Cover Image

On Turán's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kahler, Stefan
Format:	Preprint
Published:	2026
Subjects:	Classical Analysis and ODEs 42C05 (Primary) 26D07, 33C45 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials
by: Kahler, Stefan
Published: (2018)

A new class of orthogonal polynomials
by: Kahler, Stefan, et al.
Published: (2026)

Turán's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials
by: Kahler, Stefan
Published: (2018)

Dunkl symmetric coherent pairs of measures. An application to Fourier Dunkl-Sobolev expansions
by: Sghaier, Mabrouk, et al.
Published: (2024)

Ladder operators for generalized Zernike or disk polynomials
by: Marriaga, Misael E.
Published: (2024)

Orthogonality of quasi-nature spectral polynomials of Jacobi and Laguerre type
by: Kumar, Vikash, et al.
Published: (2024)

Harmonic analysis of little $q$-Legendre polynomials
by: Kahler, Stefan
Published: (2020)

The Laguerre constellation of classical orthogonal Polynomials
by: Costas-Santos, Roberto S.
Published: (2025)

Zeros of orthogonal little q-Jacobi polynomials: interlacing and monotonicity
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2025)

Characterization of classical orthogonal polynomials in two continuous variables
by: Nangho, Maurice Kenfack, et al.
Published: (2024)

A few identities and integrals involving Pochhammer symbols, Jacobi polynomials, and the generalized hypergeometric function
by: Szabłowski, Paweł J.
Published: (2025)

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials
by: Alpan, Gökalp, et al.
Published: (2024)

On classical orthogonal polynomials on bi-lattices
by: Castillo, K., et al.
Published: (2023)

Approximation of Askey-Wilson roots
by: van Diejen, Jan Felipe, et al.
Published: (2025)

Simple bounds for the extreme zeroes of Jacobi polynomials
by: Nikolov, Geno
Published: (2024)

Interlacing and monotonicity of zeros of Angelesco-Jacobi polynomials
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2023)

The symmetric Dunkl-classical orthogonal polynomials revisited
by: Douak, Khalfa
Published: (2024)

Interlacing of zeros of polynomials completed with two additional points
by: Jordaan, Kerstin, et al.
Published: (2026)

Separating zeros of polynomials using an added interlacing point
by: Jordaan, Kerstin, et al.
Published: (2026)

New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula
by: Nowak, Adam, et al.
Published: (2024)

The $q$ and $q^{-1}$-symmetric orthogonal polynomials in the $q$-Askey scheme, their dual polynomials and functions, orthogonality, generating functions and relations and nonterminating $q$-Chaundy double product representations
by: Cohl, Howard S., et al.
Published: (2023)

Mehler formula for Wronskians of Hermite polynomials
by: Kuznetsov, Alexey, et al.
Published: (2026)

On Bernstein inequalities on the unit ball
by: Beberok, Tomasz, et al.
Published: (2025)

Bernstein inequality on parabolic domains
by: Xu, Yuan
Published: (2026)

Fourier transforms of orthogonal polynomials on the cone
by: Karaman, Rabia Aktaş, et al.
Published: (2024)

Integral representation of functions on the circle
by: Basso, Giuliano
Published: (2023)

Integral and hypergeometric representations for multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2024)

Multiple q-Kravchuk polynomials
by: Arvesú, J., et al.
Published: (2024)

Darboux equivalence for matrix-valued orthogonal polynomials
by: Parisi, Ignacio Bono, et al.
Published: (2024)

Recurrence relations of Exceptional Laurent biorthogonal polynomials
by: Luo, Yu, et al.
Published: (2024)

An electrostatic model for the roots of discrete classical orthogonal polynomials
by: Sánchez-Lara, Joaquín F.
Published: (2024)

Chebyshev Expansion of the Zernike Polynomials
by: Mathar, Richard J.
Published: (2025)

Classical discrete multiple orthogonal polynomials: hypergeometric and integral representations
by: Branquinho, Amílcar, et al.
Published: (2024)

Darboux-type formula for Jacobi biorthogonal polynomials
by: Lin, Zhaofeng, et al.
Published: (2026)

Skew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomials
by: Benassi, Costanza, et al.
Published: (2026)

On the generalized interlacing property for the zeros of Bessel functions
by: Chung, Seok-Young, et al.
Published: (2023)

Zeros of generalized hypergeometric polynomials via finite free convolution. Applications to multiple orthogonality
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2024)

On positive Jacobi matrices with compact inverses
by: Šťovíček, Pavel, et al.
Published: (2024)

Approximation and orthogonality on fully symmetric domains
by: Xu, Yuan
Published: (2025)

Hermite expansions of functions from the weighted Hardy class
by: Achar, Satyajyoti, et al.
Published: (2026)