124348 20230914083543.0 doi 10.1142/S1793557122502035 sideral 131384 ART-2022-131384 eng Islam, Md. N. Fractal Sobolev systems of functions associated with orthonormal systems of functions 2022 Access copy available to the general public Unrestricted This paper introduces the α-fractal Sobolev system of functions corresponding to Sobolev orthonormal system of functions. An approximation-related result similar to Weierstrass theorem is derived. It is shown that the set of α-fractal versions of Sobolev sums is dense and complete in the weighted Sobolev space Wr,2ρ(I). A Schauder basis and a Riesz basis of fractal type for the space Wr,2ρ(I) are found. The Fourier–Sobolev expansion of an α-fractal function fα corresponding to a certain set of interpolation points is presented. Moreover, some results on convergence of Fourier–Sobolev expansion of fα with respect to uniform norm and Sobolev norm are established. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.321 2022 Mathematics (miscellaneous) 2022 Q3 1.3 2022 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Kaish, I. Akhtar, Md. N. Navascués, M. A. Universidad de Zaragoza (orcid)0000-0003-4847-0493 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 15, 11 (2022) Asian-European Journal of Mathematics 1793-5571 341064 http://zaguan.unizar.es/record/124348/files/texto_completo.pdf Postprint 1661517 http://zaguan.unizar.es/record/124348/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:124348 articulos driver 2023-09-13-13:23:17 ARTICLE