Maehara, Hiroshi; Martini, Horst Circles, spheres and spherical geometry. (English) Zbl 07882570 Birkhäuser Advanced Texts. Basler Lehrbücher. Cham: Birkhäuser (ISBN 978-3-031-62775-0/hbk; 978-3-031-62778-1/pbk; 978-3-031-62776-7/ebook). (2024). MSC: 51-01 PDFBibTeX XML Full Text: DOI
Gao, Shenghua; Martini, Horst; Wu, Senlin; Zhang, Longzhen New covering and illumination results for a class of polytopes. (English) Zbl 1539.52016 Arch. Math. 122, No. 6, 599-607 (2024). MSC: 52C17 52B11 52B10 52A15 52A20 PDFBibTeX XMLCite \textit{S. Gao} et al., Arch. Math. 122, No. 6, 599--607 (2024; Zbl 1539.52016) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Convexity from the geometric point of view. (English) Zbl 07814105 Cornerstones. Cham: Birkhäuser (ISBN 978-3-031-50506-5/hbk; 978-3-031-50508-9/pbk; 978-3-031-50507-2/ebook). (2024). MSC: 52-01 PDFBibTeX XML Full Text: DOI
Martini, Horst; Papini, Pier Luigi; Wu, Senlin Variations of the James and Schäffer constants in Banach spaces. (English) Zbl 07795630 Ann. Funct. Anal. 15, No. 1, Paper No. 7, 12 p. (2024). MSC: 46B20 46B04 00A27 PDFBibTeX XMLCite \textit{H. Martini} et al., Ann. Funct. Anal. 15, No. 1, Paper No. 7, 12 p. (2024; Zbl 07795630) Full Text: DOI
Maehara, Hiroshi; Martini, Horst An analytic proof of a theorem of Grace. (English) Zbl 1526.51009 J. Geom. 114, No. 3, Paper No. 27, 10 p. (2023). MSC: 51M04 52A15 52B10 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, J. Geom. 114, No. 3, Paper No. 27, 10 p. (2023; Zbl 1526.51009) Full Text: DOI
Martini, Horst; Mustafaev, Zokhrab Cross-section measures, radii, and Radon curves. (English) Zbl 07740714 Quaest. Math. 46, No. 9, 1925-1936 (2023). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 52A21 52A10 PDFBibTeX XMLCite \textit{H. Martini} and \textit{Z. Mustafaev}, Quaest. Math. 46, No. 9, 1925--1936 (2023; Zbl 07740714) Full Text: DOI
He, Chan; Martini, Horst; Wu, Senlin Complete sets in normed linear spaces. (English) Zbl 1521.46008 Banach J. Math. Anal. 17, No. 3, Paper No. 45, 51 p. (2023). Reviewer: Clemente Zanco (Milano) MSC: 46B20 52A10 52A20 52A21 52A38 52A40 52B11 46-02 PDFBibTeX XMLCite \textit{C. He} et al., Banach J. Math. Anal. 17, No. 3, Paper No. 45, 51 p. (2023; Zbl 1521.46008) Full Text: DOI OA License
He, Chan; Lv, Yafang; Martini, Horst; Wu, Senlin A branch-and-bound approach for estimating covering functionals of convex bodies. (English) Zbl 1518.52009 J. Optim. Theory Appl. 196, No. 3, 1036-1055 (2023). Reviewer: Marek Lassak (Bydgoszcz) MSC: 52C17 52A10 52A37 PDFBibTeX XMLCite \textit{C. He} et al., J. Optim. Theory Appl. 196, No. 3, 1036--1055 (2023; Zbl 1518.52009) Full Text: DOI
Alonso, Javier; Martini, Horst; Wu, Senlin Orthogonality types in normed linear spaces. (English) Zbl 1503.46009 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 97-170 (2022). Reviewer: Dirk Keppens (Gent) MSC: 46B20 46C15 51F20 52A21 PDFBibTeX XMLCite \textit{J. Alonso} et al., in: Surveys in geometry I. Cham: Springer. 97--170 (2022; Zbl 1503.46009) Full Text: DOI
Balestro, Vitor; Martini, Horst Minkowski geometry – some concepts and recent developments. (English) Zbl 1506.52001 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 49-95 (2022). Reviewer: Günter F. Steinke (Christchurch) MSC: 52-02 46B20 52A20 51-02 51B20 53A04 53A05 PDFBibTeX XMLCite \textit{V. Balestro} and \textit{H. Martini}, in: Surveys in geometry I. Cham: Springer. 49--95 (2022; Zbl 1506.52001) Full Text: DOI
Maehara, Hiroshi; Martini, Horst Kissing numbers for balls with varying radii. (English) Zbl 1502.05029 Graphs Comb. 38, No. 6, Paper No. 183, 9 p. (2022). MSC: 05B40 52C15 52C17 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Graphs Comb. 38, No. 6, Paper No. 183, 9 p. (2022; Zbl 1502.05029) Full Text: DOI
Hajja, Mowaffaq; Krasopoulos, Panagiotis T.; Martini, Horst The median triangle theorem as an entrance to certain issues in higher-dimensional geometry. (English) Zbl 1502.51006 Math. Semesterber. 69, No. 1, 19-40 (2022). Reviewer: Cătălin Barbu (Bačau) MSC: 51M04 PDFBibTeX XMLCite \textit{M. Hajja} et al., Math. Semesterber. 69, No. 1, 19--40 (2022; Zbl 1502.51006) Full Text: DOI
Maehara, Hiroshi; Martini, Horst On Cesàro triangles and spherical polygons. (English) Zbl 1492.51008 Aequationes Math. 96, No. 2, 361-379 (2022). Reviewer: M. G. Mahmoudi (Tehran) MSC: 51M04 51M09 51M16 52A10 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Aequationes Math. 96, No. 2, 361--379 (2022; Zbl 1492.51008) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Convex analysis in normed spaces and metric projections onto convex bodies. (English) Zbl 1490.52007 J. Convex Anal. 28, No. 4, 1223-1248 (2021). Reviewer: T. D. Narang (Amritsar) MSC: 52A21 41A50 41A65 46B20 46G05 52A20 53C23 58C20 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Convex Anal. 28, No. 4, 1223--1248 (2021; Zbl 1490.52007) Full Text: arXiv Link
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Duality of gauges and symplectic forms in vector spaces. (English) Zbl 1482.52010 Collect. Math. 72, No. 3, 501-525 (2021). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 52A21 52A20 52A40 46B20 26B25 37J11 46B04 46B99 53D05 53D99 PDFBibTeX XMLCite \textit{V. Balestro} et al., Collect. Math. 72, No. 3, 501--525 (2021; Zbl 1482.52010) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Nikonorov, Yurii; Nikonorova, Yulia Extremal problems for convex curves with a given self Chebyshev radius. (English) Zbl 1469.52002 Result. Math. 76, No. 2, Paper No. 87, 13 p. (2021). Reviewer: Pedro Martín Jiménez (Badajoz) MSC: 52A10 52A27 52A40 53A04 PDFBibTeX XMLCite \textit{V. Balestro} et al., Result. Math. 76, No. 2, Paper No. 87, 13 p. (2021; Zbl 1469.52002) Full Text: DOI arXiv
Martini, Horst (ed.) Beiträge zur Algebra und Geometrie: half a century. (English) Zbl 1461.00067 Beitr. Algebra Geom. 62, No. 1, 1-4 (2021). MSC: 00B30 PDFBibTeX XMLCite \textit{H. Martini} (ed.), Beitr. Algebra Geom. 62, No. 1, 1--4 (2021; Zbl 1461.00067) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Some topics in differential geometry of normed spaces. (English) Zbl 1510.53013 Adv. Geom. 21, No. 1, 109-118 (2021). MSC: 53A35 46B20 53A15 53A10 52A15 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Adv. Geom. 21, No. 1, 109--118 (2021; Zbl 1510.53013) Full Text: DOI arXiv
Makai, E.; Martini, H.; Nguyên, M. H.; Soltan, V.; Talata, I. On the number of antipodal or strictly antipodal pairs of points in finite subsets of \(\mathbb{R}^d\), III. arXiv:2103.13182 Preprint, arXiv:2103.13182 [math.CO] (2021). MSC: 52C10 52B11 BibTeX Cite \textit{E. Makai} et al., ``On the number of antipodal or strictly antipodal pairs of points in finite subsets of $\mathbb{R}^d$, III'', Preprint, arXiv:2103.13182 [math.CO] (2021) Full Text: arXiv OA License
Hansen, G.; Herburt, I.; Martini, H.; Moszyńska, M. Starshaped sets. (English) Zbl 1454.52001 Aequationes Math. 94, No. 6, 1001-1092 (2020). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52-02 52A30 PDFBibTeX XMLCite \textit{G. Hansen} et al., Aequationes Math. 94, No. 6, 1001--1092 (2020; Zbl 1454.52001) Full Text: DOI OA License
Balestro, Vitor; Martini, Horst; Sakaki, Makoto Differential geometry of spatial curves for gauges. (English) Zbl 1467.46014 São Paulo J. Math. Sci. 14, No. 2, 496-509 (2020). MSC: 46B20 52A15 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., São Paulo J. Math. Sci. 14, No. 2, 496--509 (2020; Zbl 1467.46014) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Differential geometry of immersed surfaces in three-dimensional normed spaces. (English) Zbl 1475.53022 Abh. Math. Semin. Univ. Hamb. 90, No. 1, 111-134 (2020). Reviewer: Parviz Ahmadi (Zanjan) MSC: 53A35 53A15 52A15 52A21 46B20 51B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., Abh. Math. Semin. Univ. Hamb. 90, No. 1, 111--134 (2020; Zbl 1475.53022) Full Text: DOI arXiv
Ghandehari, Mostafa; Martini, Horst A reflection property in Minkowski planes. (English) Zbl 1504.51007 Ir. Math. Soc. Bull. 85, 21-30 (2020). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51F15 51B20 46B20 PDFBibTeX XMLCite \textit{M. Ghandehari} and \textit{H. Martini}, Ir. Math. Soc. Bull. 85, 21--30 (2020; Zbl 1504.51007) Full Text: Link
Martini, Horst; Mustafaev, Zokhrab New inequalities for Holmes-Thompson and Busemann measures. (English) Zbl 1474.46035 Acta Sci. Math. 86, No. 1-2, 321-330 (2020). MSC: 46B20 52A20 52A21 52A40 PDFBibTeX XMLCite \textit{H. Martini} and \textit{Z. Mustafaev}, Acta Sci. Math. 86, No. 1--2, 321--330 (2020; Zbl 1474.46035) Full Text: DOI
Maehara, Hiroshi; Martini, Horst On double-\(k\)-systems of spheres. (English) Zbl 1443.51007 Result. Math. 75, No. 3, Paper No. 114, 11 p. (2020). MSC: 51M04 51M05 51B10 52C26 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Result. Math. 75, No. 3, Paper No. 114, 11 p. (2020; Zbl 1443.51007) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph On curvature of surfaces immersed in normed spaces. (English) Zbl 1452.53005 Monatsh. Math. 192, No. 2, 291-309 (2020). Reviewer: Parviz Ahmadi (Zanjan) MSC: 53A35 53A15 53A10 58B20 52A15 51B20 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Monatsh. Math. 192, No. 2, 291--309 (2020; Zbl 1452.53005) Full Text: DOI arXiv
Kupitz, Yaakov S.; Last, Hagit; Martini, Horst; Perles, Micha A.; Pinchasi, Rom Crossing matchings and circuits have maximal length. (English) Zbl 1495.05151 J. Graph Theory 94, No. 1, 159-169 (2020). MSC: 05C38 05C12 05C70 05C10 PDFBibTeX XMLCite \textit{Y. S. Kupitz} et al., J. Graph Theory 94, No. 1, 159--169 (2020; Zbl 1495.05151) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Asymmetry measures for convex distance functions. (English) Zbl 1441.52001 J. Convex Anal. 27, No. 1, 117-138 (2020). Reviewer: Suman Panwar (New Delhi) MSC: 52A10 46B20 28A12 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Convex Anal. 27, No. 1, 117--138 (2020; Zbl 1441.52001) Full Text: arXiv Link
Cieślak, Waldemar; Martini, Horst; Mozgawa, Witold On Holditch’s theorem. (English) Zbl 1440.53002 J. Geom. 111, No. 2, Paper No. 24, 12 p. (2020). Reviewer: Ergin Bayram (Samsun) MSC: 53A04 52A38 53C65 PDFBibTeX XMLCite \textit{W. Cieślak} et al., J. Geom. 111, No. 2, Paper No. 24, 12 p. (2020; Zbl 1440.53002) Full Text: DOI OA License
Hajja, M.; Hammoudeh, I.; Hayajneh, M.; Martini, H. Concurrence of tetrahedral cevians associated with triangle centers. (English) Zbl 1442.52008 J. Geom. 111, No. 1, Paper No. 8, 23 p. (2020). Reviewer: Boumédiène Et-Taoui (Mulhouse) MSC: 52B10 52B12 52B15 51M20 52B11 51N20 PDFBibTeX XMLCite \textit{M. Hajja} et al., J. Geom. 111, No. 1, Paper No. 8, 23 p. (2020; Zbl 1442.52008) Full Text: DOI
Balestro, Vitor; Martini, Horst; Sakaki, Makoto Curvature types of planar curves for gauges. (English) Zbl 1452.46013 J. Geom. 111, No. 1, Paper No. 12, 12 p. (2020). MSC: 46B20 52A10 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Geom. 111, No. 1, Paper No. 12, 12 p. (2020; Zbl 1452.46013) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Shonoda, Emad Concepts of curvatures in normed planes. (English) Zbl 1432.52001 Expo. Math. 37, No. 4, 347-381 (2019). MSC: 52A10 26B15 46B20 51M25 51N25 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., Expo. Math. 37, No. 4, 347--381 (2019; Zbl 1432.52001) Full Text: DOI arXiv
Kuwata, Takayasu; Maehara, Hiroshi; Martini, Horst On equidistant lines of given line configurations. (English) Zbl 1431.51015 Georgian Math. J. 26, No. 4, 561-572 (2019). MSC: 51N20 52C99 51F99 51M04 PDFBibTeX XMLCite \textit{T. Kuwata} et al., Georgian Math. J. 26, No. 4, 561--572 (2019; Zbl 1431.51015) Full Text: DOI
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst The inverse problem on roulettes in normed planes. (English) Zbl 1452.46012 Anal. Math. Phys. 9, No. 4, 2413-2434 (2019). MSC: 46B20 51M05 52A21 53A04 53A17 PDFBibTeX XMLCite \textit{V. Balestro} et al., Anal. Math. Phys. 9, No. 4, 2413--2434 (2019; Zbl 1452.46012) Full Text: DOI
Martini, Horst; Mustafaev, Zokhrab On inner and outer radii in Minkowski spaces. (English) Zbl 1439.46011 J. Math. Inequal. 13, No. 3, Article No. 13-39, 601-609 (2019). MSC: 46B20 52A20 52A21 52A40 PDFBibTeX XMLCite \textit{H. Martini} and \textit{Z. Mustafaev}, J. Math. Inequal. 13, No. 3, Article No. 13--39, 601--609 (2019; Zbl 1439.46011) Full Text: DOI
Ghandehari, Mostafa; Martini, Horst On self-circumferences in Minkowski planes. (English) Zbl 1427.52007 Extr. Math. 34, No. 1, 19-28 (2019). MSC: 52A21 46B20 52A10 PDFBibTeX XMLCite \textit{M. Ghandehari} and \textit{H. Martini}, Extr. Math. 34, No. 1, 19--28 (2019; Zbl 1427.52007) Full Text: DOI
Balestro, Vitor; Martini, Horst; Teixeira, Ralph A new geometric view on Sturm-Liouville eigenvalue problems. (English) Zbl 1423.51011 Monatsh. Math. 190, No. 2, 213-236 (2019). MSC: 51M05 51B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., Monatsh. Math. 190, No. 2, 213--236 (2019; Zbl 1423.51011) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Surface immersions in normed spaces from the affine point of view. (English) Zbl 1427.53010 Geom. Dedicata 201, 21-31 (2019). MSC: 53A35 53A15 53A10 58B20 52A15 52A21 46B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., Geom. Dedicata 201, 21--31 (2019; Zbl 1427.53010) Full Text: DOI arXiv
Brandenberg, René; González Merino, Bernardo; Jahn, Thomas; Martini, Horst Is a complete, reduced set necessarily of constant width? (English) Zbl 1428.52004 Adv. Geom. 19, No. 1, 31-40 (2019). Reviewer: Carsten Schütt (Kiel) MSC: 52A20 46B20 52A21 52A40 52B11 PDFBibTeX XMLCite \textit{R. Brandenberg} et al., Adv. Geom. 19, No. 1, 31--40 (2019; Zbl 1428.52004) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Optimal constants in normed planes. (English) Zbl 1420.46015 J. Convex Anal. 26, No. 1, 89-104 (2019). MSC: 46B20 52A10 52A21 51B20 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Convex Anal. 26, No. 1, 89--104 (2019; Zbl 1420.46015) Full Text: arXiv Link
Balestro, Vitor; Martini, Horst The Rosenthal-Szasz inequality for normed planes. (English) Zbl 1406.52004 Bull. Aust. Math. Soc. 99, No. 1, 130-136 (2019). MSC: 52A10 52A21 52A40 53A35 PDFBibTeX XMLCite \textit{V. Balestro} and \textit{H. Martini}, Bull. Aust. Math. Soc. 99, No. 1, 130--136 (2019; Zbl 1406.52004) Full Text: DOI arXiv
Martini, Horst; Montejano, Luis; Oliveros, Déborah Bodies of constant width. An introduction to convex geometry with applications. (English) Zbl 1468.52001 Cham: Birkhäuser (ISBN 978-3-030-03866-3/hbk; 978-3-030-03868-7/ebook). xi, 486 p. (2019). Reviewer: Valery P. Soltan (Kishinev) MSC: 52-02 52A37 01A05 52A39 00A66 PDFBibTeX XMLCite \textit{H. Martini} et al., Bodies of constant width. An introduction to convex geometry with applications. Cham: Birkhäuser (2019; Zbl 1468.52001) Full Text: DOI
Maehara, H.; Martini, H. An analogue of Sylvester’s four-point problem on the sphere. (English) Zbl 1449.60013 Acta Math. Hung. 155, No. 2, 479-488 (2018). MSC: 60D05 52C35 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Acta Math. Hung. 155, No. 2, 479--488 (2018; Zbl 1449.60013) Full Text: DOI
Leopold, Undine; Martini, Horst Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces. (English) Zbl 1415.51030 Conder, Marston D. E. (ed.) et al., Discrete geometry and symmetry. Dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays. Selected papers based on the presentations at the conference ‘Geometry and symmetry’, Veszprém, Hungary, June 29 – July 3, 2015. Cham: Springer. Springer Proc. Math. Stat. 234, 235-255 (2018). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51M20 46B20 51M05 52A10 52A20 52A21 52B11 PDFBibTeX XMLCite \textit{U. Leopold} and \textit{H. Martini}, Springer Proc. Math. Stat. 234, 235--255 (2018; Zbl 1415.51030) Full Text: DOI arXiv
Perles, Micha A.; Martini, Horst; Kupitz, Yaakov S. Touching perfect matchings and halving lines. (English) Zbl 1411.05189 Ars Math. Contemp. 15, No. 2, 375-382 (2018). MSC: 05C62 68R10 52C35 PDFBibTeX XMLCite \textit{M. A. Perles} et al., Ars Math. Contemp. 15, No. 2, 375--382 (2018; Zbl 1411.05189) Full Text: DOI
Anatriello, Giuseppina; Martini, Horst; Vincenzi, Giovanni A synthetic way to geometrize the method of coordinates. (English) Zbl 1404.51015 J. Geom. Graph. 22, No. 1, 1-13 (2018). MSC: 51M05 51N20 03A05 PDFBibTeX XMLCite \textit{G. Anatriello} et al., J. Geom. Graph. 22, No. 1, 1--13 (2018; Zbl 1404.51015) Full Text: Link
Balestro, Vitor; Martini, Horst; Teixeira, Ralph On Legendre curves in normed planes. (English) Zbl 1408.46017 Pac. J. Math. 297, No. 1, 1-27 (2018). MSC: 46B20 51L10 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., Pac. J. Math. 297, No. 1, 1--27 (2018; Zbl 1408.46017) Full Text: DOI arXiv
Maehara, Hiroshi; Martini, Horst Elementary geometry on the integer lattice. (English) Zbl 1406.11063 Aequationes Math. 92, No. 4, 763-800 (2018). Reviewer: Alar Leibak (Tallinn) MSC: 11H06 11P21 52B20 52C05 52C07 11A67 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Aequationes Math. 92, No. 4, 763--800 (2018; Zbl 1406.11063) Full Text: DOI
He, Chan; Martini, Horst; Wu, Senlin Uniqueness of completions and related topics. (English) Zbl 1417.46012 Arch. Math. 111, No. 2, 157-165 (2018). Reviewer: Zsolt Lángi (Budapest) MSC: 46B20 52A10 PDFBibTeX XMLCite \textit{C. He} et al., Arch. Math. 111, No. 2, 157--165 (2018; Zbl 1417.46012) Full Text: DOI arXiv
Leopold, Undine; Martini, Horst Geometry of simplices in Minkowski spaces. (English) Zbl 1400.51017 Result. Math. 73, No. 2, Paper No. 83, 17 p. (2018). MSC: 51M20 51M05 52A10 52A20 52A21 52B11 PDFBibTeX XMLCite \textit{U. Leopold} and \textit{H. Martini}, Result. Math. 73, No. 2, Paper No. 83, 17 p. (2018; Zbl 1400.51017) Full Text: DOI arXiv
Ghandehari, Mostafa; Martini, Horst On the Erdős-Mordell inequality for normed planes and spaces. (English) Zbl 1413.46018 Stud. Sci. Math. Hung. 55, No. 2, 174-189 (2018). MSC: 46B20 52A10 52A21 52A40 PDFBibTeX XMLCite \textit{M. Ghandehari} and \textit{H. Martini}, Stud. Sci. Math. Hung. 55, No. 2, 174--189 (2018; Zbl 1413.46018) Full Text: DOI
Maehara, H.; Martini, H. Simplices whose dihedral angles are all rational multiples of \(\pi\), and related topics. (English) Zbl 1413.51012 Acta Math. Hung. 155, No. 1, 25-35 (2018). Reviewer: Ágota H. Temesvári (Budapest) MSC: 51M20 52B11 52C20 05B45 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Acta Math. Hung. 155, No. 1, 25--35 (2018; Zbl 1413.51012) Full Text: DOI
Martin, Pedro; Martini, Horst; Spirova, Margarita Ball hulls, ball intersections, and 2-center problems for gauges. (English) Zbl 1386.46018 Contrib. Discrete Math. 12, No. 2, 146-157 (2017). MSC: 46B20 52A10 52A21 52B55 65D18 PDFBibTeX XMLCite \textit{P. Martin} et al., Contrib. Discrete Math. 12, No. 2, 146--157 (2017; Zbl 1386.46018)
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst Angle measures, general rotations, and roulettes in normed planes. (English) Zbl 1388.46016 Anal. Math. Phys. 7, No. 4, 549-575 (2017). MSC: 46B20 51M05 52A21 53A17 PDFBibTeX XMLCite \textit{V. Balestro} et al., Anal. Math. Phys. 7, No. 4, 549--575 (2017; Zbl 1388.46016) Full Text: DOI arXiv
Kupitz, Yaakov S.; Martini, Horst; Perles, Micha A. \(k\)-bisectors of finite planar sets. (English) Zbl 1371.05039 Graphs Comb. 33, No. 4, 981-990 (2017). MSC: 05B25 05A18 05A20 52C10 PDFBibTeX XMLCite \textit{Y. S. Kupitz} et al., Graphs Comb. 33, No. 4, 981--990 (2017; Zbl 1371.05039) Full Text: DOI
Maehara, Hiroshi; Martini, Horst Outer normal transforms of convex polytopes. (English) Zbl 1378.52012 Result. Math. 72, No. 1-2, 87-103 (2017). MSC: 52B11 51M20 52B10 52C99 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Result. Math. 72, No. 1--2, 87--103 (2017; Zbl 1378.52012) Full Text: DOI
Ivanov, G.; Martini, H. New moduli for Banach spaces. (English) Zbl 1379.46018 Ann. Funct. Anal. 8, No. 3, 350-365 (2017). MSC: 46B20 52A10 52A20 52A21 PDFBibTeX XMLCite \textit{G. Ivanov} and \textit{H. Martini}, Ann. Funct. Anal. 8, No. 3, 350--365 (2017; Zbl 1379.46018) Full Text: DOI arXiv Euclid
Jahn, Thomas; Martini, Horst; Richter, Christian Ball convex bodies in Minkowski spaces. (English) Zbl 1378.46015 Pac. J. Math. 289, No. 2, 287-316 (2017). MSC: 46B20 52A01 52A20 52A21 52A35 PDFBibTeX XMLCite \textit{T. Jahn} et al., Pac. J. Math. 289, No. 2, 287--316 (2017; Zbl 1378.46015) Full Text: DOI arXiv
Martini, Horst; Mustafaev, Zokhrab New inequalities for products of cross-section measures. (English) Zbl 1377.52006 Math. Inequal. Appl. 20, No. 2, 353-361 (2017). Reviewer: George Stoica (Saint John) MSC: 52A20 52A21 52A40 PDFBibTeX XMLCite \textit{H. Martini} and \textit{Z. Mustafaev}, Math. Inequal. Appl. 20, No. 2, 353--361 (2017; Zbl 1377.52006) Full Text: DOI
Maehara, Hiroshi; Martini, Horst Geometric probability on the sphere. (English) Zbl 1401.60019 Jahresber. Dtsch. Math.-Ver. 119, No. 2, 93-132 (2017). Reviewer: Florian Pausinger (Belfast) MSC: 60D05 52A22 53C65 60-02 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Jahresber. Dtsch. Math.-Ver. 119, No. 2, 93--132 (2017; Zbl 1401.60019) Full Text: DOI
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst; Teixeira, Ralph Angles in normed spaces. (English) Zbl 1365.52006 Aequationes Math. 91, No. 2, 201-236 (2017). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 52A21 32A70 46B20 46C15 46C50 51M05 51M25 PDFBibTeX XMLCite \textit{V. Balestro} et al., Aequationes Math. 91, No. 2, 201--236 (2017; Zbl 1365.52006) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Geometric properties of a sine function extendable to arbitrary normed planes. (English) Zbl 1367.52005 Monatsh. Math. 182, No. 4, 781-800 (2017). MSC: 52A21 33B10 46B20 52A10 51M05 PDFBibTeX XMLCite \textit{V. Balestro} et al., Monatsh. Math. 182, No. 4, 781--800 (2017; Zbl 1367.52005) Full Text: DOI arXiv
Makai, E.; Martini, H. Unique local determination of convex bodies. (English) Zbl 1389.52002 Acta Math. Hung. 150, No. 1, 176-193 (2016). Reviewer: Wolfgang Weil (Karlsruhe) MSC: 52A20 52A38 PDFBibTeX XMLCite \textit{E. Makai} and \textit{H. Martini}, Acta Math. Hung. 150, No. 1, 176--193 (2016; Zbl 1389.52002) Full Text: DOI arXiv Link
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Geometric constants for quantifying the difference between orthogonality types. (English) Zbl 1365.46012 Ann. Funct. Anal. 7, No. 4, 656-671 (2016). MSC: 46B20 52A10 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Ann. Funct. Anal. 7, No. 4, 656--671 (2016; Zbl 1365.46012) Full Text: DOI arXiv Euclid
Craizer, Marcos; Martini, Horst Involutes of polygons of constant width in Minkowski planes. (English) Zbl 1354.52003 Ars Math. Contemp. 11, No. 1, 107-125 (2016). MSC: 52A10 52A21 53A15 53A40 51B20 PDFBibTeX XMLCite \textit{M. Craizer} and \textit{H. Martini}, Ars Math. Contemp. 11, No. 1, 107--125 (2016; Zbl 1354.52003) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph A new construction of Radon curves and related topics. (English) Zbl 1372.52004 Aequationes Math. 90, No. 5, 1013-1024 (2016). Reviewer: A. E. Litvak (Edmonton) MSC: 52A10 32A70 46B20 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Aequationes Math. 90, No. 5, 1013--1024 (2016; Zbl 1372.52004) Full Text: DOI arXiv
Jahn, Thomas; Martini, Horst; Richter, Christian Bi- and multifocal curves and surfaces for gauges. (English) Zbl 1348.51006 J. Convex Anal. 23, No. 3, 733-774 (2016). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 51M04 46B20 14H50 49J53 52A10 52A21 53A04 14H45 53A05 PDFBibTeX XMLCite \textit{T. Jahn} et al., J. Convex Anal. 23, No. 3, 733--774 (2016; Zbl 1348.51006) Full Text: Link
Donisi, Serena; Martini, Horst; Vincenzi, Giovanni; Vitale, Gaetano Polygons derived from polygons via iterated constructions. (English) Zbl 1341.51016 Differ. Geom. Dyn. Syst. 18, 14-31 (2016). MSC: 51M04 51N20 52A10 PDFBibTeX XMLCite \textit{S. Donisi} et al., Differ. Geom. Dyn. Syst. 18, 14--31 (2016; Zbl 1341.51016) Full Text: Link
He, Chan; Martini, Horst; Wu, Senlin On covering functionals of convex bodies. (English) Zbl 1334.52007 J. Math. Anal. Appl. 437, No. 2, 1236-1256 (2016). MSC: 52A21 46B25 PDFBibTeX XMLCite \textit{C. He} et al., J. Math. Anal. Appl. 437, No. 2, 1236--1256 (2016; Zbl 1334.52007) Full Text: DOI
Martini, Horst; Shcherba, Anatoliy Upper estimates on self-perimeters of unit circles for gauges. (English) Zbl 1334.28008 Colloq. Math. 142, No. 2, 179-210 (2016). MSC: 28A75 46B20 52A10 PDFBibTeX XMLCite \textit{H. Martini} and \textit{A. Shcherba}, Colloq. Math. 142, No. 2, 179--210 (2016; Zbl 1334.28008) Full Text: DOI
Makai, E.; Martini, H. Density estimates for \(k\)-impassable lattices of balls and general convex bodies in \({\Bbb R}^n\). arXiv:1612.01307 Preprint, arXiv:1612.01307 [math.MG] (2016). MSC: 52C07 52A40 BibTeX Cite \textit{E. Makai} and \textit{H. Martini}, ``Density estimates for $k$-impassable lattices of balls and general convex bodies in ${\Bbb R}^n$'', Preprint, arXiv:1612.01307 [math.MG] (2016) Full Text: arXiv OA License
Martín, Pedro; Martini, Horst Algorithms for ball hulls and ball intersections in normed planes. (English) Zbl 1408.52025 J. Comput. Geom. 6, No. 1, 99-107 (2015). MSC: 52B55 52A21 68Q25 PDFBibTeX XMLCite \textit{P. Martín} and \textit{H. Martini}, J. Comput. Geom. 6, No. 1, 99--107 (2015; Zbl 1408.52025) Full Text: DOI arXiv
Martini, Horst; Wu, Senlin Complete sets need not be reduced in Minkowski spaces. (English) Zbl 1347.52008 Beitr. Algebra Geom. 56, No. 2, 533-539 (2015). Reviewer: David Yost (Ballarat) MSC: 52A21 46B20 52A20 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Beitr. Algebra Geom. 56, No. 2, 533--539 (2015; Zbl 1347.52008) Full Text: DOI arXiv
Martini, Horst; Mustafaev, Zokhrab Centered convex bodies and inequalities for cross-section measures. (English) Zbl 1331.52007 Math. Inequal. Appl. 18, No. 2, 759-767 (2015). Reviewer: Zsolt Lángi (Budapest) MSC: 52A20 46B20 52A21 52A40 PDFBibTeX XMLCite \textit{H. Martini} and \textit{Z. Mustafaev}, Math. Inequal. Appl. 18, No. 2, 759--767 (2015; Zbl 1331.52007) Full Text: DOI
Jahn, Thomas; Kupitz, Yaakov S.; Martini, Horst; Richter, Christian Minsum location extended to gauges and to convex sets. (English) Zbl 1329.52010 J. Optim. Theory Appl. 166, No. 3, 711-746 (2015). Reviewer: S. S. Kutateladze (Novosibirsk) MSC: 52A41 46N10 46A22 46B20 49K10 49N15 52A20 52A21 90B85 90C25 90C46 PDFBibTeX XMLCite \textit{T. Jahn} et al., J. Optim. Theory Appl. 166, No. 3, 711--746 (2015; Zbl 1329.52010) Full Text: DOI arXiv
Martini, Horst; Nguyen Mau Nam; Robinson, Adam On the equivalence of the Theorems of Helly, Radon, and Carathéodory via convex analysis. (English) Zbl 1320.52003 J. Convex Anal. 22, No. 2, 591-601 (2015). MSC: 52A05 52A20 52A35 52A37 PDFBibTeX XMLCite \textit{H. Martini} et al., J. Convex Anal. 22, No. 2, 591--601 (2015; Zbl 1320.52003) Full Text: Link
Martini, Horst; Wu, Senlin Classical curve theory in normed planes. (English) Zbl 1364.52005 Comput. Aided Geom. Des. 31, No. 7-8, 373-397 (2014). MSC: 52A21 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Comput. Aided Geom. Des. 31, No. 7--8, 373--397 (2014; Zbl 1364.52005) Full Text: DOI
Makai, E. jun.; Martini, H.; Ódor, T. On a theorem of D. Ryabogin and V. Yaskin about detecting symmetry. (English) Zbl 1381.52011 Note Mat. 34, No. 2, 1-5 (2014). MSC: 52A30 52A38 PDFBibTeX XMLCite \textit{E. Makai jun.} et al., Note Mat. 34, No. 2, 1--5 (2014; Zbl 1381.52011) Full Text: arXiv Link
Cieślak, Waldemar; Martini, Horst; Mozgawa, Witold Rotation indices related to Poncelet’s closure theorem. (English) Zbl 1312.51005 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 68, No. 2, 19-26 (2014). MSC: 51M04 51N20 52A10 53A04 PDFBibTeX XMLCite \textit{W. Cieślak} et al., Ann. Univ. Mariae Curie-Skłodowska, Sect. A 68, No. 2, 19--26 (2014; Zbl 1312.51005) Full Text: DOI Link OA License
Lassak, Marek; Martini, Horst Reduced convex bodies in finite dimensional normed spaces: a survey. (English) Zbl 1310.52004 Result. Math. 66, No. 3-4, 405-426 (2014). MSC: 52A21 46B20 51M25 52A10 52A20 52A40 52B11 PDFBibTeX XMLCite \textit{M. Lassak} and \textit{H. Martini}, Result. Math. 66, No. 3--4, 405--426 (2014; Zbl 1310.52004) Full Text: DOI
Hansen, Guillermo; Martini, Horst Dispensable points, radial functions, and boundaries of starshaped sets. (English) Zbl 1340.52002 Acta Sci. Math. 80, No. 3-4, 689-699 (2014). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A07 52A20 52A30 PDFBibTeX XMLCite \textit{G. Hansen} and \textit{H. Martini}, Acta Sci. Math. 80, No. 3--4, 689--699 (2014; Zbl 1340.52002) Full Text: DOI
Lassak, Marek; Martini, Horst; Spirova, Margarita On translative coverings of convex bodies. (English) Zbl 1305.52022 Rocky Mt. J. Math. 44, No. 4, 1281-1299 (2014). Reviewer: Lángi Zsolt (Budapest) MSC: 52C17 52A20 52A40 PDFBibTeX XMLCite \textit{M. Lassak} et al., Rocky Mt. J. Math. 44, No. 4, 1281--1299 (2014; Zbl 1305.52022) Full Text: DOI Euclid
Martini, Horst; Richter, Christian; Spirova, Margarita Illuminating and covering convex bodies. (English) Zbl 1303.52009 Discrete Math. 337, 106-118 (2014). MSC: 52C15 PDFBibTeX XMLCite \textit{H. Martini} et al., Discrete Math. 337, 106--118 (2014; Zbl 1303.52009) Full Text: DOI arXiv
Martín, Pedro; Martini, Horst; Spirova, Margarita Chebyshev sets and ball operators. (English) Zbl 1303.41014 J. Convex Anal. 21, No. 3, 601-618 (2014). Reviewer: T. D. Narang (Amritsar) MSC: 41A50 41A63 46B20 52A21 PDFBibTeX XMLCite \textit{P. Martín} et al., J. Convex Anal. 21, No. 3, 601--618 (2014; Zbl 1303.41014) Full Text: Link
Martini, Horst; Spirova, Margarita; Strambach, Karl Geometric algebra of strictly convex Minkowski planes. (English) Zbl 1320.46015 Aequationes Math. 88, No. 1-2, 49-66 (2014). MSC: 46B20 51F15 51F20 52A10 52A21 PDFBibTeX XMLCite \textit{H. Martini} et al., Aequationes Math. 88, No. 1--2, 49--66 (2014; Zbl 1320.46015) Full Text: DOI
Martini, Horst; Papini, Pier Luigi; Spirova, Margarita Complete sets and completion of sets in Banach spaces. (English) Zbl 1311.46015 Monatsh. Math. 174, No. 4, 587-597 (2014). MSC: 46B20 46B99 52A05 52A20 52A21 PDFBibTeX XMLCite \textit{H. Martini} et al., Monatsh. Math. 174, No. 4, 587--597 (2014; Zbl 1311.46015) Full Text: DOI arXiv
Martini, Horst; Wu, Senlin Characterizations of \(l_\infty^n\) and \(l_1^n\), and their stabilities. (English) Zbl 1294.52006 J. Math. Anal. Appl. 419, No. 2, 688-702 (2014). MSC: 52A21 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, J. Math. Anal. Appl. 419, No. 2, 688--702 (2014; Zbl 1294.52006) Full Text: DOI
Hajja, Mowaffaq; Martini, Horst Proposition 21 of Book I of Euclid’s Elements: variants, generalizations, and open questions. (English) Zbl 1303.51010 Mitt. Math. Ges. Hamb. 33, 135-159 (2013). Reviewer: Victor V. Pambuccian (Phoenix) (MR3157444) MSC: 51M04 01A20 51M05 51M16 51M25 PDFBibTeX XMLCite \textit{M. Hajja} and \textit{H. Martini}, Mitt. Math. Ges. Hamb. 33, 135--159 (2013; Zbl 1303.51010)
He, Chan; Martini, Horst; Wu, Senlin On bisectors for convex distance functions. (English) Zbl 1302.46012 Extr. Math. 28, No. 1, 57-76 (2013). MSC: 46B20 52A10 PDFBibTeX XMLCite \textit{C. He} et al., Extr. Math. 28, No. 1, 57--76 (2013; Zbl 1302.46012)
Hajja, Mowaffaq; Martini, Horst Concurrency of the altitudes of a triangle. (English) Zbl 1291.51012 Math. Semesterber. 60, No. 2, 249-260 (2013). Reviewer: Antonio M. Oller (Zaragoza) MSC: 51M04 51-03 01A20 01A30 51M15 51N20 PDFBibTeX XMLCite \textit{M. Hajja} and \textit{H. Martini}, Math. Semesterber. 60, No. 2, 249--260 (2013; Zbl 1291.51012) Full Text: DOI
Hajja, Mowaffaq; Martini, Horst Orthocentric simplices as the true generalizations of triangles. (English) Zbl 1287.51011 Math. Intell. 35, No. 2, 16-28 (2013). Reviewer: Ana Soledad Meroño Moreno (Madrid) MSC: 51M04 51-02 51Mxx 51M20 PDFBibTeX XMLCite \textit{M. Hajja} and \textit{H. Martini}, Math. Intell. 35, No. 2, 16--28 (2013; Zbl 1287.51011) Full Text: DOI
Alonso, Javier; Martini, Horst; Spirova, Margarita On reduced triangles in normed planes. (English) Zbl 1296.46011 Result. Math. 64, No. 3-4, 269-288 (2013). Reviewer: David Yost (Ballarat) MSC: 46B20 52A10 51N10 52A21 PDFBibTeX XMLCite \textit{J. Alonso} et al., Result. Math. 64, No. 3--4, 269--288 (2013; Zbl 1296.46011) Full Text: DOI
Kupitz, Yaakov S.; Martini, Horst; Spirova, Margarita The Fermat-Torricelli problem. I: A discrete gradient-method approach. (English) Zbl 1292.90282 J. Optim. Theory Appl. 158, No. 2, 305-327 (2013). Reviewer: Gerhard-Wilhelm Weber (Ankara) MSC: 90C30 90B85 PDFBibTeX XMLCite \textit{Y. S. Kupitz} et al., J. Optim. Theory Appl. 158, No. 2, 305--327 (2013; Zbl 1292.90282) Full Text: DOI
Alonso, Javier; Martini, Horst; Spirova, Margarita Discrete geometry in Minkowski spaces. (English) Zbl 1290.52007 Bezdek, Károly (ed.) et al., Discrete geometry and optimization. Selected papers based on the presentations at the conference and workshop, Toronto, Canada, September 19–23, 2011. New York, NY: Springer (ISBN 978-3-319-00199-9/hbk; 978-3-319-00200-2/ebook). Fields Institute Communications 69, 1-15 (2013). Reviewer: A. E. Litvak (Edmonton) MSC: 52A21 52A10 52B12 52C15 52C17 52C20 46B20 90B85 PDFBibTeX XMLCite \textit{J. Alonso} et al., Fields Inst. Commun. 69, 1--15 (2013; Zbl 1290.52007) Full Text: DOI
Martini, Horst; Richter, Christian; Spirova, Margarita Intersections of balls and sets of constant width in finite-dimensional normed spaces. (English) Zbl 1278.52002 Mathematika 59, No. 2, 477-492 (2013). Reviewer: Erhard Heil (Darmstadt) MSC: 52A21 52A20 52A10 46B20 PDFBibTeX XMLCite \textit{H. Martini} et al., Mathematika 59, No. 2, 477--492 (2013; Zbl 1278.52002) Full Text: DOI
Martini, Horst; Wu, Senlin Cassini curves in normed planes. (English) Zbl 1276.52008 Result. Math. 63, No. 3-4, 1159-1175 (2013). Reviewer: Martin Henk (Magdeburg) MSC: 52A21 52A10 46B20 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, Result. Math. 63, No. 3--4, 1159--1175 (2013; Zbl 1276.52008) Full Text: DOI
Martini, Horst; Shcherba, Anatoly On the stability of the unit circle with minimal self-perimeter in normed planes. (English) Zbl 1285.46010 Colloq. Math. 131, No. 1, 69-87 (2013). Reviewer: Margarita Spirova (Chemnitz) MSC: 46B20 52A10 52A21 52A38 PDFBibTeX XMLCite \textit{H. Martini} and \textit{A. Shcherba}, Colloq. Math. 131, No. 1, 69--87 (2013; Zbl 1285.46010) Full Text: DOI
Cieślak, W.; Martini, H.; Mozgawa, W. On the rotation index of bar billiards and Poncelet’s porism. (English) Zbl 1278.53006 Bull. Belg. Math. Soc. - Simon Stevin 20, No. 2, 287-300 (2013). Reviewer: Renzo L. Ricca (Milano) MSC: 53A04 51M04 51N20 PDFBibTeX XMLCite \textit{W. Cieślak} et al., Bull. Belg. Math. Soc. - Simon Stevin 20, No. 2, 287--300 (2013; Zbl 1278.53006) Full Text: Euclid
Horváth, Á. G.; Martini, H. Bounded representation and radial projections of bisectors in normed spaces. (English) Zbl 1273.46005 Rocky Mt. J. Math. 43, No. 1, 179-191 (2013). Reviewer: Margarita Spirova (Chemnitz) MSC: 46B20 51M05 52A21 57N16 PDFBibTeX XMLCite \textit{Á. G. Horváth} and \textit{H. Martini}, Rocky Mt. J. Math. 43, No. 1, 179--191 (2013; Zbl 1273.46005) Full Text: DOI arXiv Euclid
Martini, Horst; Spirova, Margarita On universal covers in normed planes. (English) Zbl 1266.52010 Adv. Geom. 13, No. 1, 41-50 (2013). Reviewer: Joscha Prochno (Linz) MSC: 52A21 46B20 52A10 52A40 52C15 PDFBibTeX XMLCite \textit{H. Martini} and \textit{M. Spirova}, Adv. Geom. 13, No. 1, 41--50 (2013; Zbl 1266.52010) Full Text: DOI