On Paley-type and Hausdorff-Young-Paley-type inequalities for generalized Gegenbauer expansions
Roman Veprintsev
TL;DR
This paper develops new inequalities related to generalized Gegenbauer expansions, extending classical results to broader settings and providing tools for analyzing these expansions in harmonic analysis.
Contribution
It introduces Paley-type and Hausdorff-Young-Paley-type inequalities specifically for generalized Gegenbauer expansions, expanding the theoretical framework.
Findings
Established Paley-type inequalities for generalized Gegenbauer expansions.
Proved Hausdorff-Young-Paley-type inequalities in this context.
Extended classical inequalities to a broader class of orthogonal expansions.
Abstract
We establish Paley-type and Hausdorff-Young-Paley-type inequalities for generalized Gegenbauer expansions.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Numerical methods in inverse problems · Mathematical and Theoretical Analysis