Geno Nikolov

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math.CA2026

An inequality for Jacobi polynomials: a complement to Finite Increment Theorem

Geno Nikolov

Let $P = P_{n}^{(α, β)}$ be the $n$ -th degree Jacobi polynomial, which is orthogonal in $[- 1, 1]$ with respect to the weight function $(1 - x)^{α} (1 + x)^{β}$ , $α, β > - 1$ . For parameters $(α, β)$ s…

math.CA2024

Simple bounds for the extreme zeroes of Jacobi polynomials

Geno Nikolov

Some new bounds for the extreme zeroes of Jacobi polynomials are obtained with an elementary approach. A feature of these bounds is their simple forms, which make them easy to work…