Absolute and Uniform Convergence of Spectral Expansion of the Function From the Class $W_p^1(G)$, $p>1$, in Eigenfunctions of Third Order Differential Operator


V. M. Kurbanov, E. B. Akhundova




We study an ordinary differential operator of third order and absolute and uniform convergence of spectral expansion of the function from the class $W_p^1(G)$, $G=(0,1)$, $p>1$, in eigenfunctions of the operator. Uniform convergence rate of this expansion is estimated.