A Losynski-Kharshiladze theorem for Müntz polynomials

1985 ◽  
Vol 45 (3-4) ◽  
pp. 301-303 ◽  
Author(s):  
D. J. Newman ◽  
B. Shekhtman
Keyword(s):  
Müntz Polynomials

Müntz Polynomials

1996 ◽  
pp. 345-367
Author(s):  
George G. Lorentz ◽  
Yuly Makovoz ◽  
Manfred V. Golitschek
Keyword(s):  
Müntz Polynomials

scholarly journals Newman's Inequality for Müntz Polynomials on Positive Intervals

1996 ◽  
Vol 85 (2) ◽  
pp. 132-139 ◽  
Author(s):  
Peter Borwein ◽  
Tamás Erdélyi
Keyword(s):  
Müntz Polynomials

A time-optimal boundary controllability problem for the heat equation in a ball

2014 ◽  
Vol 144 (6) ◽  
pp. 1171-1189 ◽  
Author(s):  
Sorin Micu ◽  
Laurenţiu Emanuel Temereancă
Keyword(s):  
Optimal Control ◽  
Heat Equation ◽  
Parabolic Type ◽  
Time Optimal Control ◽  
Main Ingredient ◽  
Controllability Problem ◽  
Boundary Controllability ◽  
Müntz Polynomials ◽  
Time Optimal ◽  
Dimensional Ball

The aim of this paper is to study a boundary time-optimal control problem for the heat equation in a two-dimensional ball. The main ingredient is the extension of a result concerning Müntz polynomials due to Borwein and Erdélyi that allows us to prove an observability inequality for the dynamical system's truncation to a finite number of modes. This result, combined with a well-known Lebeau–Robbiano argument used to show the null-controllability of parabolic type equations, enables us to deduce the existence, uniqueness and bang-bang properties for the boundary time-optimal control.

scholarly journals Approximation by Müntz polynomials on sequences

1968 ◽  
Vol 1 (4) ◽  
pp. 476-483 ◽  
Author(s):  
D.J Newman ◽  
E Passow ◽  
L Raymon
Keyword(s):  
Müntz Polynomials
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