Voronovskaja type theorems for positive linear operators related to squared Bernstein polynomials

DOI10.1007/S11117-018-0633-YzbMath1423.41026OpenAlexW2902934812WikidataQ115600846 ScholiaQ115600846MaRDI QIDQ2321910

Vitaliy Kushnirevych, Ulrich Abel

Publication date: 27 August 2019

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-018-0633-y

zbMATH Keywords

rate of convergenceasymptotic expansionsdegree of approximationapproximation by positive operators

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (3)

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

Cites Work

• On a conjecture concerning the sum of the squared Bernstein polynomials
• Complete monotonicity and zeros of sums of squared Baskakov functions
• Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa
• Entropies and Heun functions associated with positive linear operators
• On a new sequence of positive linear operators related to squared Bernstein polynomials
• The complete asymptotic expansion for Bernstein-Durrmeyer operators with Jacobi weights
• Chebyshev-Gr\"{u}ss-type inequalities via discrete oscillations
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