О нахождении границ Рисса сплайн-базиса с помощью тригонометрических полиномов

The problem on determination of the upper and lower Riesz bounds for the m-th order B-spline basis is reduced to analysis of the series Т.7=-оо (x-j)2m. It is shown that the sum of the series is a ratio of certain trigonometric polynomials. Some properties of these polynomials which help to determin... View More