Publications de l’Institut Mathématique, Nouvelle Série, Vol. 101[115], pp. 169

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

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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

Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan

Abstract: 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.

Keywords: absolute convergence; uniform convergence; eigen functions; spectral expansion

Classification (MSC2000): 34L10; 42A20

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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
© 2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition

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

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