scholarly journals Intractability Results for Positive Quadrature Formulas and Extremal Problems for Trigonometric Polynomials

1999 ◽  
Vol 15 (3) ◽  
pp. 299-316 ◽  
Author(s):  
Erich Novak
Keyword(s):  
Extremal Problems ◽  
Trigonometric Polynomials ◽  
Quadrature Formulas ◽  
Positive Quadrature Formulas

scholarly journals APPLICATIONS OF AN INTERSECTION FORMULA TO DUAL CONES

2017 ◽  
Vol 97 (1) ◽  
pp. 94-101
Author(s):  
DÁNIEL VIROSZTEK
Keyword(s):  
Banach Spaces ◽  
Duality Theorem ◽  
Extremal Problems ◽  
Positive Definite ◽  
Positive Definite Functions ◽  
Trigonometric Polynomials ◽  
Dual Cones ◽  
Intersection Formula

We give a succinct proof of a duality theorem obtained by Révész [‘Some trigonometric extremal problems and duality’, J. Aust. Math. Soc. Ser. A 50 (1991), 384–390] which concerns extremal quantities related to trigonometric polynomials. The key tool of our new proof is an intersection formula on dual cones in real Banach spaces. We show another application of this intersection formula which is related to integral estimates of nonnegative positive-definite functions.

scholarly journals A sequence of extremal problems for trigonometric polynomials

1988 ◽  
Vol 130 (2) ◽  
pp. 545-551 ◽  
Author(s):  
Johnny Brown ◽  
Myron Goldstein ◽  
John McDonald
Keyword(s):  
Extremal Problems ◽  
Trigonometric Polynomials
Sign in / Sign up

Export Citation Format

Share Document