On the convergence properties of Durrmeyer type exponential sampling series in (Mellin) Orlicz spaces
DOI10.7153/JMI-2024-18-63zbMATH Open1547.41013MaRDI QIDQ6618776
Esma Kangal, Qing-Bo Cai, Ülkü Dinlemez Kantar
Publication date: 15 October 2024
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Orlicz spaceskernel functionmodular convergenceDurrmeyer-type exponential sampling seriesMellin band-limited function
Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Sur certains développements suivant les polynomes de la forme de S. Bernstein. I, II.
- Direct and inverse results for Kantorovich type exponential sampling series
- Approximation of continuous and discontinuous functions by generalized sampling series
- On the functions which are represented by the expansions of the interpolation-theory.
- Démonstration du théorème de \textit{Weierstraß}, fondée sur le calcul des probabilités.
- On multidimensional Urysohn type generalized sampling operators
- Generalized Kantorovich forms of exponential sampling series
- Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series
- How sharp is the Jensen inequality?
- On linear combinations of general exponential sampling series
- Exponential sampling series: convergence in Mellin-Lebesgue spaces
- Approximation Results for a General Class of Kantorovich Type Operators
- Approximation by nonlinear integral operators in some modular function spaces
- A characterization of the convergence in variation for the generalized sampling series
- On Approximation by Kantorovich Exponential Sampling Operators
- Asymptotic properties of Urysohn type generalized sampling operators
- Exponential-sampling method for Laplace and other dilationally invariant transforms: I. Singular-system analysis
- Multidimensional Kantorovich modifications of exponential sampling series
- Pointwise convergence of generalized Kantorovich exponential sampling series
This page was built for publication: On the convergence properties of Durrmeyer type exponential sampling series in (Mellin) Orlicz spaces
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6618776)