Sampling theorems for Jackson-Nörlund transforms associated with Hahn-difference operators

DOI10.1016/J.JMAA.2018.04.016zbMath1441.94061OpenAlexW2796493164MaRDI QIDQ1748321

Xianqiang Yang

Publication date: 9 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.016

zbMATH Keywords

sampling theoryHahn difference operatorJackson-Nörlund transform

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20)

Related Items (9)

Variations around a general quantum operator ⋮ Hahn Laplace transform and its applications ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ Unnamed Item ⋮ A completeness theorem for a Hahn-Fourier system and an associated classical sampling theorem ⋮ Aβ-Sturm–Liouville problem associated with the general quantum operator ⋮ Dirac system associated with Hahn difference operator ⋮ Spectral theory of singular Hahn difference equation of the Sturm-Liouville type ⋮ On the spectrum of singular Hahn-Sturm-Liouville operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sampling theory for Sturm-Liouville problem with boundary and transmission conditions containing an eigenparameter
• On sampling and Dirac systems with eigenparameter in the boundary conditions
• Sampling theorems associated with singular \(q\)-Sturm Liouville problems
• \(q\)-type sampling theorems
• Sampling expansions associated with Kamke problems
• Existence and uniqueness of solutions of Hahn difference equations
• Hahn difference operator and associated Jackson-Nörlund integrals
• Kramer analytic kernels and first-order boundary value problems
• Discontinuous boundary-value problems: expansion and sampling theorems
• Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm
• On Kramer’s Sampling Theorem Associated with General Sturm-Liouville Problems and Lagrange Interpolation
• A 𝑞-analogue of the Whittaker-Shannon-Kotel’nikov sampling theorem
• A Sturm–Liouville Theory for Hahn Difference Operator
• A Comparison of the Sampling Theorems of Kramer and Whittaker
• A Generalized Sampling Theorem
• Sampling theory associated withq-difference equations of the Sturm–Liouville type
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

This page was built for publication: Sampling theorems for Jackson-Nörlund transforms associated with Hahn-difference operators