A Lower Bound Estimate for the Uniform Norm of a Linear Combination of Complex Polynomials

In this paper, we present lower bound estimate of the linear combination of the complex polynomials in terms of the moduli of two coefficients of the linear combination of the polynomials provided their indices $$s<t$$ obey a suitable restriction and we also show that this assumption cannot be removed or weakened.

Authors

Institutions

Publication Details

Journal
Proceedings of the Bulgarian Academy of Sciences
Published
2025-04-24
DOI
https://doi.org/10.7546/crabs.2025.04.01
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A Lower Bound Estimate for the Uniform Norm of a Linear Combination of Complex Polynomials

Khangembam Babina Devi, Barchand Chanam
Proceedings of the Bulgarian Academy of Sciences
Mathematical functions and polynomials
article

A Lower Bound Estimate for the Uniform Norm of a Linear Combination of Complex Polynomials

Khangembam Babina Devi, Barchand Chanam
article en

Abstract

In this paper, we present lower bound estimate of the linear combination of the complex polynomials in terms of the moduli of two coefficients of the linear combination of the polynomials provided their indices $$s<t$$ obey a suitable restriction and we also show that this assumption cannot be removed or weakened.

Proceedings of the Bulgarian Academy of SciencesVol. 78(4)
National Institute of Technology Manipur (IN)
Openalex Percentile: Top 88%
Mathematical functions and polynomials
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.

A Lower Bound Estimate for the Uniform Norm of a Linear Combination of Complex Polynomials — Khangembam Babina Devi, Barchand Chanam · Proceedings of the Bulgarian Academy of Sciences (2025) | TGRS Research Map | TGRS