A GENERALIZATION OF THE PEANO KERNEL AND ITS APPLICATIONS
| Autor: | Halil Oruç, Gülter Budakçı |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Generalization
Mathematics::General Mathematics Mathematics::History and Overview Mathematics::General Topology General Medicine Construct (python library) Quantum B-splines Peano kernel q-Taylor theorem divided diğerences quantum derivatives quantum integrals Polynomial interpolation Algebra Mathematics::Logic Peano axioms Kernel (statistics) Divided differences Remainder Quantum Mathematics |
| Zdroj: | Volume: 67, Issue: 2 229-241 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics |
| ISSN: | 1303-5991 2618-6470 |
| Popis: | Based on the q-Taylor Theorem, we introduce a more general form of the Peano kernel (q-Peano) which is also applicable to non-differentiable functions. Then we show that quantum B-splines are the q-Peano kernels of divided differences. We also give applications to polynomial interpolation and construct examples in which classical remainder theory fails whereas q-Peano kernel works. |
| Databáze: | OpenAIRE |
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