Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003 ; Department of Mathematics, Mu'tah University, Mu'tah, Jordan
Abstract:
We show how to approximate a given weight function in the class by weights that are bounded above by multiples of their infima in such a way that the constant is not increased. As an application, we show that the precise range of for which a given weight is in cannot be determined by extrapolating the constants.