Finite Matrix Inequalities for Arbitrarily Many Power-Sum Defects

A finite tridiagonal matrix generates inequalities for any prescribed finite number of weighted power-sum defects. An exact double remainder proves the inequality and determines equality and the best constant. Shifted starts, integer strides, separation restrictions, and an even-order real-input extension are treated.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23887934
Primary Topic
Mathematical Inequalities and Applications
Type
preprint
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preprint

Finite Matrix Inequalities for Arbitrarily Many Power-Sum Defects

Ziping Guo
2 links
Zenodo (CERN European Organization for Nuclear Research)
Mathematical Inequalities and Applications
preprint

Finite Matrix Inequalities for Arbitrarily Many Power-Sum Defects

Ziping Guo
preprint en

Abstract

A finite tridiagonal matrix generates inequalities for any prescribed finite number of weighted power-sum defects. An exact double remainder proves the inequality and determines equality and the best constant. Shifted starts, integer strides, separation restrictions, and an even-order real-input extension are treated.

Zenodo (CERN European Organization for Nuclear Research)
Mathematical Inequalities and Applications
DOIOpen Access PDFOpenAlex
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Finite Matrix Inequalities for Arbitrarily Many Power-Sum Defects — Ziping Guo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS