On the completeness and the basis property of the modified Frankl problem with a nonlocal oddness condition in the Sobolev space (Wp1(0,π))

On the completeness and the basis property of the modified Frankl problem with a nonlocal oddness condition in the Sobolev space (Wp1(0,π))

In the present paper, we write out the eigenvalues and the corresponding eigenfunctions of the modified Frankl problem with a nonlocal oddness condition of the first kind in the Sobolev space ( W p 1 ( 0 , π ) ) . We analyze the completeness, the basis property, and the minimality of the eigenfuncti...

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Veröffentlicht in:Journal of inequalities and applications 2015-08, Vol.2015 (1), p.1-7, Article 263
Hauptverfasser: Abbasi, Naser, Shakori, Mahmood
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Completeness
Eigenfunctions
Eigenvalues
Inequalities
Mathematics
Mathematics and Statistics
Recent Developments of Integral Inequalities and its Applications
Sobolev space
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Zusammenfassung:In the present paper, we write out the eigenvalues and the corresponding eigenfunctions of the modified Frankl problem with a nonlocal oddness condition of the first kind in the Sobolev space ( W p 1 ( 0 , π ) ) . We analyze the completeness, the basis property, and the minimality of the eigenfunctions in the space ( W p 1 ( 0 , π ) ) .
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-015-0782-5