Dr. Tomás Pérez

- Profesor-Investigador
- Director del Centro de Modelación Matemática.
- Doctorado en Ciencias Matemáticas.
Luna-Márquez, D. C., Pinto-Elías, R., Pérez-Becerra, T., Magadán-Salazar, A., González-Franco, N., & Fuentes-Pacheco, J. A. (2025). kNN classification using Hausdorff metric with quantum-based Euclidean distance. Quantum Machine Intelligence, 7(1), 54. https://doi.org/10.1007/s42484-025-00275-3
Sánchez-Perales, S., Palafox, S., & Pérez-Becerra, T. (2025). On the spectral 𝜈-continuity. Filomat, 39(9), 2831-2843. https://www.pmf.ni.ac.rs/filomat-content/2025/39-9/39-9-1-24329.pdf
Montesinos-Ibañez, J. F., Pérez-Becerra, T., & Sánchez-Perales, S. (2024). Fractal Dimension Preservation by Gabor Filters in Image Processing. Fractals, 32(05), 2450097. https://doi.org/10.1142/S0218348X2450097X
Pérez-Becerra, T., Kalita, H., & Reyna, J. A. E. (2024). Vector-valued McShane and strong McShane integrals with the Alexiewicz norm and its Riesz representation theorems. Bollettino dell'Unione Matematica Italiana, 1-24. https://doi.org/10.1007/s40574-024-00415-w
Sánchez-Perales, S., Cordero-Martınez, I. A., Hemanta, K., & Pérez-Becerra, T. (2024). Sturm-Liouville differential equations with Kurzweil-Henstock integrable functions as coefficients. Journal Nonlinear and Convex Analysis, 25, 2185-2202. https://doi.org/10.3390/math9121403
Kalita, H., Hazarika, B., & Becerra, T. P. (2023). On AP–Henstock–Kurzweil Integrals and Non-Atomic Radon Measure. Mathematics, 11(6), 1552.https://doi.org/10.3390/math11061552
Kalita, H., Perales, S. S., & Hazarika, B. (2023). On Geometric Properties Of Henstock–Orlicz Spaces. Transactions of A. Razmadze Mathematical Institute, 177(1). https://doi.org/10.48550/arXiv.2207.04243
Perez-Becerra, T., Palafox, S., Vega-Gutierrez, I., & Sanchez-Perales, S. (2023). A simplified form to introduce one-dimensional Sobolev spaces and applications to ordinary differential equations. Journal of Nonlinear and Convex Analysis, 24(9), 2015-2036.
Kalita, H., Pérez-Becerra, T., & Bharali, H. (2022). Lr-Henstock-Kurzweil integral on finite dimensional Banach spaces. Southeast Asian Bulletin of Mathematics, 45, 1-14.
Sánchez-Perales, S., Pérez-Becerra, T., Vázquez-Hipólito, V., & Oliveros-Oliveros, J. J. (2021). Sturm–Liouville differential equations involving Kurzweil–Henstock integrable functions. Mathematics, 9(12), 1403. https://doi.org/10.3390/math9121403
Pérez-Becerra, T., Escamilla-Reyna, J. A., Sánchez-Perales, S. (2021). On the Control-Continuity of Linear Operators Over the Space of Henstock Integrable Vector-Valued Functions. Proceedings of the Singapore National Academy of Science, 15(1), 35-44. DOI: 10.1142/S2591722621400056
Pérez-Becerra, T., Sánchez-Perales, S., & Escamilla-Reyna, J. A. (2020). Henstock–Kurzweil vector distributions. Mediterranean Journal of Mathematics, 17(6), 195. https://doi.org/10.1007/s00009-020-01612-5
Pérez-Becerra, T., Sánchez-Perales, S., & Oliveros-Oliveros, J. J. (2020). The HK-Sobolev space and applications to one-dimensional boundary value problems. Journal of King Saud University-Science, 32(6), 2790-2796. https://doi.org/10.1016/j.jksus.2020.06.016