Pitt-Type Inequalities For General Monotone Functions
In this paper, we study Pitt-type results for the Fourier transform. A new class of general monotone functions is introduced as a subclass of BV functions, and basic properties are established. It is shown that GM(R; τ, κ) is a natural generalization of the classical general monotone functions first...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/483459 |
| Acceso en línea: | http://hdl.handle.net/2072/483459 |
| Access Level: | acceso abierto |
| Palabra clave: | Pitt’s inequality Bounded variation General monotone function 51 |
| Sumario: | In this paper, we study Pitt-type results for the Fourier transform. A new class of general monotone functions is introduced as a subclass of BV functions, and basic properties are established. It is shown that GM(R; τ, κ) is a natural generalization of the classical general monotone functions first introduced by Liflyand and Tikhonov in 2008. Pitt’s inequality is proven for functions from this class for the range of weight parameters extending known results. |
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