HEXAGONbeta

Finite Field Hudzik-Landes-Dragomir-Kato-Saito-Tamura Inequality

Primarily human-written textHuman understanding: all partsmath.AC — Commutative Algebramath.FA — Functional Analysis

Contributed by K. MAHESH KRISHNA ↗

Version 1 / Oct 23, 2026 / CC BY 4.0

Abstract

Hudzik and Landes \textit{[Math. Ann., 1992]} derived a major generalization of the triangle inequality for two nonzero elements in normed linear spaces, which was extended to finitely many nonzero elements independently by Dragomir \textit{[Bull. Aust. Math. Soc., 2006]} and by Kato, Saito and Tamura \textit{[Math. Inequal. Appl., 2007]}. We derive a finite field version of Hudzik-Landes-Dragomir-Kato-Saito-Tamura inequality.

References

  1. Sever S. Dragomir. Bounds for the normalised Jensen functional. Bull. Aust. Math. Soc. , 74(3):471--478, 2006.
  2. Henryk Hudzik and Thomas R. Landes. Characteristic of convexity of K ö the function spaces. Math. Ann. , 294(1):117--124, 1992.
  3. Mikio Kato, Kichi-Suke Saito, and Takayuki Tamura. Sharp triangle inequality and its reverse in Banach spaces. Math. Inequal. Appl. , 10(2):451--460, 2007.
  4. Lech Maligranda. Simple norm inequalities. Am. Math. Mon. , 113(3):256--260, 2006.

Version history

  1. v1Submitted by K. MAHESH KRISHNAInitial depositCurrentOct 23, 2026