Bernstein-type Inequalities for Bicomplex Polynomials

DOI10.1007/978-3-319-62362-7_11zbMath1388.30078OpenAlexW2758808916MaRDI QIDQ4637544

Irene Sabadini, Mihaela Vajiac, Adrian Vajiac

Publication date: 24 April 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62362-7_11

zbMATH Keywords

Erdős-Lax inequalitybicomplex and hyperbolic numberspolynomials, Bernstein inequality

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Polynomials and rational functions of one complex variable (30C10)

Related Items (3)

On bicomplex third-order Jacobsthal numbers ⋮ Discrete Wiener algebra in the bicomplex setting, spectral factorization with symmetry, and superoscillations ⋮ An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications

Cites Work

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• Bicomplex hyperfunctions
• Singularities of functions of one and several bicomplex variables
• Between Lie norm and dual Lie norm
• Analysis of Dirac systems and computational algebra.
• Spherical monogenics on the Lie sphere
• On Bernstein and Erdős-Lax's inequalities for quaternionic polynomials
• On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules
• Bicomplex Numbers and their Elementary Functions
• Bicomplex Holomorphic Functions
• NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
• Complexified clifford analysis
• Remarks on Holomorphicity in Three Settings: Complex, Quaternionic, and Bicomplex
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• On the Derivative of a Polynomial
• Proof of a conjecture of P. Erdös on the derivative of a polynomial

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