SIAM Journal on Numerical Analysis, Vol. 10, No. 3 (Jun., 1973), pp. 448-459 (12 pages) The problem of obtaining a best summation formula for a finite sequence of real numbers in terms of a fixed ...

Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...