K. Krishna

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20242026

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math.GM2026

Non-Archimedean Cauchy-Schwarz Angle-Length and Chebyshev Arithmetic Mean Inequalities

K. Mahesh Krishna

Let $K$ be a non-Archimedean valued field. Let $n \in N$ . For every $(a_{j})_{j = 1}^{n}, (b_{j})_{j = 1}^{n} \in K^{n}$ , we show that \begin{align*} \left|\sum_{j=1}^…

math.GM2026

Finite Field Tarski-Maligranda Inequalities

K. Mahesh Krishna

Let $F$ be a sub-modulus field such that $2 \neq = 0$ . Let $X$ be a sub-normed linear space over $F$ . Then we show that \begin{align*} \bigg|\|x\|-\|y\|\b…