Voronovskaya theorem for a sequence of positive linear operators related to squared Bernstein polynomials

DOI10.1007/S11117-018-0625-YzbMath1423.41033OpenAlexW2898224337WikidataQ129030563 ScholiaQ129030563MaRDI QIDQ2321903

Adrian Holhoş

Publication date: 27 August 2019

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-018-0625-y

zbMATH Keywords

Legendre polynomialspositive linear operatorsVoronovskaya formulasquared Bernstein polynomials

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (4)

Voronovskaya-type results for positive linear operators of exponential type and their derivatives ⋮ A Voronovskaya-type theorem in simultaneous approximation ⋮ A Voronovskaya-type theorem for the first derivatives of positive linear operators ⋮ Properties of Positive Linear Operators Connected with Squared Fundamental Functions

Cites Work

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• Integral representations and asymptotic expansions for Shannon and Renyi entropies
• Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa
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• On a new sequence of positive linear operators related to squared Bernstein polynomials
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• Bounds for some entropies and special functions
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS

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