On the asymptotic behaviour of linear combinations of Mellin‐Picard type operators

DOI10.1002/MANA.201100248zbMath1286.41005OpenAlexW1901786739MaRDI QIDQ5397989

Ilaria Mantellini

Publication date: 25 February 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100248

zbMATH Keywords

momentsVoronovskaja formulalinear combinationsK functionalMellin Picard convolution operators

Mathematics Subject Classification ID

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

Related Items (6)

The complete asymptotic evaluation for Mellin convolution operators ⋮ Rates of approximation for general sampling-type operators in the setting of filter convergence ⋮ Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence ⋮ The foundations of fractional calculus in the Mellin transform setting with applications ⋮ A concept of absolute continuity and its characterization in terms of convergence in variation ⋮ Asymptotic evaluations for multivariate Mellin convolution operators

Cites Work

• 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
• A Voronovskaya type theorem for Poisson-Cauchy type singular operators
• Global smoothness and uniform convergence of smooth Gauss-Weierstrass singular operators
• A direct approach to the Mellin transform
• Approximation by linear combinations of positive convolution integrals
• Voronovskaya-type estimates for Mellin convolution operators
• Exact interpolation theorems for Lipschitz continuous functions
• Linear Combinations of Bernstein Polynomials

This page was built for publication: On the asymptotic behaviour of linear combinations of Mellin‐Picard type operators