Sharp Linear Inequalities for Three Weighted Power-Sum Defects

Finite positive weighted power sums define three defects with an exact pairwise decomposition. Rational recurrences give nonnegative finite remainders, a sharp family of linear inequalities, and a complete endpoint slope interval. Equality, finite sharpness examples, and integer-stride versions are included.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23887932
Primary Topic
Mathematical Inequalities and Applications
Type
preprint
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preprint

Sharp Linear Inequalities for Three Weighted Power-Sum Defects

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

Sharp Linear Inequalities for Three Weighted Power-Sum Defects

Ziping Guo
preprint en

Abstract

Finite positive weighted power sums define three defects with an exact pairwise decomposition. Rational recurrences give nonnegative finite remainders, a sharp family of linear inequalities, and a complete endpoint slope interval. Equality, finite sharpness examples, and integer-stride versions are included.

Zenodo (CERN European Organization for Nuclear Research)
Mathematical Inequalities and Applications
DOIOpen Access PDFOpenAlex
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Sharp Linear Inequalities for Three Weighted Power-Sum Defects — Ziping Guo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS