عنوان البحث(Papers / Research Title)
Almost Copositive Polynomial Approximation
الناشر \ المحرر \ الكاتب (Author / Editor / Publisher)
ايمان سمير عبد علي بهية
Citation Information
ايمان,سمير,عبد,علي,بهية ,Almost Copositive Polynomial Approximation , Time 5/17/2011 6:25:48 PM : كلية التربية للعلوم الصرفة
وصف الابستركت (Abstract)
Almost Copositive Polynomial Approximation
الوصف الكامل (Full Abstract)
Almost Copositive Polynomial Approximation
Dr. Eman Samir Bhaya, Department of Mathematics, College of Education,
Babylon University, Babil, Hilla, Iraq.
E.mail: emanbhaya@yahoo.com
Abstract
For a function with finitely many sign changes, Hu, Kopotun and Yu [5] construct a sequence of polynomials which are copositive with this function in terms of the Ditzian-Totik modulus of continuity in lp, p<1 metric. Also it was shown that this estimate is exact in the sense that if has at least one sign change then w can not be replaced by w3 if .
In this paper we first show that almost copositive approximation improves the rate to w3 from w the rate for the ordinary copositive approximation. Our second theorem shows that it is impossible to obtain the first estimate interims of .
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