Random linear operators arising from piecewise linear interpolation on the unit interval

DOI10.1007/S00009-022-02147-7OpenAlexW4295066847WikidataQ114232200 ScholiaQ114232200MaRDI QIDQ2675959

José A. Adell, Daniel Cárdenas-Morales

Publication date: 26 September 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02147-7

zbMATH Keywords

rate of convergenceconfidence bandDitzian-Totik modulus of smoothnessuniform convergence in probabilityuniform order statisticsrandom linear operator

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Rate of convergence, degree of approximation (41A25)

Cites Work

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• The Bernstein Voronovskaja-type theorem for positive linear approximation operators
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Chebyshev type inequality for stochastic Bernstein polynomials
• A First Course in Order Statistics
• Strong converse inequalities
• Strong converse inequalities

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