Hoskins, Jeremy; Kabluchko, Zakhar Dynamics of zeroes under repeated differentiation. (English) Zbl 07772713 Exp. Math. 32, No. 4, 573-599 (2023). MSC: 30C15 35A25 60B10 60B20 60F10 82C70 35Q70 46L54 44A15 31A99 PDFBibTeX XMLCite \textit{J. Hoskins} and \textit{Z. Kabluchko}, Exp. Math. 32, No. 4, 573--599 (2023; Zbl 07772713) Full Text: DOI arXiv
Adly, Samir; Nacry, Florent; Thibault, Lionel Prox-regular sets and Legendre-Fenchel transform related to separation properties. (English) Zbl 1493.49018 Optimization 71, No. 7, 2097-2129 (2022). MSC: 49J52 49J53 46N10 PDFBibTeX XMLCite \textit{S. Adly} et al., Optimization 71, No. 7, 2097--2129 (2022; Zbl 1493.49018) Full Text: DOI HAL
Akopyan, Arseniy; Vysotsky, Vladislav Large deviations of convex hulls of planar random walks and Brownian motions. (Grandes déviations pour l’enveloppe convexe de marches aléatoires et de mouvements Browniens dans le plan.) (English. French summary) Zbl 1483.60015 Ann. Henri Lebesgue 4, 1163-1201 (2021). MSC: 60D05 60F10 60G50 26B25 52A22 60G70 60J65 60G51 PDFBibTeX XMLCite \textit{A. Akopyan} and \textit{V. Vysotsky}, Ann. Henri Lebesgue 4, 1163--1201 (2021; Zbl 1483.60015) Full Text: DOI arXiv
Vysotsky, Vladislav When is the rate function of a random vector strictly convex? (English) Zbl 1493.60042 Electron. Commun. Probab. 26, Paper No. 41, 11 p. (2021). MSC: 60E10 60F10 26B25 PDFBibTeX XMLCite \textit{V. Vysotsky}, Electron. Commun. Probab. 26, Paper No. 41, 11 p. (2021; Zbl 1493.60042) Full Text: DOI arXiv
Cheng, Lixin; Luo, Sijie On order-preserving and order-reversing mappings defined on cones of convex functions. (English) Zbl 1482.46096 Sci. China, Math. 64, No. 8, 1817-1842 (2021). Reviewer: Constantin Niculescu (Craiova) MSC: 46N10 46B10 PDFBibTeX XMLCite \textit{L. Cheng} and \textit{S. Luo}, Sci. China, Math. 64, No. 8, 1817--1842 (2021; Zbl 1482.46096) Full Text: DOI arXiv
Wada, Fumioki Conjugate convex functions without infinity. (English) Zbl 1466.46073 J. Convex Anal. 28, No. 1, 55-66 (2021). Reviewer: Constantin Niculescu (Craiova) MSC: 46N10 49N15 26B25 52A41 PDFBibTeX XMLCite \textit{F. Wada}, J. Convex Anal. 28, No. 1, 55--66 (2021; Zbl 1466.46073) Full Text: Link
Manga, Clément; Coulibaly, Alioune On equations of Wiener-Poisson type with small parameters. (English) Zbl 1454.35217 Adv. Dyn. Syst. Appl. 15, No. 2, 125-140 (2020). MSC: 35K57 60F10 60G52 60H15 PDFBibTeX XMLCite \textit{C. Manga} and \textit{A. Coulibaly}, Adv. Dyn. Syst. Appl. 15, No. 2, 125--140 (2020; Zbl 1454.35217) Full Text: Link
Kamocki, Rafał On a differential inclusion involving Dirichlet-Laplace operators of fractional orders. (English) Zbl 1451.35251 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4089-4106 (2020). MSC: 35R11 35R70 35J20 47J22 PDFBibTeX XMLCite \textit{R. Kamocki}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4089--4106 (2020; Zbl 1451.35251) Full Text: DOI
Pinsky, Ross G. The speed of a general random walk reinforced by its recent history. (English) Zbl 1456.60109 Stochastic Processes Appl. 130, No. 8, 4793-4807 (2020). MSC: 60G50 60F10 60K35 60J10 PDFBibTeX XMLCite \textit{R. G. Pinsky}, Stochastic Processes Appl. 130, No. 8, 4793--4807 (2020; Zbl 1456.60109) Full Text: DOI arXiv
Carpio, Ronaldo; Kamihigashi, Takashi Fast value iteration: an application of Legendre-Fenchel duality to a class of deterministic dynamic programming problems in discrete time. (English) Zbl 1441.90173 J. Difference Equ. Appl. 26, No. 2, 209-222 (2020). MSC: 90C39 46N10 PDFBibTeX XMLCite \textit{R. Carpio} and \textit{T. Kamihigashi}, J. Difference Equ. Appl. 26, No. 2, 209--222 (2020; Zbl 1441.90173) Full Text: DOI
Kanno, Yoshihiro Intrinsic formulation and Lagrange duality for elastic cable networks with geometrical nonlinearity. (English) Zbl 1412.74056 J. Elasticity 134, No. 2, 193-217 (2019). MSC: 74P10 90C20 90C25 90C46 49N15 PDFBibTeX XMLCite \textit{Y. Kanno}, J. Elasticity 134, No. 2, 193--217 (2019; Zbl 1412.74056) Full Text: DOI
Iusem, Alfredo N.; Reem, Daniel; Reich, Simeon Fixed points of Legendre-Fenchel type transforms. (English) Zbl 1514.47082 J. Convex Anal. 26, No. 1, 275-298 (2019). MSC: 47H10 26B25 52A41 47N10 47H05 47J05 39B42 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., J. Convex Anal. 26, No. 1, 275--298 (2019; Zbl 1514.47082) Full Text: arXiv Link
Pinelis, Iosif A necessary and sufficient condition on the stability of the infimum of convex functions. (English) Zbl 1410.26019 J. Convex Anal. 26, No. 1, 77-87 (2019). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 26A51 90C25 49J45 49K05 49K30 PDFBibTeX XMLCite \textit{I. Pinelis}, J. Convex Anal. 26, No. 1, 77--87 (2019; Zbl 1410.26019) Full Text: arXiv Link Backlinks: MO
Gatto, R. Saddlepoint approximation to the distribution of the total distance of the von Mises-Fisher continuous time random walk. (English) Zbl 1426.60051 Appl. Math. Comput. 324, 285-294 (2018). MSC: 60G50 41A60 PDFBibTeX XMLCite \textit{R. Gatto}, Appl. Math. Comput. 324, 285--294 (2018; Zbl 1426.60051) Full Text: DOI
Pinar, Mustafa Çelebi Worst-case large deviations upper bounds for i.i.d. sequences under ambiguity. (English) Zbl 1424.60027 Turk. J. Math. 42, No. 1, 257-271 (2018). MSC: 60F10 90C47 PDFBibTeX XMLCite \textit{M. Ç. Pinar}, Turk. J. Math. 42, No. 1, 257--271 (2018; Zbl 1424.60027) Full Text: DOI
Haque, Tasnuva; Lucet, Yves A linear-time algorithm to compute the conjugate of convex piecewise linear-quadratic bivariate functions. (English) Zbl 1419.90106 Comput. Optim. Appl. 70, No. 2, 593-613 (2018). MSC: 90C30 PDFBibTeX XMLCite \textit{T. Haque} and \textit{Y. Lucet}, Comput. Optim. Appl. 70, No. 2, 593--613 (2018; Zbl 1419.90106) Full Text: DOI Link
Randles, Evan; Saloff-Coste, Laurent Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform. (English) Zbl 1409.35061 Baudoin, Fabrice (ed.) et al., Stochastic analysis and related topics. A festschrift in honor of Rodrigo Bañuelos, Purdue University, West Lafayette, IN, USA, May 20–22, 2015. Cham: Birkhäuser. Prog. Probab. 72, 1-55 (2017). MSC: 35H30 35K25 PDFBibTeX XMLCite \textit{E. Randles} and \textit{L. Saloff-Coste}, Prog. Probab. 72, 1--55 (2017; Zbl 1409.35061) Full Text: DOI arXiv
Pinelis, Iosif (Quasi)additivity properties of the Legendre-Fenchel transform and its inverse, with applications in probability. (English) Zbl 1384.26034 J. Convex Anal. 24, No. 3, 889-901 (2017). Reviewer: George Stoica (Saint John) MSC: 26A48 26A51 60E15 PDFBibTeX XMLCite \textit{I. Pinelis}, J. Convex Anal. 24, No. 3, 889--901 (2017; Zbl 1384.26034) Full Text: arXiv Link
Feldman, Mikhail; Tudorascu, Adrian The semi-geostrophic system: weak-strong uniqueness under uniform convexity. (English) Zbl 1380.35002 Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 158, 22 p. (2017). MSC: 35A02 35Q86 PDFBibTeX XMLCite \textit{M. Feldman} and \textit{A. Tudorascu}, Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 158, 22 p. (2017; Zbl 1380.35002) Full Text: DOI
Randles, Evan; Saloff-Coste, Laurent Convolution powers of complex functions on \(\mathbb{Z}^d\). (English) Zbl 1377.42012 Rev. Mat. Iberoam. 33, No. 3, 1045-1121 (2017). MSC: 42A85 60F99 PDFBibTeX XMLCite \textit{E. Randles} and \textit{L. Saloff-Coste}, Rev. Mat. Iberoam. 33, No. 3, 1045--1121 (2017; Zbl 1377.42012) Full Text: DOI arXiv
Zajkowski, Krzysztof A variational formula on the Cramér function of series of independent random variables. (English) Zbl 1381.44016 Positivity 21, No. 1, 273-282 (2017). Reviewer: Ahmed I. Zayed (Chicago) MSC: 44A15 PDFBibTeX XMLCite \textit{K. Zajkowski}, Positivity 21, No. 1, 273--282 (2017; Zbl 1381.44016) Full Text: DOI arXiv
Allgaier, Luisa; Weisshaupt, Heinz Dimension-raising homomorphisms between lattices of convex bodies. (English) Zbl 1338.52004 Adv. Math. 289, 212-249 (2016). Reviewer: Matthias Beck (San Francisco) MSC: 52A20 52C07 PDFBibTeX XMLCite \textit{L. Allgaier} and \textit{H. Weisshaupt}, Adv. Math. 289, 212--249 (2016; Zbl 1338.52004) Full Text: DOI arXiv
Molchanov, Ilya Continued fractions built from convex sets and convex functions. (English) Zbl 1372.52012 Commun. Contemp. Math. 17, No. 5, Article ID 1550003, 18 p. (2015). MSC: 52A41 46B10 06F05 11J70 20M14 26B25 44A15 52A22 PDFBibTeX XMLCite \textit{I. Molchanov}, Commun. Contemp. Math. 17, No. 5, Article ID 1550003, 18 p. (2015; Zbl 1372.52012) Full Text: DOI arXiv
Zajkowski, Krzysztof Cramér transform of Rademacher series. (English) Zbl 1328.60080 Positivity 19, No. 3, 529-537 (2015). MSC: 60F10 PDFBibTeX XMLCite \textit{K. Zajkowski}, Positivity 19, No. 3, 529--537 (2015; Zbl 1328.60080) Full Text: DOI arXiv
Diem, Huynh Thi Hong; Khanh, Phan Quoc Criteria for epi/hypo convergence of finite-valued bifunctions. (English) Zbl 1320.49008 Vietnam J. Math. 43, No. 2, 439-458 (2015). MSC: 49J52 PDFBibTeX XMLCite \textit{H. T. H. Diem} and \textit{P. Q. Khanh}, Vietnam J. Math. 43, No. 2, 439--458 (2015; Zbl 1320.49008) Full Text: DOI
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C. Microscopic conductivity of lattice fermions at equilibrium. I: Non-interacting particles. (English) Zbl 1322.82015 J. Math. Phys. 56, No. 5, 051901, 51 p. (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82D25 78A35 78A25 46F10 42A38 44A15 PDFBibTeX XMLCite \textit{J. B. Bru} et al., J. Math. Phys. 56, No. 5, 051901, 51 p. (2015; Zbl 1322.82015) Full Text: DOI arXiv Link
Gatto, Riccardo A logarithmic efficient estimator of the probability of ruin with recuperation for spectrally negative Lévy risk processes. (English) Zbl 1314.91236 Stat. Probab. Lett. 99, 177-184 (2015). MSC: 91G60 91B30 65C05 60G51 PDFBibTeX XMLCite \textit{R. Gatto}, Stat. Probab. Lett. 99, 177--184 (2015; Zbl 1314.91236) Full Text: DOI Link
Contento, Lorenzo; Ern, Alexandre; Vermiglio, Rossana A linear-time approximate convex envelope algorithm using the double Legendre-Fenchel transform with application to phase separation. (English) Zbl 1320.90079 Comput. Optim. Appl. 60, No. 1, 231-261 (2015). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C30 PDFBibTeX XMLCite \textit{L. Contento} et al., Comput. Optim. Appl. 60, No. 1, 231--261 (2015; Zbl 1320.90079) Full Text: DOI
Gatto, Riccardo Importance sampling approximations to various probabilities of ruin of spectrally negative Lévy risk processes. (English) Zbl 1335.60123 Appl. Math. Comput. 243, 91-104 (2014). MSC: 60H30 60J75 65C40 PDFBibTeX XMLCite \textit{R. Gatto}, Appl. Math. Comput. 243, 91--104 (2014; Zbl 1335.60123) Full Text: DOI Link
Rogava, J.; Shashiashvili, K.; Shashiashvili, M. Computational convex analysis and its applications to numerical solution of some nonlinear partial differential equations. (English) Zbl 1336.65180 Appl. Math. Inform. Mech. 19, No. 2, 62-82 (2014). MSC: 65N06 35F21 35J96 35L65 35Q53 65M06 65N15 65M15 PDFBibTeX XMLCite \textit{J. Rogava} et al., Appl. Math. Inform. Mech. 19, No. 2, 62--82 (2014; Zbl 1336.65180)
Bardi, Martino; Dragoni, Federica Subdifferential and properties of convex functions with respect to vector fields. (English) Zbl 1304.49033 J. Convex Anal. 21, No. 3, 785-810 (2014). MSC: 49J52 PDFBibTeX XMLCite \textit{M. Bardi} and \textit{F. Dragoni}, J. Convex Anal. 21, No. 3, 785--810 (2014; Zbl 1304.49033) Full Text: Link
Ostaszewska, Urszula; Zajkowski, Krzysztof Cramér transform and \(t\)-entropy. (English) Zbl 1307.44006 Positivity 18, No. 2, 347-358 (2014). Reviewer: Mehmet Cenkci (Antalya) MSC: 44A15 47A10 47B37 60F99 PDFBibTeX XMLCite \textit{U. Ostaszewska} and \textit{K. Zajkowski}, Positivity 18, No. 2, 347--358 (2014; Zbl 1307.44006) Full Text: DOI arXiv
Gardiner, Bryan; Jakee, Khan; Lucet, Yves Computing the partial conjugate of convex piecewise linear-quadratic bivariate functions. (English) Zbl 1320.90059 Comput. Optim. Appl. 58, No. 1, 249-272 (2014). MSC: 90C25 PDFBibTeX XMLCite \textit{B. Gardiner} et al., Comput. Optim. Appl. 58, No. 1, 249--272 (2014; Zbl 1320.90059) Full Text: DOI
Gulisashvili, Archil; Laurence, Peter The Heston Riemannian distance function. (English) Zbl 1312.91097 J. Math. Pures Appl. (9) 101, No. 3, 303-329 (2014). Reviewer: Andreea Olteanu (Bucureşti) MSC: 91G80 53C25 53C17 91B70 91G20 PDFBibTeX XMLCite \textit{A. Gulisashvili} and \textit{P. Laurence}, J. Math. Pures Appl. (9) 101, No. 3, 303--329 (2014; Zbl 1312.91097) Full Text: DOI arXiv
Gardiner, Bryan; Lucet, Yves Computing the conjugate of convex piecewise linear-quadratic bivariate functions. (English) Zbl 1271.90057 Math. Program. 139, No. 1-2 (B), 161-184 (2013). MSC: 90C25 26A51 26B25 47H05 PDFBibTeX XMLCite \textit{B. Gardiner} and \textit{Y. Lucet}, Math. Program. 139, No. 1--2 (B), 161--184 (2013; Zbl 1271.90057) Full Text: DOI
Zajkowski, Krzysztof Convex conjugates of analytic functions of logarithmically convex functionals. (English) Zbl 1371.44004 J. Convex Anal. 20, No. 1, 243-252 (2013). MSC: 44A15 47B37 PDFBibTeX XMLCite \textit{K. Zajkowski}, J. Convex Anal. 20, No. 1, 243--252 (2013; Zbl 1371.44004) Full Text: arXiv Link
Blekherman, G.; Lasserre, J. B. The truncated K-moment problem for closure of open sets. (English) Zbl 1282.47016 J. Funct. Anal. 263, No. 11, 3604-3616 (2012); corrigendum ibid. 265, No. 2, 300-302 (2013). Reviewer: Vladimir A. Derkach (Donetsk) MSC: 47A57 44A60 PDFBibTeX XMLCite \textit{G. Blekherman} and \textit{J. B. Lasserre}, J. Funct. Anal. 263, No. 11, 3604--3616 (2012; Zbl 1282.47016) Full Text: DOI arXiv
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise A new duality approach to elasticity. (English) Zbl 1242.49072 Math. Models Methods Appl. Sci. 22, No. 1, 1150003, 21 p. (2012). MSC: 49N10 49N15 74B05 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., Math. Models Methods Appl. Sci. 22, No. 1, 1150003, 21 p. (2012; Zbl 1242.49072) Full Text: DOI
Graf, Tobias; Oliker, Vladimir I. An optimal mass transport approach to the near-field reflector problem in optical design. (English) Zbl 1241.78050 Inverse Probl. 28, No. 2, Article ID 025001, 15 p. (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M30 44A15 PDFBibTeX XMLCite \textit{T. Graf} and \textit{V. I. Oliker}, Inverse Probl. 28, No. 2, Article ID 025001, 15 p. (2012; Zbl 1241.78050) Full Text: DOI
Hamel, Andreas H.; Heyde, Frank; Rudloff, Birgit Set-valued risk measures for conical market models. (English) Zbl 1275.91077 Math. Financ. Econ. 5, No. 1, 1-28 (2011). MSC: 91B30 46N10 26E25 PDFBibTeX XMLCite \textit{A. H. Hamel} et al., Math. Financ. Econ. 5, No. 1, 1--28 (2011; Zbl 1275.91077) Full Text: DOI arXiv
Gardiner, Bryan; Lucet, Yves Graph-matrix calculus for computational convex analysis. (English) Zbl 1242.90163 Bauschke, Heinz H. (ed.) et al., Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1–6, 2009. New York, NY: Springer (ISBN 978-1-4419-9568-1/hbk; 978-1-4419-9569-8/ebook). Springer Optimization and Its Applications 49, 243-259 (2011). MSC: 90C25 26A51 26B25 47H05 52A41 PDFBibTeX XMLCite \textit{B. Gardiner} and \textit{Y. Lucet}, Springer Optim. Appl. 49, 243--259 (2011; Zbl 1242.90163) Full Text: DOI
Strömberg, Thomas Duality between Fréchet differentiability and strong convexity. (English) Zbl 1237.46030 Positivity 15, No. 3, 527-536 (2011). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46G05 46N10 49J50 PDFBibTeX XMLCite \textit{T. Strömberg}, Positivity 15, No. 3, 527--536 (2011; Zbl 1237.46030) Full Text: DOI
Lin, Minghua; Sinnamon, Gord A condition for convexity of a product of positive definite quadratic forms. (English) Zbl 1226.90069 SIAM J. Matrix Anal. Appl. 32, No. 2, 457-462 (2011). MSC: 90C25 65K05 65F15 15B48 PDFBibTeX XMLCite \textit{M. Lin} and \textit{G. Sinnamon}, SIAM J. Matrix Anal. Appl. 32, No. 2, 457--462 (2011; Zbl 1226.90069) Full Text: DOI arXiv
Ostaszewska, Urszula; Zajkowski, Krzysztof Legendre-Fenchel transform of the spectral exponent of analytic functions of weighted composition operators. (English) Zbl 1223.47027 J. Convex Anal. 18, No. 2, 367-377 (2011). Reviewer: K. C. Gupta (Jaipur) MSC: 47B33 47A10 47B37 44A15 PDFBibTeX XMLCite \textit{U. Ostaszewska} and \textit{K. Zajkowski}, J. Convex Anal. 18, No. 2, 367--377 (2011; Zbl 1223.47027) Full Text: arXiv Link
Zhao, Yun-Bin Convexity conditions and the Legendre-fenchel transform for the product of finitely many positive definite quadratic forms. (English) Zbl 1250.90068 Appl. Math. Optim. 62, No. 3, 411-434 (2010). Reviewer: Jean-Jacques Strodiot (Namur) MSC: 90C25 PDFBibTeX XMLCite \textit{Y.-B. Zhao}, Appl. Math. Optim. 62, No. 3, 411--434 (2010; Zbl 1250.90068) Full Text: DOI Link
Ostaszewska, Urszula; Zajkowski, Krzysztof Legendre-Fenchel transform of the spectral exponent of polynomials of weighted composition operators. (English) Zbl 1236.47020 Positivity 14, No. 3, 373-381 (2010). MSC: 47B33 47A10 47B37 44A15 46E30 PDFBibTeX XMLCite \textit{U. Ostaszewska} and \textit{K. Zajkowski}, Positivity 14, No. 3, 373--381 (2010; Zbl 1236.47020) Full Text: DOI
Lucet, Yves What shape is your conjugate? A survey of computational convex analysis and its applications. (English) Zbl 1197.65072 SIAM Rev. 52, No. 3, 505-542 (2010). MSC: 65K10 65-02 49M30 94A08 49L25 35F21 65T50 28A80 65D19 70E60 92C55 94C05 65D99 90-02 PDFBibTeX XMLCite \textit{Y. Lucet}, SIAM Rev. 52, No. 3, 505--542 (2010; Zbl 1197.65072) Full Text: DOI
Wright, Stephen E. Invertibility of order-reversing transforms on convex functions. (English) Zbl 1198.46053 J. Convex Anal. 17, No. 1, 103-110 (2010). Reviewer: Constantin Zălinescu (Iaşi) MSC: 46N10 52A41 PDFBibTeX XMLCite \textit{S. E. Wright}, J. Convex Anal. 17, No. 1, 103--110 (2010; Zbl 1198.46053) Full Text: Link
Hamel, Andreas H.; Heyde, Frank Duality for set-valued measures of risk. (English) Zbl 1197.91112 SIAM J. Financ. Math. 1, 66-95 (2010). Reviewer: Emilia Di Lorenzo (Napoli) MSC: 91B30 46A20 46N10 26E25 PDFBibTeX XMLCite \textit{A. H. Hamel} and \textit{F. Heyde}, SIAM J. Financ. Math. 1, 66--95 (2010; Zbl 1197.91112) Full Text: DOI
Ostaszewska, Urszula; Zajkowski, Krzysztof Variational principle for the spectral exponent of polynomials of weighted composition operators. (English) Zbl 1175.49005 J. Math. Anal. Appl. 361, No. 1, 246-251 (2010). MSC: 49J27 47B33 47B37 PDFBibTeX XMLCite \textit{U. Ostaszewska} and \textit{K. Zajkowski}, J. Math. Anal. Appl. 361, No. 1, 246--251 (2010; Zbl 1175.49005) Full Text: DOI
Lucet, Yves What shape is your conjugate? A survey of computational convex analysis and its applications. (English) Zbl 1186.65081 SIAM J. Optim. 20, No. 1, 216-250 (2009). MSC: 65K10 65D99 90-02 65-02 49J27 49-02 49N10 PDFBibTeX XMLCite \textit{Y. Lucet}, SIAM J. Optim. 20, No. 1, 216--250 (2009; Zbl 1186.65081) Full Text: DOI Link
Strömberg, Thomas A note on the differentiability of conjugate functions. (English) Zbl 1184.26007 Arch. Math. 93, No. 5, 481-485 (2009). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 26B25 49J52 PDFBibTeX XMLCite \textit{T. Strömberg}, Arch. Math. 93, No. 5, 481--485 (2009; Zbl 1184.26007) Full Text: DOI
Lucet, Yves; Bauschke, Heinz H.; Trienis, Mike The piecewise linear-quadratic model for computational convex analysis. (English) Zbl 1186.90089 Comput. Optim. Appl. 43, No. 1, 95-118 (2009). Reviewer: Ya-Ping Fang (Chengdu) MSC: 90C25 65D15 68Q25 PDFBibTeX XMLCite \textit{Y. Lucet} et al., Comput. Optim. Appl. 43, No. 1, 95--118 (2009; Zbl 1186.90089) Full Text: DOI Link
Michta, Mariusz; Motyl, Jerzy Locally Lipschitz selections in Banach lattices. (English) Zbl 1163.49017 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 2335-2342 (2009). MSC: 49J53 60H20 93E03 49J55 PDFBibTeX XMLCite \textit{M. Michta} and \textit{J. Motyl}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 2335--2342 (2009; Zbl 1163.49017) Full Text: DOI
Borwein, Jonathan M.; Hamilton, Chris H. Symbolic Fenchel conjugation. (English) Zbl 1158.90007 Math. Program. 116, No. 1-2 (B), 17-35 (2009). MSC: 90C46 44A15 90C25 65K99 68W30 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{C. H. Hamilton}, Math. Program. 116, No. 1--2 (B), 17--35 (2009; Zbl 1158.90007) Full Text: DOI
Vallee, Claude; Fortune, Danielle; Lerintiu, Camelia Subdifferential of the largest eigenvalue of a symmetrical matrix application of direct projection methods. (English) Zbl 1148.65027 Anal. Appl., Singap. 6, No. 1, 99-112 (2008). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{C. Vallee} et al., Anal. Appl., Singap. 6, No. 1, 99--112 (2008; Zbl 1148.65027) Full Text: DOI
Nagaev, A. V. Asymptotic properties of multidimensional stable densities and asymmetric problems of large deviations. (English. Russian original) Zbl 1132.60014 Theory Probab. Appl. 51, No. 4, 626-644 (2007); translation from Teor. Veroyatn. Primen. 51, No. 4, 691-711 (2006). MSC: 60E07 60F10 PDFBibTeX XMLCite \textit{A. V. Nagaev}, Theory Probab. Appl. 51, No. 4, 626--644 (2007; Zbl 1132.60014); translation from Teor. Veroyatn. Primen. 51, No. 4, 691--711 (2006) Full Text: DOI
Polak, Paz; Wolansky, Gershon The lazy travelling salesman problem in \(\mathbb{R} ^2\). (English) Zbl 1153.90014 ESAIM, Control Optim. Calc. Var. 13, No. 3, 538-552 (2007). MSC: 90C27 90C46 90C31 PDFBibTeX XMLCite \textit{P. Polak} and \textit{G. Wolansky}, ESAIM, Control Optim. Calc. Var. 13, No. 3, 538--552 (2007; Zbl 1153.90014) Full Text: DOI Numdam EuDML
Hiriart-Urruty, Jean-Baptiste Potpourri of conjectures and open questions in nonlinear analysis and optimization. (English) Zbl 1120.15025 SIAM Rev. 49, No. 2, 255-273 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 15A21 26B25 35D05 49J30 52B11 65K05 90C20 PDFBibTeX XMLCite \textit{J.-B. Hiriart-Urruty}, SIAM Rev. 49, No. 2, 255--273 (2007; Zbl 1120.15025) Full Text: DOI Link
Borwein, Jonathan M.; Hamilton, Chris H. Symbolic computation of multidimensional Fenchel conjugates. (English) Zbl 1356.68270 Dumas, Jean-Guillaume (ed.), Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9–12, 2006. New York, NY: ACM Press (ISBN 1-59593-276-3). 23-30 (2006). MSC: 68W30 65K05 90C25 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{C. H. Hamilton}, in: Proceedings of the 2006 international symposium on symbolic and algebraic computation, ISSAC 06, Genova, Italy, July 9--12, 2006. New York, NY: ACM Press. 23--30 (2006; Zbl 1356.68270) Full Text: DOI Link
Lucet, Yves Fast Moreau envelope computation I: Numerical algorithms. (English) Zbl 1116.65027 Numer. Algorithms 43, No. 3, 235-249 (2006). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 52B55 65Y20 PDFBibTeX XMLCite \textit{Y. Lucet}, Numer. Algorithms 43, No. 3, 235--249 (2006; Zbl 1116.65027) Full Text: DOI
Michta, Mariusz; Motyl, Jerzy Convex selections of multifunctions and their applications. (English) Zbl 1103.47041 Optimization 55, No. 1-2, 91-99 (2006). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 47H04 49J53 60H05 47N20 47N30 PDFBibTeX XMLCite \textit{M. Michta} and \textit{J. Motyl}, Optimization 55, No. 1--2, 91--99 (2006; Zbl 1103.47041) Full Text: DOI
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili Set coverings and invertibility of functional Galois connections. (English) Zbl 1080.06001 Litvinov, G. L. (ed.) et al., Idempotent mathematics and mathematical physics. Proceedings of the international workshop, Vienna, Austria, February 3–10, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3538-6/pbk). Contemporary Mathematics 377, 19-51 (2005). MSC: 06A15 49N15 49J52 44A15 46N10 90C25 PDFBibTeX XMLCite \textit{M. Akian} et al., Contemp. Math. 377, 19--51 (2005; Zbl 1080.06001) Full Text: arXiv
Capuzzo Dolcetta, Italo The Hopf solution of Hamilton-Jacobi equations. (English) Zbl 1033.35021 Bemelmans, Josef (ed.) et al., Elliptic and parabolic problems. Proceedings of the 4th European conference, Rolduc, Netherlands, June 18–22, 2001 and Gaeta, Italy, September 24–28, 2001. Singapore: World Scientific (ISBN 981-238-045-0/hbk). 343-351 (2002). MSC: 35F20 PDFBibTeX XMLCite \textit{I. Capuzzo Dolcetta}, in: Elliptic and parabolic problems. Proceedings of the 4th European conference, Rolduc, Netherlands, June 18--22, 2001 and Gaeta, Italy, September 24--28, 2001. Singapore: World Scientific. 343--351 (2002; Zbl 1033.35021)
Volle, M. Duality principles for optimization problems dealing with the difference of vector-valued convex mappings. (English) Zbl 1041.90068 J. Optimization Theory Appl. 114, No. 1, 223-241 (2002). Reviewer: I. M. Stancu-Minasian (Bucureşti) MSC: 90C46 49J52 49N15 PDFBibTeX XMLCite \textit{M. Volle}, J. Optim. Theory Appl. 114, No. 1, 223--241 (2002; Zbl 1041.90068) Full Text: DOI
Spena, F. Russo; Vacca, A. A minimax formulation of nonlinear seepage flow problem. (English) Zbl 0999.76129 J. Inf. Optim. Sci. 22, No. 3, 401-417 (2001). MSC: 76S05 76M30 PDFBibTeX XMLCite \textit{F. R. Spena} and \textit{A. Vacca}, J. Inf. Optim. Sci. 22, No. 3, 401--417 (2001; Zbl 0999.76129) Full Text: DOI
Rockafellar, R. T. Convex analysis in the calculus of variations. (English) Zbl 1011.49013 Hadjisavvas, Nicolas (ed.) et al., Advances in convex analysis and global optimization. Honoring the memory of C. Caratheodory (1873-1950). Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 54, 135-151 (2001). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 26B25 49J10 49K10 PDFBibTeX XMLCite \textit{R. T. Rockafellar}, Nonconvex Optim. Appl. 54, 135--151 (2001; Zbl 1011.49013)
Winkler, Søren The non-commutative Legendre-Fenchel transform. (English) Zbl 0962.46053 Math. Scand. 85, No. 1, 30-48 (1999). Reviewer: Isamu Dôku (Urawa) MSC: 46L89 47L07 PDFBibTeX XMLCite \textit{S. Winkler}, Math. Scand. 85, No. 1, 30--48 (1999; Zbl 0962.46053) Full Text: DOI
Ladevèze, Pierre Nonlinear computational structural mechanics. New approaches and non-incremental methods of calculation. Transl. from the French by James G. Simmonds. (English) Zbl 0912.73003 Mechanical Engineering Series. New York, NY: Springer. xii, 220 p. (1999). MSC: 74-02 74Kxx 74S30 PDFBibTeX XMLCite \textit{P. Ladevèze}, Nonlinear computational structural mechanics. New approaches and non-incremental methods of calculation. Transl. from the French by James G. Simmonds. New York, NY: Springer (1999; Zbl 0912.73003)
Lucet, Yves Faster than the fast Legendre transform, the linear-time Legendre transform. (English) Zbl 0909.65037 Numer. Algorithms 16, No. 2, 171-185 (1997). Reviewer: S.Zlobec (Montreal) MSC: 65K05 90C30 52B55 65Y15 90C25 PDFBibTeX XMLCite \textit{Y. Lucet}, Numer. Algorithms 16, No. 2, 171--185 (1997; Zbl 0909.65037) Full Text: DOI
Aubert, Gilles; Vese, Luminita A variational method in image recovery. (English) Zbl 0890.35033 SIAM J. Numer. Anal. 34, No. 5, 1948-1979 (1997). Reviewer: Yang Yingchen (Beijing) MSC: 35J20 68U10 PDFBibTeX XMLCite \textit{G. Aubert} and \textit{L. Vese}, SIAM J. Numer. Anal. 34, No. 5, 1948--1979 (1997; Zbl 0890.35033) Full Text: DOI
Bojarski, Jarosław L. The relaxation of Signorini problems in Hencky plasticity. I: Three-dimensional solid. (English) Zbl 0894.73034 Nonlinear Anal., Theory Methods Appl. 29, No. 10, 1091-1116 (1997). Reviewer: N.Cristescu (Gainesville) MSC: 74C99 PDFBibTeX XMLCite \textit{J. L. Bojarski}, Nonlinear Anal., Theory Methods Appl. 29, No. 10, 1091--1116 (1997; Zbl 0894.73034) Full Text: DOI
Gondran, Michel MINMAX analysis. (Analyse MINMAX.) (French) Zbl 0877.49012 C. R. Acad. Sci., Paris, Sér. I 323, No. 12, 1249-1252 (1996). MSC: 49J45 46N10 49J52 PDFBibTeX XMLCite \textit{M. Gondran}, C. R. Acad. Sci., Paris, Sér. I 323, No. 12, 1249--1252 (1996; Zbl 0877.49012)
Corrias, Lucilla Fast Legendre-Fenchel transform and applications to Hamilton-Jacobi equations and conservation laws. (English) Zbl 0856.49023 SIAM J. Numer. Anal. 33, No. 4, 1534-1558 (1996). Reviewer: L.Zaremba (Warszawa) MSC: 49L25 35L65 PDFBibTeX XMLCite \textit{L. Corrias}, SIAM J. Numer. Anal. 33, No. 4, 1534--1558 (1996; Zbl 0856.49023) Full Text: DOI
Lucet, Y. A fast computational algorithm for the Legendre-Fenchel transform. (English) Zbl 0852.90117 Comput. Optim. Appl. 6, No. 1, 27-57 (1996). MSC: 90C30 49J52 90C60 PDFBibTeX XMLCite \textit{Y. Lucet}, Comput. Optim. Appl. 6, No. 1, 27--57 (1996; Zbl 0852.90117) Full Text: DOI
Ladevèze, Pierre Nonlinear mechanics of structures. New approach and methods of non-incremental computation. (Mécanique non linéaire des structures. Nouvelle approche et méthodes de calcul non incrémentales.) (French) Zbl 0855.73003 Paris: Hermes. 304 p. (1996). Reviewer: R.Valid (Paris) MSC: 74-02 74Kxx 74S30 PDFBibTeX XMLCite \textit{P. Ladevèze}, Mécanique non linéaire des structures. Nouvelle approche et méthodes de calcul non incrémentales. Paris: Hermes (1996; Zbl 0855.73003)
Azé, D.; Rahmouni, A. Intrinsic bounds for Kuhn-Tucker points of perturbed convex programs. (English) Zbl 0845.90096 Durier, Roland (ed.) et al., Recent developments in optimization. 7th French-German conference on optimization, Dijon, France, June 27-July 2, 1994. Berlin: Springer-Verlag. Lect. Notes Econ. Math. Syst. 429, 17-35 (1995). MSC: 90C25 90C48 PDFBibTeX XMLCite \textit{D. Azé} and \textit{A. Rahmouni}, Lect. Notes Econ. Math. Syst. 429, 17--35 (1995; Zbl 0845.90096)
Lahrache, Jaafar The bounded proximal topology and its dual. (Topologie proximale bornée et sa duale.) (French) Zbl 0837.46057 C. R. Acad. Sci., Paris, Sér. I 321, No. 2, 191-194 (1995). MSC: 46N10 46A55 46B10 PDFBibTeX XMLCite \textit{J. Lahrache}, C. R. Acad. Sci., Paris, Sér. I 321, No. 2, 191--194 (1995; Zbl 0837.46057)
Azé, D.; Rahmouni, A. Lipschitz behaviour of the Legendre-Fenchel transform. (English) Zbl 0824.90108 Set-Valued Anal. 2, No. 1-2, 35-48 (1994). Reviewer: K.Zimmermann (Praha) MSC: 90C25 26B25 49J52 PDFBibTeX XMLCite \textit{D. Azé} and \textit{A. Rahmouni}, Set-Valued Anal. 2, No. 1--2, 35--48 (1994; Zbl 0824.90108) Full Text: DOI
Homblé, Patrick Sample and moment Lyapunov exponents of discrete linear dynamical systems. (English) Zbl 0803.60054 Stochastic Anal. Appl. 12, No. 3, 329-354 (1994). Reviewer: W.Kliemann (Ames) MSC: 60H25 60F10 PDFBibTeX XMLCite \textit{P. Homblé}, Stochastic Anal. Appl. 12, No. 3, 329--354 (1994; Zbl 0803.60054) Full Text: DOI
Azé, Dominique; Penot, Jean-Paul The Joly topology and the Mosco-Beer topology revisited. (English) Zbl 0822.46084 Bull. Aust. Math. Soc. 48, No. 3, 353-363 (1993). MSC: 46N10 46A55 26B25 54B20 54A10 52A05 PDFBibTeX XMLCite \textit{D. Azé} and \textit{J.-P. Penot}, Bull. Aust. Math. Soc. 48, No. 3, 353--363 (1993; Zbl 0822.46084) Full Text: DOI
Seeger, A. Limiting behavior of the approximate second-order subdifferential of a convex function. (English) Zbl 0792.49015 J. Optimization Theory Appl. 74, No. 3, 527-544 (1992). MSC: 49J52 PDFBibTeX XMLCite \textit{A. Seeger}, J. Optim. Theory Appl. 74, No. 3, 527--544 (1992; Zbl 0792.49015) Full Text: DOI
Liptser, Robert Sh.; Pukhalskii, Anatolii A. Limit theorems on large deviations for semimartingales. (English) Zbl 0749.60027 Stochastics Stochastics Rep. 38, No. 4, 201-249 (1992). Reviewer: E.Pancheva (Sofia) MSC: 60F10 60G48 PDFBibTeX XMLCite \textit{R. Sh. Liptser} and \textit{A. A. Pukhalskii}, Stochastics Stochastics Rep. 38, No. 4, 201--249 (1992; Zbl 0749.60027) Full Text: DOI arXiv
Chi Ngoc Do Generalized second-order derivatives of convex functions in reflexive Banach spaces. (English) Zbl 0767.49008 Trans. Am. Math. Soc. 334, No. 1, 281-301 (1992). Reviewer: P.Loewen (Vancouver) MSC: 49J50 58C20 49J52 49J45 PDFBibTeX XMLCite \textit{Chi Ngoc Do}, Trans. Am. Math. Soc. 334, No. 1, 281--301 (1992; Zbl 0767.49008) Full Text: DOI
Aze, D.; Penot, J.-P. Qualitative results about the convergence of convex sets and convex functions. (English) Zbl 0767.54001 Optimization and nonlinear analysis, Proc. Binatl. Workshop, Haifa/Israel 1990, Pitman Res. Notes Math. Ser. 244, 1-24 (1992). Reviewer: L.Holá (Bratislava) MSC: 54A20 52A05 54B20 PDFBibTeX XMLCite \textit{D. Aze} and \textit{J. P. Penot}, Pitman Res. Notes Math. Ser. 244, 1--24 (1992; Zbl 0767.54001)
Attouch, H.; Azé, D.; Beer, G. On some inverse stability problems for the epigraphical sum. (English) Zbl 0743.49005 Nonlinear Anal., Theory Methods Appl. 16, No. 3, 241-254 (1991). Reviewer: A.L.Dontchev (Ann Arbor) MSC: 49J52 PDFBibTeX XMLCite \textit{H. Attouch} et al., Nonlinear Anal., Theory Methods Appl. 16, No. 3, 241--254 (1991; Zbl 0743.49005) Full Text: DOI
Soueycatt, M. \(\rho\)-Hausdorff epiderivative of convex functions. \(\rho\)-Hausdorff epi/hypoderivative of convex-concave functions. (\(\rho\)-Hausdorff-épi-derivée de fonctions convexes. \(\rho\)-Hausdorff-épi/hypo-derivée de fonctions convexes-concaves.) (French) Zbl 0893.49014 Sémin. Anal. Convexe, Univ. Sci. Tech. Languedoc 21, Expo. No. 17, 50 p. (1991). MSC: 49J52 49J45 26A24 PDFBibTeX XMLCite \textit{M. Soueycatt}, Sémin. Anal. Convexe, Univ. Sci. Tech. Languedoc 21, 50 p. (1991; Zbl 0893.49014)
Rodrigues, B. The Fenchel duality theorem in Fréchet spaces. (English) Zbl 0714.49040 Optimization 21, No. 1, 13-22 (1990). MSC: 49N15 49K27 90C25 PDFBibTeX XMLCite \textit{B. Rodrigues}, Optimization 21, No. 1, 13--22 (1990; Zbl 0714.49040) Full Text: DOI
Attouch, Hedy; Wets, Roger J.-B. Epigraphical processes: Laws of large numbers for random LSC functions. (English) Zbl 0744.60021 Sémin. Anal. Convexe, Univ. Sci. Tech. Languedoc 20, Exp. No. 13, 29 p. (1990). Reviewer: K.Wickwire (Bedford) MSC: 60F05 60D05 PDFBibTeX XMLCite \textit{H. Attouch} and \textit{R. J. B. Wets}, Sémin. Anal. Convexe, Univ. Sci. Tech. Languedoc 20, 29 p. (1990; Zbl 0744.60021)
Attouch, H.; Azé, D.; Beer, B. On some inverse stability problems for the epigraphical sum. (English) Zbl 0728.49005 Sémin. Anal. Convexe, Univ. Sci. Tech. Languedoc 19, Exp. No. 6, 27 p. (1989). MSC: 49J52 26B25 54B20 35R30 PDFBibTeX XMLCite \textit{H. Attouch} et al., Sémin. Anal. Convexe, Univ. Sci. Tech. Languedoc 19, 27 p. (1989; Zbl 0728.49005)
Sadowsky, John S. Robust large deviations performance analysis for large sample detectors. (English) Zbl 0684.62027 IEEE Trans. Inf. Theory 35, No. 4, 917-920 (1989). MSC: 62F12 62F99 60F10 PDFBibTeX XMLCite \textit{J. S. Sadowsky}, IEEE Trans. Inf. Theory 35, No. 4, 917--920 (1989; Zbl 0684.62027) Full Text: DOI
Brenier, Yann Un algorithme rapide pour le calcul de transformées de Legendre-Fenchel discrètes. (A fast algorithm for the computation of the discrete Legendre-Fenchel transform). (French) Zbl 0667.65006 C. R. Acad. Sci., Paris, Sér. I 308, No. 20, 587-589 (1989). MSC: 65D15 PDFBibTeX XMLCite \textit{Y. Brenier}, C. R. Acad. Sci., Paris, Sér. I 308, No. 20, 587--589 (1989; Zbl 0667.65006)
Attouch, Hedy; Wets, Roger J.-B. Another isometry for the Legendre-Fenchel transform. (English) Zbl 0644.49010 J. Math. Anal. Appl. 131, No. 2, 404-411 (1988). Reviewer: G.Buttazzo MSC: 49J45 46B99 54A20 26E15 90C25 PDFBibTeX XMLCite \textit{H. Attouch} and \textit{R. J. B. Wets}, J. Math. Anal. Appl. 131, No. 2, 404--411 (1988; Zbl 0644.49010) Full Text: DOI
Aze, D. Rate of convergence for the saddle points of convex-concave functions. (English) Zbl 0632.49011 Trends in mathematical optimization, 4th French-German Conf., Irsee/FRG 1986, ISNM 84, 9-23 (1988). Reviewer: D.Aze MSC: 49N15 49K35 65K05 49J45 90C25 PDFBibTeX XML
Attouch, Hedy; Wets, Roger J. B. Isometries for the Legendre-Fenchel transform. (English) Zbl 0607.49009 Trans. Am. Math. Soc. 296, 33-60 (1986). Reviewer: T.Zolezzi MSC: 49J45 49N15 58E30 47H05 49J40 52A05 90C31 54A10 PDFBibTeX XMLCite \textit{H. Attouch} and \textit{R. J. B. Wets}, Trans. Am. Math. Soc. 296, 33--60 (1986; Zbl 0607.49009) Full Text: DOI
Attouch, Hedy; Wets, Roger J.-B. A convergence for bivariate functions aimed at the convergence of saddle values. (English) Zbl 0516.49009 Mathematical theories of optimization, Proc. Conf., Genova 1981, Lect. Notes Math. 979, 1-42 (1983). MSC: 49J45 26B35 54A20 49M37 46A04 54D45 PDFBibTeX XML