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math.GM2026
Octonionic Kittaneh Numerical Radius Inequalities
K. Mahesh Krishna
We show that for certain classes of matrices over octonions, a weak version of breakthrough numerical radius inequalities obtained by Kittaneh [\textit{{Stud. Math.}, 2005}] hold.
math.GM2026
Non-Archimedean Cauchy-Schwarz Angle-Length and Chebyshev Arithmetic Mean Inequalities
K. Mahesh Krishna
Let be a non-Archimedean valued field. Let . For every , we show that \begin{align*} \left|\sum_{j=1}^…
math.GM2026
Finite Field Tarski-Maligranda Inequalities
K. Mahesh Krishna
Let be a sub-modulus field such that . Let be a sub-normed linear space over . Then we show that \begin{align*} \bigg|\|x\|-\|y\|\b…