Uniform convergence of double sine transforms of general monotone functions
We consider different classes of functions of two variables that satisfy general monotonicity conditions, and obtain necessary and sufficient conditions for the uniform convergence in the regular sense and in the sense of Pringsheim of double sine transforms of functions of such classes.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:289768 |
| Acceso en línea: | https://ddd.uab.cat/record/289768 https://dx.doi.org/urn:doi:10.1007/s10476-017-0304-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Uniform convergence Double sine transform General monotonicity Bounded variation in two variables |
| Sumario: | We consider different classes of functions of two variables that satisfy general monotonicity conditions, and obtain necessary and sufficient conditions for the uniform convergence in the regular sense and in the sense of Pringsheim of double sine transforms of functions of such classes. |
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