TY - JOUR
AU - Poghosyan, Arnak
AU - Poghosyan, Lusine
AU - Barkhudaryan, Rafayel
PY - 2020/10/30
Y2 - 2020/12/04
TI - On some quasi-periodic approximations
JF - Armenian Journal of Mathematics
JA - Armen.J.Math.
VL - 12
IS - 10
SE -
DO -
UR - http://armjmath.sci.am/index.php/ajm/article/view/460
SP - 1-27
AB - <p>Trigonometric approximation or interpolation of a non-smooth function on a finite interval has poor convergence properties. This is especially true for discontinuous functions. The case of infinitely differentiable but non-periodic functions with discontinuous periodic extensions onto the real axis has attracted interest from many researchers. In a series of works, we discussed an approach based on quasi-periodic trigonometric basis functions whose periods are slightly bigger than the length of the approximation interval. We proved validness of the approach for trigonometric interpolations. In this paper, we apply those ideas to classical Fourier expansions.</p>
ER -