension

1979 ◽  
Vol 27 (3) ◽  
pp. 278-290 ◽  
Author(s):  
Myron S Henry ◽  
Lawrence R Huff
Keyword(s):  
Strong Unicity

scholarly journals Uniform strong unicity constants for subsets of C(X)

1988 ◽  
Vol 55 (3) ◽  
pp. 304-317 ◽  
Author(s):  
Martin Bartelt ◽  
John Swetits
Keyword(s):  
Strong Unicity

scholarly journals Strong unicity versus modulus of convexity

1994 ◽  
Vol 49 (2) ◽  
pp. 305-310 ◽  
Author(s):  
Robert Huotari ◽  
Salem Sahab
Keyword(s):  
Banach Space ◽  
Power Type ◽  
Modulus Of Convexity ◽  
Strong Unicity ◽  
Straight Lines

We show that a Banach space has modulus of convexity of power type p if and only if best approximants to points from straight lines are uniformly strongly unique of order p. Assuming that the space is smooth, we derive a characterisation of the best simultaneous approximant to two elements, and use the characterisation to prove that p–type modulus of convexity implies order p strong unicity of the simultaneous approximant.

scholarly journals Lipschitz and strong unicity constants for changing dimension

1978 ◽  
Vol 22 (1) ◽  
pp. 85-94 ◽  
Author(s):  
M.S Henry ◽  
J.A Roulier
Keyword(s):  
Strong Unicity
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