Mathematics

Orthorecursive expansion with respect to modified Faber–Schauder system

P. S. Stepanyants^a, A. K. Paunov<sup>b

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b WorldQuant

Abstract: We consider orthorecursive expansions with respect to modified Faber–Schauder System and demonstrate their uniform convergence to expanded functions in C-space and convergence in Lebesgue spaces.

Key words: orthorecursive expansion, convergence, Faber–Schauder System, system of translates and dilates.

UDC: 517.518+517.982

Received: 03.02.2023

DOI: 10.55959/MSU0579-9368-1-64-4-3

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2023, 78:4, 170–178

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