Fractional ordered Euler Riesz difference sequence spaces

• Jena, Diptimayee ^[1] ; Dutta, Salila ^[1]
  1. [1] Utkal University

     Utkal University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 5, 2023, págs. 1355-1372
• Idioma: inglés
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• Resumen

  • In this article we introduce new sequence spaces c0 (τ), c(τ) and l∞(τ) of fractional order τ , consisting of an operator which is a composition of Euler-Riesz operator and fractional difference operator. Certain topological properties of these spaces are investigated along with Schauder basis and α−, β− and γ−duals.