Publications de l’Institut Mathématique, Nouvelle Série Vol. 101[115], pp. 169–182 (2017) 

ABSOLUTE AND UNIFORM CONVERGENCE OF SPECTRAL EXPANSION OF THE FUNCTION FROM THE CLASS ${W}_{p}^{1}\left(G\right)$, $p>1$, IN EIGENFUNCTIONS OF THIRD ORDER DIFFERENTIAL OPERATORV. M. Kurbanov, E. B. AkhundovaInstitute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, AzerbaijanAbstract: We study an ordinary differential operator of third order and absolute and uniform convergence of spectral expansion of the function from the class ${W}_{p}^{1}\left(G\right)$, $G=(0,1)$, $p>1$, in eigenfunctions of the operator. Uniform convergence rate of this expansion is estimated. Keywords: absolute convergence; uniform convergence; eigen functions; spectral expansion Classification (MSC2000): 34L10; 42A20 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 24 Apr 2017. This page was last modified: 11 May 2017.
© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
