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Eastern University, Chenkalady, Sri Lanka;

By C. K. Kobindarajah and D. S. Lubinsky


We establish Marcinkiewicz-Zygmund Inequalities of the form nX jP ( j)j p Z ( j j 1) C jP ()j p d; j=1 valid for all trigonometric polynomials P of degree m, and for = 0 < 1 <::: < n = , under appropriate spacing conditions. The emphasis is on uniformity in the length of the interval, irrespective of whether it is close to 0 or 2. We also establish weighted versions involving doubling weights

Year: 2003
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