TY - JOUR
AU - Yu. G. Abbasova
AU - V. M. Kurbanov
PY - 2017/06/25
Y2 - 2020/12/05
TI - Convergence of the spectral decomposition of a function from
the class $W_{p,m}^1 (G),\; p > 1$, in the vector eigenfunctions of a differential operator
of the third order
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 6
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1731
AB - We consider, a third-order differential operator with matrix coefficients. The absolute and uniform convergence of theorthogonal expansion of a vector function from the class $W_{p,m}^1 (G),\; p > 1$, in the vector eigenfunctions of this operator isstudied and the rate of uniform convergence of this expansion on $G = [0, 1]$ is estimated.
ER -