On the \(L_ p\) norm for some approximation operators

DOI10.1016/0021-9045(85)90029-2zbMath0576.41010OpenAlexW2062750883MaRDI QIDQ1065301

Rasul A. Khan

Publication date: 1985

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90029-2

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (3)

Asymptotic behavior of operators of probabilistic type in \(L_ p\) spaces ⋮ On the rate of convergence of Bernstein power series for functions of bounded variation ⋮ On the rate of convergence of some operators on functions of bounded variation

Cites Work

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• A note on stochastic methods in connection with approximation theorems for positive linear operators
• General theorems on rates of convergence in distribution of random variables II. Applications to the stable limit laws and weak law of large numbers
• The \(L_ 1\) norm of the approximation error for Bernstein-type polynomials
• A note on the rate of convergence and its applications
• On the behaviour of a certain class of approximation operators for discontinuous functions
• Some probabilistic methods in the theory of approximation operators
• Characteristic Functions, Moments, and the Central Limit Theorem
• Bounds on Moments of Certain Random Variables
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations

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