Convergence Almost Everywhere of Orthorecursive Expansion with Respect to Modified Faber–Schauder System

We consider orthorecursive expansions with respect to modified Faber–Schauder system and demonstrate their convergence almost everywhere to expanded Lebesgue integrable functions.

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Publication Details

Journal
Lobachevskii Journal of Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1995080224607057
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Convergence Almost Everywhere of Orthorecursive Expansion with Respect to Modified Faber–Schauder System

P. S. Stepanyants
Lobachevskii Journal of Mathematics
Matrix Theory and Algorithms
article

Convergence Almost Everywhere of Orthorecursive Expansion with Respect to Modified Faber–Schauder System

P. S. Stepanyants
article en

Abstract

We consider orthorecursive expansions with respect to modified Faber–Schauder system and demonstrate their convergence almost everywhere to expanded Lebesgue integrable functions.

Lobachevskii Journal of MathematicsVol. 45(12)
Lomonosov Moscow State University (RU), Moscow State University (TJ)
Openalex Percentile: Top 68%
Matrix Theory and Algorithms
DOISourceOpenAlex
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Convergence Almost Everywhere of Orthorecursive Expansion with Respect to Modified Faber–Schauder System — P. S. Stepanyants · Lobachevskii Journal of Mathematics (2024) | TGRS Research Map | TGRS