Title of article :
On influence of modulus of continuity of the coefficient P2(x) on uniform equiconvergence rate for an even order differential operator
Author/Authors :
Kurbanov, Vali M. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Gojayeva, Khadija R. Azerbaijan State Pedagogical University, Baku, Azerbaijan
Abstract :
In the paper, an even order ordinary differential operator is considered on the interval
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 revealed
Keywords :
spectral expansion , root functions , uniform equiconvergence rate
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
