Publicaciones (36) Publicaciones de Bernardo Gonzalez Merino

2023

  1. Some Remarks on Petty Projection of Log-concave Functions

    Journal of Geometric Analysis, Vol. 33, Núm. 8

  2. Tightening and reversing the arithmetic-harmonic mean inequality for symmetrizations of convex sets

    Communications in Contemporary Mathematics, Vol. 25, Núm. 9

2022

  1. Behaviour of inradius, circumradius, and diameter in generalized Minkowski spaces

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 116, Núm. 3

  2. Best approximation of functions by log-polynomials

    Journal of Functional Analysis, Vol. 282, Núm. 5

  3. Relating Symmetrizations of Convex Bodies: Once More the Golden Ratio

    American Mathematical Monthly, Vol. 129, Núm. 4, pp. 352-362

2021

  1. Central Diagonal Sections of the n-Cube

    International Mathematics Research Notices, Vol. 2021, Núm. 4, pp. 2861-2881

  2. Estimating the average of functions with convexity properties by means of a new center

    Annali di Matematica Pura ed Applicata, Vol. 200, Núm. 5, pp. 2285-2304

  3. LARGE SIGNED SUBSET SUMS

    Mathematika, Vol. 67, Núm. 3, pp. 579-595

  4. On the isodiametric and isominwidth inequalities for planar bisections

    Revista matemática iberoamericana, Vol. 37, Núm. 4, pp. 1247-1275

2020

  1. An extension of Berwald's inequality and its relation to Zhang's inequality

    Journal of Mathematical Analysis and Applications, Vol. 486, Núm. 1

  2. On a Generalization of the Hermite–Hadamard Inequality and Applications in Convex Geometry

    Mediterranean Journal of Mathematics, Vol. 17, Núm. 5

  3. On large equilateral point-sets in normed spaces

    Archiv der Mathematik, Vol. 114, Núm. 5, pp. 553-559

  4. On the reverse isodiametric problem and Dvoretzky–Rogers-type volume bounds

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 114, Núm. 3

  5. Zhang’s inequality for log-concave functions

    Lecture Notes in Mathematics (Springer), pp. 29-48

2019

  1. Is a complete, reduced set necessarily of constant width?

    Advances in Geometry, Vol. 19, Núm. 1, pp. 31-40

  2. Rogers–Shephard and local Loomis–Whitney type inequalities

    Mathematische Annalen, Vol. 374, Núm. 3-4, pp. 1719-1771

  3. Uniqueness of circumcenters in generalized Minkowski spaces

    Journal of Approximation Theory, Vol. 237, pp. 153-159

2018

  1. Additive colourful Carathéodory type results with an application to radii

    Linear Algebra and Its Applications, Vol. 554, pp. 342-357

  2. Hunting for Reduced Polytopes

    Discrete and Computational Geometry, Vol. 60, Núm. 3, pp. 801-808

  3. John’s Ellipsoid and the Integral Ratio of a Log-Concave Function

    Journal of Geometric Analysis, Vol. 28, Núm. 2, pp. 1182-1201