Publicaciones (13) Publicaciones de Pedro Ortiz Herranz

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

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

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

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

2019

  1. On certain inequalities associated to curvature properties of the nonlinear PPH reconstruction operator

    Journal of Inequalities and Applications, Vol. 2019

2018

  1. Nonlinear reconstructions in non uniform meshes

    II joint meeting Spain-Brazil in Mathematics: Cádiz, del 11 al 14 de diciembre de 2018

2017

  1. A new reconstruction based on the harmonic mean for triangular meshes

    XII Jornadas de Analisís Numérico y Aplicaciones: Logroño, 23 y 24 de noviembre de 2017

  2. Curvature study for PPH reconstruction operator and applications to smoothing splines

    17th International Conference Computational and Mathematical Methods in Science and Engineering (CMMSE 2017): Cádiz, del 4 al 8 de julio de 2017

  3. On the analysis of new family of splines adapted to the present of jump discontinuities

    XII Jornadas de Analisís Numérico y Aplicaciones: Logroño, 23 y 24 de noviembre de 2017

  4. Study of convexity preservation and curvature minimization in the PPH reconstruction

    XXV Congreso de ecuaciones diferenciales y aplicaciones , XV Congreso de matemática aplicada

2015

  1. A nonlinear reconstruction operator on non uniform grids

    JANAS 2015