Divergent Cesàro Means of Jacobi-Sobolev Expansions

  • Bujar Xh. Fejzullahu
DOI: https://doi.org/10.5209/rev_REMA.2008.v21.n2.16394
Keywords: Jacobi-Sobolev type polynomials, Fourier expansion, Cesàro mean

Abstract

Let µ be the Jacobi measure supported on the interval [­1; 1]. Let introduce the Sobolev-type inner product …. In this paper we prove that, for certain indices δ, there are functions whose Ces_aro means of order δ in the Fourier expansion in terms of the orthonormal polynomials associated with the above Sobolev inner product are divergent almost everywhere on [-1; 1].

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Published
2008-07-15
How to Cite
Fejzullahu B. X. (2008). Divergent Cesàro Means of Jacobi-Sobolev Expansions. Revista Matemática Complutense, 21(2), 427-433. https://doi.org/10.5209/rev_REMA.2008.v21.n2.16394
Issue
Vol. 21 No. 2 (2008)
Section
Articles

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