K. Krishna

collaborators

11 papers

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.FA2026

Quaternionic Kittaneh Numerical Radius Inequalities

K. Mahesh Krishna

We show that for certain classes of matrices over quaternions, a more restrictive version of breakthrough numerical radius inequalities obtained by Kittaneh [\textit{{Stud. Math.},…

math.FA2026

Non-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic Inequality

K. Mahesh Krishna

Massera and Schaffer [\textit{Ann. Math. (2), 1958}] derived a breakthrough upper bound for the Clarkson angle between two nonzero vectors in a normed linear space, which was later…

math.FA2026

Non-Archimedean Tarski-Maligranda Inequalities

K. Mahesh Krishna

In 1930, Tarski observed that \begin{align*} \bigg||r|-|s|\bigg|=|r-s|+ |r+s|-(|r|+|s|), \quad \forall r, s \in \mathbb{R}. \end{align*} In 2008, Maligranda converted the previous…

math.FA2026

Noncommutative Cauchy Bound and Noncommutative Montel Bound for Roots of Polynomials

K. Mahesh Krishna

In 1829, Cauchy derived an upper bound for every root of a complex polynomial using the maximum of the absolute values of the coefficients. In 1931, Montel derived an upper bound u…

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…