Title of article :
Componentwise equiconvergence theorems for a fourth order differential operator
Author/Authors :
Kurbanov, Vali M. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Huseynova, Yasemen I. Baku State University, Baku, Azerbaijan
Abstract :
In the paper on a compact we study componentwise uniform equiconvergence of othtogonal
expansion of a vector-function from the class W1
1,m (G) in eigen vector-functions of a fourth order differential operator with expansion in trigonometric series. Rate of componentwise uniform equiconvergence
on a compact is established.
Keywords :
eigen vector-function , equiconvergence , spectral expansion
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
