The complete asymptotic evaluation for Mellin convolution operators

DOI10.1007/s00365-022-09584-3OpenAlexW4283775635WikidataQ114229754 ScholiaQ114229754MaRDI QIDQ6076968

Dumitru Popa

Publication date: 17 October 2023

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-022-09584-3

zbMATH Keywords

Mellin derivativesMellin convolution operatorsasymptotic evaluationconvolution as an integral transformMellin-Gauss-Weierstrass operators

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral operators (47G10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• On Voronovskaja formula for linear combinations of Mellin-Gauss-Weierstrass operators
• A quantitative voronovskaya formula for Mellin convolution operators
• A note on the Voronovskaja theorem for Mellin-Fejér convolution operators
• Approximation properties for linear combinations of moment type operators
• On the iterates of Mellin-Fejer convolution operators
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• The foundations of fractional calculus in the Mellin transform setting with applications
• A Voronovskaya type theorem for Poisson-Cauchy type singular operators
• Korovkin-type approximation theory and its applications
• A direct approach to the Mellin transform
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• The Korovkin parabola envelopes method and Voronovskaja-type results
• Approximation of the continuous functions on \(l_p\) spaces with \(p\) an even natural number
• Mellin-Meijer kernel density estimation on \(\mathbb{R}^+\)
• Asymptotic evaluations for some sequences of positive linear operators
• Voronovskaya-type estimates for Mellin convolution operators
• On Mellin convolution operators: a direct approach to the asymptotic formulae
• On the asymptotic behaviour of linear combinations of Mellin‐Picard type operators
• Saturation Theory in Connection with Mellin Transform Methods