On Some Inequalities with Fibonacci Numbers via Weighted Reverse Hölder Inequalities

Abstract In this paper, we introduce new inequalities for weighted sums of powers. By utilizing known Fibonacci identities alongside our generalized inequalities, we derive new sequences of inequalities for Fibonacci numbers.

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Publication Details

Journal
Annales Mathematicae Silesianae
Published
2026-04-17
DOI
https://doi.org/10.2478/amsil-2026-0007
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

On Some Inequalities with Fibonacci Numbers via Weighted Reverse Hölder Inequalities

Anamarija Perušić Pribanić
Annales Mathematicae Silesianae
Mathematical Inequalities and Applications
article

On Some Inequalities with Fibonacci Numbers via Weighted Reverse Hölder Inequalities

Anamarija Perušić Pribanić
article en

Abstract

Abstract In this paper, we introduce new inequalities for weighted sums of powers. By utilizing known Fibonacci identities alongside our generalized inequalities, we derive new sequences of inequalities for Fibonacci numbers.

Annales Mathematicae Silesianae
University of Rijeka (HR)
Reduced inequalities
Openalex Percentile: Top 9%
Mathematical Inequalities and Applications
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On Some Inequalities with Fibonacci Numbers via Weighted Reverse Hölder Inequalities — Anamarija Perušić Pribanić · Annales Mathematicae Silesianae (2026) | TGRS Research Map | TGRS