On the Convergence and Summability of Orthogonal Series

In the paper, the sufficient conditions are found for the convergence, summability by the Cesàro methods and unconditional convergence almost everywhere of orthogonal series, which are equivalent to the well-known theorems of Menshov–Redemacher, Menshov, and Orlich.

Authors

Institutions

Publication Details

Journal
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
Published
2024-08-01
DOI
https://doi.org/10.3103/s1068362324700171
Citations
1
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On the Convergence and Summability of Orthogonal Series

Л. Гоголадзе
1 citations
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
Approximation Theory and Sequence Spaces
article

On the Convergence and Summability of Orthogonal Series

Л. Гоголадзе
article en
1 citations

Abstract

In the paper, the sufficient conditions are found for the convergence, summability by the Cesàro methods and unconditional convergence almost everywhere of orthogonal series, which are equivalent to the well-known theorems of Menshov–Redemacher, Menshov, and Orlich.

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)Vol. 59(4)
Tbilisi State University (GE)
Reduced inequalities
Openalex Percentile: Top 87%
Approximation Theory and Sequence Spaces
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On the Convergence and Summability of Orthogonal Series — Л. Гоголадзе · Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) (2024) | TGRS Research Map | TGRS