Title of article :
ON A HEIGHT OF SMOOTH FUNCTIONS WITH MULTIPLE COMPONENTS
Author/Authors :
IKROMOV, I. A. Samarkand State University, Uzbekistan , SOLEEV, A. Samarkand State University, Uzbekistan
Abstract :
In the paper we consider estimates for height of the smooth phase function which is a product of few smooth functions. We prove that the height of functions is not large than sum of heights of its factors and show that it is strictly less than sum of heights of factors for some class of functions.
Keywords :
oscillatory integral , Newton polygon , adapted coordinates system
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
