49 citations · 97 across the 17 of their papers we have counts for
6 papers · 1 filter
Angular equivalence of normed spaces
Eder Kikianty, Gord Sinnamon
Angular equivalence is introduced and shown to be an equivalence relation among the norms on a fixed real vector space. It is a finer notion than the usual (topological) notion of…
Power majorization between the roots of two polynomials
Minghua Lin, Gord Sinnamon
It is shown that if two hyperbolic polynomials have a particular factorization into quadratics, then their roots satisfy a power majorization relation whenever key coefficients in…
A New Algorithm for Approximating the Least Concave Majorant
Martin Franců, Ron Kerman, Gord Sinnamon
The least concave majorant, , of a continuous function on a closed interval, , is defined by \[ \hat F (x) = \inf \left\{ G(x): G \geq F, G \mbox{ concave}\right\},\…
Weighted Fourier inequalities via rearrangements
Javad Rastegari, Gord Sinnamon
The method of using rearrangements to give sufficient conditions for Fourier inequalities between weighted Lebesgue spaces is revisited. New results in the case q < p are establish…
Product operators on mixed norm spaces
Wayne Grey, Gord Sinnamon
Inequalities for product operators on mixed norm Lebesgue spaces and permuted mixed norm Lebesgue spaces are established. They depend only on inequalities for the factors and on th…
Calderón-Mityagin couples of Banach spaces related to decreasing functions
Mieczysław Mastyło, Gord Sinnamon
A number of Calderón-Mityagin couples and relative Calderón-Mityagin pairs are identified among Banach function spaces defined in terms of the least decreasing majorant constructio…