Uniqueness of Ciesielski series with a subsequence of partial sums converging to a bounded function

Some uniqueness theorems for series with respect to a Ciesielski system are proved. In particular, if the partial sums $S_{n_i}(x)=\sum_{n=-k+2}^{n_i}a_nf_n(x)$ of a Ciesielski series $\sum _{n=-k+2}^{\infty }a_nf_n(x)$ converge in measure to a bounded in

Authors

Institutions

Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm230713-27-1
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

Uniqueness of Ciesielski series with a subsequence of partial sums converging to a bounded function

K. A. Keryan, G. G. Gevorkyan
Studia Mathematica
Approximation Theory and Sequence Spaces
article

Uniqueness of Ciesielski series with a subsequence of partial sums converging to a bounded function

K. A. Keryan, G. G. Gevorkyan
article en

Abstract

Some uniqueness theorems for series with respect to a Ciesielski system are proved. In particular, if the partial sums $S_{n_i}(x)=\sum_{n=-k+2}^{n_i}a_nf_n(x)$ of a Ciesielski series $\sum _{n=-k+2}^{\infty }a_nf_n(x)$ converge in measure to a bounded in

Studia MathematicaVol. 281(2)
Yerevan State University (AM)
Reduced inequalities
Openalex Percentile: Top 94%
Approximation Theory and Sequence Spaces
DOISourceOpenAlex
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.

Uniqueness of Ciesielski series with a subsequence of partial sums converging to a bounded function — K. A. Keryan, G. G. Gevorkyan · Studia Mathematica (2025) | TGRS Research Map | TGRS