Bernardo
Gonzalez Merino
Profesores Titulares de Universidad
Publicaciones (36) Publicaciones de Bernardo Gonzalez Merino
2023
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Some Remarks on Petty Projection of Log-concave Functions
Journal of Geometric Analysis, Vol. 33, Núm. 8
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Tightening and reversing the arithmetic-harmonic mean inequality for symmetrizations of convex sets
Communications in Contemporary Mathematics, Vol. 25, Núm. 9
2022
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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
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Best approximation of functions by log-polynomials
Journal of Functional Analysis, Vol. 282, Núm. 5
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Relating Symmetrizations of Convex Bodies: Once More the Golden Ratio
American Mathematical Monthly, Vol. 129, Núm. 4, pp. 352-362
2021
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Central Diagonal Sections of the n-Cube
International Mathematics Research Notices, Vol. 2021, Núm. 4, pp. 2861-2881
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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
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LARGE SIGNED SUBSET SUMS
Mathematika, Vol. 67, Núm. 3, pp. 579-595
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On the isodiametric and isominwidth inequalities for planar bisections
Revista matemática iberoamericana, Vol. 37, Núm. 4, pp. 1247-1275
2020
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An extension of Berwald's inequality and its relation to Zhang's inequality
Journal of Mathematical Analysis and Applications, Vol. 486, Núm. 1
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On a Generalization of the Hermite–Hadamard Inequality and Applications in Convex Geometry
Mediterranean Journal of Mathematics, Vol. 17, Núm. 5
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On large equilateral point-sets in normed spaces
Archiv der Mathematik, Vol. 114, Núm. 5, pp. 553-559
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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
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Zhang’s inequality for log-concave functions
Lecture Notes in Mathematics (Springer), pp. 29-48
2019
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Is a complete, reduced set necessarily of constant width?
Advances in Geometry, Vol. 19, Núm. 1, pp. 31-40
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Rogers–Shephard and local Loomis–Whitney type inequalities
Mathematische Annalen, Vol. 374, Núm. 3-4, pp. 1719-1771
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Uniqueness of circumcenters in generalized Minkowski spaces
Journal of Approximation Theory, Vol. 237, pp. 153-159
2018
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Additive colourful Carathéodory type results with an application to radii
Linear Algebra and Its Applications, Vol. 554, pp. 342-357
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Hunting for Reduced Polytopes
Discrete and Computational Geometry, Vol. 60, Núm. 3, pp. 801-808
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John’s Ellipsoid and the Integral Ratio of a Log-Concave Function
Journal of Geometric Analysis, Vol. 28, Núm. 2, pp. 1182-1201