Asymptotic evaluations for multivariate Mellin convolution operators
DOI10.3934/cpaa.2022131OpenAlexW4294218212MaRDI QIDQ2099227
Publication date: 23 November 2022
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2022131
Mellin derivativesasymptotic evaluationsconvolution as an integral transformmultivariate Hadamard operatorsmultivariate Mellin convolution operatorsmultivariate Mellin-Gauss-Weierstrass operators
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)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- On Voronovskaja formula for linear combinations of Mellin-Gauss-Weierstrass operators
- Bivariate Mellin convolution operators: quantitative approximation theorems
- A note on the Voronovskaja theorem for Mellin-Fejér convolution 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
- 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
- Real analysis: measures, integrals and applications
- The Korovkin parabola envelopes method and Voronovskaja-type results
- Voronovskaja type results and their applications
- 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
- The moments of the bivariate Mellin–Picard-type kernels and applications
- Asymptotic formulae for bivariate Mellin convolution operators
- On the asymptotic behaviour of linear combinations of Mellin‐Picard type operators
- Saturation Theory in Connection with Mellin Transform Methods
This page was built for publication: Asymptotic evaluations for multivariate Mellin convolution operators