Publications (88) Publications de Juan Carlos Trillo Moya

2025

  1. ON THE GENERALIZATION OF SECANT METHOD AND THE ORDER OF CONVERGENCE

    Journal of Applied Analysis and Computation, Vol. 15, Núm. 1, pp. 245-260

2024

  1. Geometric representation of the weighted harmonic mean of n positive values and potential applications.

    Indian Journal of Pure and Applied Mathematics, Vol. 55, Núm. 2, pp. 794-804

2023

  1. A new family of means: the generalized weighted power means and applications

    International Journal of Computer Mathematics, Vol. 100, Núm. 2, pp. 422-439

  2. About a dubious proof of a correct result about closed Newton Cotes error formulas

    Open Mathematics, Vol. 21, Núm. 1

  3. Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms

    Journal of Scientific Computing, Vol. 95, Núm. 3

  4. Numerical integration rules with improved accuracy close to discontinuities

    Mathematics and Computers in Simulation, Vol. 210, pp. 593-614

  5. The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids

    Mathematics and Computers in Simulation, Vol. 203, pp. 408-424

2022

  1. A class of C 2 quasi-interpolating splines free of Gibbs phenomenon

    Numerical Algorithms, Vol. 91, Núm. 1, pp. 51-79

2021

  1. A piecewise polynomial harmonic nonlinear interpolatory reconstruction operator on non uniform grids—adaptation around jump discontinuities and elimination of gibbs phenomenon

    Mathematics, Vol. 9, Núm. 4, pp. 1-19

  2. Analysis of a new nonlinear interpolatory subdivision scheme on σ quasi-uniform grids

    Mathematics, Vol. 9, Núm. 12

  3. Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions

    Applied Mathematics and Computation, Vol. 399

  4. On a class of splines free of Gibbs phenomenon

    ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 55, pp. S29-S64

  5. On new means with interesting practical applications: Generalized power means

    Mathematics, Vol. 9, Núm. 9

  6. On the application of the generalized means to construct multiresolution schemes satisfying certain inequalities proving stability

    Mathematics, Vol. 9, Núm. 5, pp. 1-15

  7. On the convexity preservation of a Quasi C3 nonlinear interpolatory reconstruction operator on σ Quasi-uniform grids

    Mathematics, Vol. 9, Núm. 4, pp. 1-18

2020

  1. N-dimensional error control multiresolution algorithms for the point value discretization

    Mathematics and Computers in Simulation, Vol. 170, pp. 79-97

  2. On a family of non-oscillatory subdivision schemes having regularity C r with r > 1

    Numerical Algorithms, Vol. 85, Núm. 2, pp. 543-569

  3. On the application of Lehmer means in signal and image processing

    International Journal of Computer Mathematics, Vol. 97, Núm. 7, pp. 1503-1528

  4. On the use of generalized harmonic means in image processing using multiresolution algorithms

    International Journal of Computer Mathematics, Vol. 97, Núm. 1-2, pp. 455-466

2019

  1. Aprendiendo otras disciplinas a través del ajedrez

    Exido 2019: IV Jornadas de Experiencias e Innovación Docente en Estadística y Matemáticas: Jaén, 19 de julio de 2019