On Hardy-Littlewood-type and Hausdorff-Young-type inequalities for generalized Gegenbauer expansions
Roman Veprintsev
TL;DR
This paper establishes Hardy-Littlewood-type and Hausdorff-Young-type inequalities for generalized Gegenbauer expansions, unifying these classical inequalities within a broader framework.
Contribution
It introduces a unified approach to Hardy-Littlewood and Hausdorff-Young inequalities for generalized Gegenbauer expansions, expanding their applicability.
Findings
Derived Hardy-Littlewood-type inequalities for generalized Gegenbauer expansions.
Established Hausdorff-Young-type inequalities for these expansions.
Unified the inequalities within a common theoretical framework.
Abstract
Using well-known techniques, we establish Hardy-Littlewood-type and Hausdorff-Young-type inequalities for generalized Gegenbauer expansions and their unification.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics · Numerical methods in inverse problems