On influence of modulus of continuity of some coefficient on uniform equiconvergence rate for an odd order differential operator

In the paper, an odd order ordinary differential operator is considered on G = (0, 1). Uniform equiconvergence on a compact of a spectral expansion in root functions of the given operator with trigonometric expansion is studied. Dependence of uniform equiconvergence rate on the modulus of continuity of the coefficient at (n − 2)−th derivative in the given operators is proved.