Enviar artigo por via de e-mail The basis property of the Legendre polynomials in variable exponent Lebesgue space
- Autores: Magomed-Kasumov M.G.1,2, Shakh-Emirov T.N.1, Gadzhimirzaev R.M.1
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Afiliações:
- Daghestan Federal Research Centre of the Russian Academy of Sciences
- Vladikavkaz Scientific Centre of the Russian Academy of Sciences
- Edição: Volume 215, Nº 2 (2024)
- Páginas: 103-119
- Seção: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/251800
- DOI: https://doi.org/10.4213/sm9891
- ID: 251800
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Resumo
Sharapudinov proved that the Legendre polynomials form a basis of the Lebesgue space with variable exponent p(x) if p(x)>1 satisfies the Dini–Lipschitz condition and is constant near the endpoints of the orthogonality interval. We prove that the system of Legendre polynomials forms a basis of these spaces without the condition that the variable exponent be constant near the endpoints.
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Sobre autores
Magomedrasul Magomed-Kasumov
Daghestan Federal Research Centre of the Russian Academy of Sciences; Vladikavkaz Scientific Centre of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: rasuldev@gmail.com
ORCID ID: 0000-0002-6624-5612
Candidate of physico-mathematical sciences, Senior Researcher
Tadgidin Shakh-Emirov
Daghestan Federal Research Centre of the Russian Academy of Sciences
Email: Tadgius@gmail.com
Ramis Gadzhimirzaev
Daghestan Federal Research Centre of the Russian Academy of Sciences
Email: ramis3004@gmail.com
ORCID ID: 0000-0002-6686-881X
Scopus Author ID: 57203401601
Researcher ID: AAE-1094-2022
Candidate of physico-mathematical sciences, Researcher
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