I tiakina i:
| Kaituhi matua: | |
|---|---|
| Hōputu: | Recurso digital |
| Reo: | Ingarihi |
| I whakaputaina: |
Zenodo
2026
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| Ngā marau: | |
| Urunga tuihono: | https://doi.org/10.5281/zenodo.19289974 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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Rārangi ihirangi:
- <p><strong>Under Study</strong><br><br>This deposit contains the PDF version of the article “Multiplicative Quadrature via Logarithmic Means (MQLM): From Log-Linear Interpolation to High-Order Numerical Integration”.</p> <p>The work develops a multiplicative quadrature framework for positive integrands based on logarithmic means and log-linear interpolation. Its central idea is that, for suitable classes of positive functions, the relevant object to interpolate is not the function itself, but its logarithm. This leads to a numerical integration scheme adapted to the intrinsic multiplicative geometry of the problem.</p> <p>Within this framework, the article studies exactness on exponential-type families, consistency with log-linear structure, and the numerical behavior of the resulting quadrature rules in comparison with standard additive schemes. The perspective connects numerical integration, interpolation theory, and multiplicative functional structure in a unified formulation.</p> <p>Main mathematical themes:<br>- numerical integration;<br>- logarithmic means;<br>- log-linear interpolation;<br>- multiplicative quadrature;<br>- positive integrands;<br>- structure-adapted numerical methods.</p>