Crouzeix, Jean-Pierre Generalized convexity and generalized monotonicity. (English) Zbl 1253.90186 Monografías del Instituto de Matemática y Ciencias Afines 17. Lima: Instituto de Matemática y Ciencias Afines, IMCA; Lima: Pontificia Universidad Católica del Perú (ISBN 9972-753-64-6). ii, 48 p. (2000). MSC: 90C26 26B25 47H05 47N10 49J53 PDFBibTeX XMLCite \textit{J.-P. Crouzeix}, Generalized convexity and generalized monotonicity. Lima: Instituto de Matemática y Ciencias Afines, IMCA; Lima: Pontificia Universidad Católica del Perú (2000; Zbl 1253.90186)
Bhatia, Davinder; Sharma, Arpana Minmax programming problems with \(L_ p\)-norms via nonsmooth \(V\)-invexity. (English) Zbl 1141.90575 Opsearch 37, No. 2, 144-153 (2000). MSC: 90C47 26B25 90C29 90C46 PDFBibTeX XMLCite \textit{D. Bhatia} and \textit{A. Sharma}, Opsearch 37, No. 2, 144--153 (2000; Zbl 1141.90575) Full Text: DOI
Babilonová, Marta On stationary and determining sets for \(J\)-convex functions. (English) Zbl 1105.26304 Real Anal. Exch., Suppl., Summer Symp. 2000, 29-34 (2000). MSC: 26B25 PDFBibTeX XMLCite \textit{M. Babilonová}, Real Anal. Exch., 29--34 (2000; Zbl 1105.26304)
Sadygov, M. A. On the second-order subdifferential of convex functions. (English) Zbl 1243.49017 Trans. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 20, No. 1, Math. Mech., 115-127 (2000). MSC: 49J52 26B25 PDFBibTeX XMLCite \textit{M. A. Sadygov}, Trans. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 20, No. 1, Math. Mech., 115--127 (2000; Zbl 1243.49017)
Ionac, Doina Some properties of the starlike sets and their relation to the mathematical programming by disjunctive constraints. (English) Zbl 1103.90387 An. Univ. Oradea, Fasc. Mat. 7, 90-94 (1999-2000). MSC: 90C26 26B25 PDFBibTeX XMLCite \textit{D. Ionac}, An. Univ. Oradea, Fasc. Mat. 7, 90--94 (2000; Zbl 1103.90387)
Korobkov, M. V.; Egorov, A. A. Stability of classes of Lipschitz mappings, the Darboux theorem, and quasiconvex sets. (English. Russian original) Zbl 1064.26501 Dokl. Math. 62, No. 1, 84-88 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 373, No. 5, 583-587 (2000). MSC: 26B35 26B25 30C65 46T20 49J10 PDFBibTeX XMLCite \textit{M. V. Korobkov} and \textit{A. A. Egorov}, Dokl. Math. 62, No. 1, 583--587 (2000; Zbl 1064.26501); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 373, No. 5, 583--587 (2000)
Lai, H. C. Complex fractional programming involving \((\mathcal L,\rho,\theta)\)-convex analytic functions. (English) Zbl 1163.90760 Begehr, Heinrich G.W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 1447-1457 (2000). MSC: 90C32 32F10 90C26 90C29 26B25 PDFBibTeX XMLCite \textit{H. C. Lai}, Int. Soc. Anal. Appl. Comput. 8, 1447--1457 (2000; Zbl 1163.90760)
Hansen, Frank Operator inequalities associated with Jensen’s inequalities. (English) Zbl 1040.47012 Rassias, Themistocles M. (ed.), Survey on classical inequalities. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6483-X/hbk). Math. Appl., Dordr. 517, 67-98 (2000). Reviewer: Takeaki Yamazaki (Yokohama) MSC: 47A63 26A51 26D15 47-02 26B25 PDFBibTeX XMLCite \textit{F. Hansen}, Math. Appl., Dordr. 517, 67--98 (2000; Zbl 1040.47012)
Albano, Paolo Singularities of semiconcave functions and applications to optimal control (Abstract of thesis). (Italian) Zbl 1053.26508 Boll. Unione Mat. Ital., Sez. A, Mat. Soc. Cult. (8) 3 Suppl., 13-16 (2000). MSC: 26B25 49J27 PDFBibTeX XMLCite \textit{P. Albano}, Boll. Unione Mat. Ital., Sez. A, Mat. Soc. Cult. (8) 3, 13--16 (2000; Zbl 1053.26508)
Cannarsa, Piermarco; Pignotti, Cristina Semiconcavity of the value function for an exit time problem with degenerate cost. (English) Zbl 1008.49021 Matematiche 55, Suppl. 2, 71-108 (2000). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49L20 49L25 49K15 49K30 26B25 PDFBibTeX XMLCite \textit{P. Cannarsa} and \textit{C. Pignotti}, Matematiche 55, 71--108 (2000; Zbl 1008.49021)
Nikodem, Kazimierz Mazur’s criterion for continuity of convex set-valued maps. (English) Zbl 1160.26310 Rocz. Nauk.-Dydakt., Pr. Mat. 17, 191-195 (2000). MSC: 26B25 39B22 54C60 PDFBibTeX XMLCite \textit{K. Nikodem}, Rocz. Nauk.-Dydakt., Pr. Mat. 17, 191--195 (2000; Zbl 1160.26310)
Nikodem, Kazimierz; Páles, Zsolt; Wąsowicz, Szymon Multifunctions with selections of convex and concave type. (English) Zbl 0973.26011 Math. Pannonica 11, No. 2, 249-260 (2000). Reviewer: Zoltán Boros (Debrecen) MSC: 26B25 26E25 54C65 PDFBibTeX XMLCite \textit{K. Nikodem} et al., Math. Pannonica 11, No. 2, 249--260 (2000; Zbl 0973.26011) Full Text: EuDML
Jüttler, B. Arbitrarily weak linear convexity conditions for multivariate polynomials. (English) Zbl 0974.41022 Stud. Sci. Math. Hung. 36, No. 1-2, 165-183 (2000). MSC: 41A63 41A10 26B25 65D17 PDFBibTeX XMLCite \textit{B. Jüttler}, Stud. Sci. Math. Hung. 36, No. 1--2, 165--183 (2000; Zbl 0974.41022) Full Text: DOI
Penot, Jean-Paul; Zălinescu, Constantin Elements of quasiconvex subdifferential calculus. (English) Zbl 0989.49019 J. Convex Anal. 7, No. 2, 243-269 (2000). MSC: 49J52 26B25 26A51 26A27 90C26 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{C. Zălinescu}, J. Convex Anal. 7, No. 2, 243--269 (2000; Zbl 0989.49019) Full Text: EuDML
Pečarić, J.; Raşa, I. On an index set function. (English) Zbl 0978.26007 Southeast Asian Bull. Math. 24, No. 3, 431-434 (2000). Reviewer: Peter S.Bullen (Vancouver) MSC: 26D15 26B25 PDFBibTeX XMLCite \textit{J. Pečarić} and \textit{I. Raşa}, Southeast Asian Bull. Math. 24, No. 3, 431--434 (2000; Zbl 0978.26007) Full Text: DOI
Hansen, Frank Operator inequalities associated with Jensen’s inequality. (English) Zbl 0966.47006 Copenhagen: Univ. Copenhagen, Institute of Economics, v, 43 p. (2000). MSC: 47A63 26D15 26A51 26B25 PDFBibTeX XMLCite \textit{F. Hansen}, Operator inequalities associated with Jensen's inequality. Copenhagen: Univ. Copenhagen, Institute of Economics (2000; Zbl 0966.47006)
Crouzeix, J.-P.; Hassouni, A.; Lahlou, A.; Schaible, S. Positive subdefinite matrices, generalized monotonicity, and linear complementarity problems. (English) Zbl 0985.26008 SIAM J. Matrix Anal. Appl. 22, No. 1, 66-85 (2000). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 26B25 15B57 90C33 90C26 15B48 47H05 PDFBibTeX XMLCite \textit{J. P. Crouzeix} et al., SIAM J. Matrix Anal. Appl. 22, No. 1, 66--85 (2000; Zbl 0985.26008) Full Text: DOI
Duzaar, Frank; Gastel, Andreas; Grotowski, Joseph F. Partial regularity for almost minimizers of quasi-convex integrals. (English) Zbl 0989.49026 SIAM J. Math. Anal. 32, No. 3, 665-687 (2000). MSC: 49N60 26B25 PDFBibTeX XMLCite \textit{F. Duzaar} et al., SIAM J. Math. Anal. 32, No. 3, 665--687 (2000; Zbl 0989.49026) Full Text: DOI
Cardaliaguet, Pierre; Tahraoui, Rabah On the equivalence between rank-one convexity and polyconvexity for isotropic sets of \(\mathbb{R}^{2\times 2}\). (Sur l’équivalence de la 1-rang convexité et de la polyconvexité des ensembles isotropiques de \(\mathbb{R}^{2\times 2}\).) (French. Abridged English version) Zbl 1064.26005 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 11, 851-856 (2000). MSC: 26B25 49J10 74B20 52A20 PDFBibTeX XMLCite \textit{P. Cardaliaguet} and \textit{R. Tahraoui}, C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 11, 851--856 (2000; Zbl 1064.26005) Full Text: DOI
Ku, Hsu-Tung; Ku, Mei-Chin Analytic isoperimetric inequalities. (English) Zbl 0970.26018 Math. Inequal. Appl. 3, No. 4, 459-472 (2000). Reviewer: Mervan Pašić (Zagreb) MSC: 26D20 51M16 52A40 26B25 51M25 PDFBibTeX XMLCite \textit{H.-T. Ku} and \textit{M.-C. Ku}, Math. Inequal. Appl. 3, No. 4, 459--472 (2000; Zbl 0970.26018) Full Text: DOI
John, Reinhard A first order characterization of generalized monotonicity. (English) Zbl 0972.26009 Math. Program. 88, No. 1 (A), 147-155 (2000). MSC: 26B25 90C26 91B50 90C29 PDFBibTeX XMLCite \textit{R. John}, Math. Program. 88, No. 1 (A), 147--155 (2000; Zbl 0972.26009) Full Text: DOI
Netuka, Ivan Separation properties involving harmonic functions. (English) Zbl 0960.31001 Expo. Math. 18, No. 4, 333-337 (2000). Reviewer: Vasile Ionescu (Bucureşti) MSC: 31B05 46A22 26B25 PDFBibTeX XMLCite \textit{I. Netuka}, Expo. Math. 18, No. 4, 333--337 (2000; Zbl 0960.31001)
Brown, A. L.; Vasudeva, H. L. The calculus of operator functions and operator convexity. (English) Zbl 0969.47009 Diss. Math. 390, 48 p. (2000). Reviewer: Daniel Beltita (Bucureşti) MSC: 47A60 46T20 47A63 52A07 26B25 26B12 PDFBibTeX XMLCite \textit{A. L. Brown} and \textit{H. L. Vasudeva}, Diss. Math. 390, 48 p. (2000; Zbl 0969.47009) Full Text: DOI
Penot, Jean-Paul; Zălinescu, Constantin Harmonic sum and duality. (English) Zbl 0964.49020 J. Convex Anal. 7, No. 1, 95-113 (2000). Reviewer: A.Seeger (Avignon) MSC: 49N15 49J45 52A05 52A30 26B25 90C25 PDFBibTeX XMLCite \textit{J.-P. Penot} and \textit{C. Zălinescu}, J. Convex Anal. 7, No. 1, 95--113 (2000; Zbl 0964.49020) Full Text: EuDML EMIS
Dilworth, S. J.; Howard, Ralph; Roberts, James W. On the size of approximately convex sets in normed spaces. (English) Zbl 1039.26009 Stud. Math. 140, No. 3, 213-241 (2000). Reviewer: Szymon Wąsowicz (Bielsko-Biała) MSC: 26B25 46B20 41A65 52A27 52A07 PDFBibTeX XMLCite \textit{S. J. Dilworth} et al., Stud. Math. 140, No. 3, 213--241 (2000; Zbl 1039.26009) Full Text: DOI arXiv EuDML
Huynh Van Ngai; Dinh The Luc; Théra, Michel Approximate convex functions. (English) Zbl 1033.49029 J. Nonlinear Convex Anal. 1, No. 2, 155-176 (2000). Reviewer: Qiji Zhu (Kalamazoo) MSC: 49J52 26B25 52A41 90C26 PDFBibTeX XMLCite \textit{Huynh Van Ngai} et al., J. Nonlinear Convex Anal. 1, No. 2, 155--176 (2000; Zbl 1033.49029)
Okb El-Bab, A. S.; Alghamdi, Mariam A. Exponentially convex functions depending on the norm. (English) Zbl 0968.46032 Kyungpook Math. J. 40, No. 1, 139-147 (2000). MSC: 46G05 26B25 46A45 46T20 PDFBibTeX XMLCite \textit{A. S. Okb El-Bab} and \textit{M. A. Alghamdi}, Kyungpook Math. J. 40, No. 1, 139--147 (2000; Zbl 0968.46032)
Rubinov, A. M.; Singer, Ivan Distance to the intersection of normal sets and applications. (English) Zbl 0969.26010 Numer. Funct. Anal. Optimization 21, No. 3-4, 521-535 (2000). Reviewer: Elzbieta Sadowska-Owczorz (Bielsko-Biala) MSC: 26B25 26D07 90C48 52A30 26B40 PDFBibTeX XMLCite \textit{A. M. Rubinov} and \textit{I. Singer}, Numer. Funct. Anal. Optim. 21, No. 3--4, 521--535 (2000; Zbl 0969.26010) Full Text: DOI
Do Van Luu; Nguyen Xuan Ha An invariant property of invex functions and applications. (English) Zbl 1070.90532 Acta Math. Vietnam. 25, No. 2, 181-193 (2000). Reviewer: Sándor Komlósi (MR 2001e:90062) MSC: 90C26 26B25 90C46 49J52 PDFBibTeX XMLCite \textit{Do Van Luu} and \textit{Nguyen Xuan Ha}, Acta Math. Vietnam. 25, No. 2, 181--193 (2000; Zbl 1070.90532)
Matić, M.; Pečarić, J. Some companion inequalities to Jensen’s inequality. (English) Zbl 0968.26015 Math. Inequal. Appl. 3, No. 3, 355-368 (2000). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 26A51 26B25 26E60 PDFBibTeX XMLCite \textit{M. Matić} and \textit{J. Pečarić}, Math. Inequal. Appl. 3, No. 3, 355--368 (2000; Zbl 0968.26015) Full Text: DOI Link
Ruboniv, A. M.; Shveidel, A. P. Separability of star-shaped sets with respect to infinity. (English) Zbl 1043.90555 Yang, Xiaoqi (ed.) et al., Progress in optimization. Contributions from Australasia. Papers of the 5th optimization days (OD) mini-conference, Univ. of Western Australia, Perth, Australia, June 29–30, 1998. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6286-1). Appl. Optim. 39, 45-63 (2000). MSC: 90C46 49J52 90C26 90C30 26B25 PDFBibTeX XMLCite \textit{A. M. Ruboniv} and \textit{A. P. Shveidel}, Appl. Optim. 39, 45--63 (2000; Zbl 1043.90555)
Dragomir, Sever S.; Fitzpatrick, Simon The Jensen inequality for \(s\)-Breckner convex functions in linear spaces. (English) Zbl 0957.26003 Demonstr. Math. 33, No. 1, 43-49 (2000). MSC: 26B25 26D15 PDFBibTeX XMLCite \textit{S. S. Dragomir} and \textit{S. Fitzpatrick}, Demonstr. Math. 33, No. 1, 43--49 (2000; Zbl 0957.26003) Full Text: DOI
Rockafellar, R. Tyrrell Second-order convex analysis. (English) Zbl 0960.49017 J. Nonlinear Convex Anal. 1, No. 1, 1-16 (2000). Reviewer: A.Seeger (Avignon) MSC: 49J52 26B25 58C20 PDFBibTeX XMLCite \textit{R. T. Rockafellar}, J. Nonlinear Convex Anal. 1, No. 1, 1--16 (2000; Zbl 0960.49017)
Gutiérrez, Cristian E.; Huang, Qingbo Geometric properties of the sections of solutions to the Monge-Ampère equation. (English) Zbl 0958.35043 Trans. Am. Math. Soc. 352, No. 9, 4381-4396 (2000). Reviewer: Thoralf Chrobok (Berlin) MSC: 35J60 35D10 26B25 PDFBibTeX XMLCite \textit{C. E. Gutiérrez} and \textit{Q. Huang}, Trans. Am. Math. Soc. 352, No. 9, 4381--4396 (2000; Zbl 0958.35043) Full Text: DOI
Dragomir, S. S. On Hadamard’s inequality for the convex mappings defined on a ball in the space and applications. (English) Zbl 0951.26010 Math. Inequal. Appl. 3, No. 2, 177-187 (2000). Reviewer: I.Raşa (Cluj-Napoca) MSC: 26D15 26B25 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Math. Inequal. Appl. 3, No. 2, 177--187 (2000; Zbl 0951.26010) Full Text: DOI Link
Colesanti, Andrea; Hug, Daniel Steiner type formulae and weighted measures of singularities for semi-convex functions. (English) Zbl 1096.49021 Trans. Am. Math. Soc. 352, No. 7, 3239-3263 (2000). Reviewer: Elżbieta Sadowska-Owczorz (Bielsko-Biała) MSC: 49Q15 26B25 52A41 28A78 52A20 49J52 PDFBibTeX XMLCite \textit{A. Colesanti} and \textit{D. Hug}, Trans. Am. Math. Soc. 352, No. 7, 3239--3263 (2000; Zbl 1096.49021) Full Text: DOI
Gavrea, Bogdan On Hadamard’s inequality for the convex mappings defined on a convex domain in the space. (English) Zbl 0949.26008 JIPAM, J. Inequal. Pure Appl. Math. 1, No. 1, Paper No. 9, 6 p. (2000). Reviewer: I.Raşa (Cluj-Napoca) MSC: 26D15 26B25 PDFBibTeX XMLCite \textit{B. Gavrea}, JIPAM, J. Inequal. Pure Appl. Math. 1, No. 1, Paper No.9, 6 p. (2000; Zbl 0949.26008)
Dragomir, S. S. On Hadamard’s inequality on a disk. (English) Zbl 0948.26012 JIPAM, J. Inequal. Pure Appl. Math. 1, No. 1, Paper No. 2, 11 p. (2000). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 26B25 PDFBibTeX XMLCite \textit{S. S. Dragomir}, JIPAM, J. Inequal. Pure Appl. Math. 1, No. 1, Paper No. 2, 11 p. (2000; Zbl 0948.26012) Full Text: EuDML
Daniilidis, Aris; Hadjisavvas, Nicolas On generalized cyclically monotone operators and proper quasimonotonicity. (English) Zbl 0970.49016 Optimization 47, No. 1-2, 123-135 (2000). MSC: 49J52 47H05 49J45 49J40 26B25 PDFBibTeX XMLCite \textit{A. Daniilidis} and \textit{N. Hadjisavvas}, Optimization 47, No. 1--2, 123--135 (2000; Zbl 0970.49016) Full Text: DOI
Penot, Jean-Paul What is quasiconvex analysis? (English) Zbl 0963.49013 Optimization 47, No. 1-2, 35-110 (2000). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 49J52 26B25 49K27 90C26 90C46 49N15 PDFBibTeX XMLCite \textit{J.-P. Penot}, Optimization 47, No. 1--2, 35--110 (2000; Zbl 0963.49013) Full Text: DOI
Rubinov, A. M. Abstract convexity: Examples and applications. (English) Zbl 0963.49014 Optimization 47, No. 1-2, 1-33 (2000). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 49J52 26B25 90C25 52A41 49N15 90C46 PDFBibTeX XMLCite \textit{A. M. Rubinov}, Optimization 47, No. 1--2, 1--33 (2000; Zbl 0963.49014) Full Text: DOI
Yang, Xin Min; Teo, Kok Lay; Yang, Xiao Qi A characterization of convex function. (English) Zbl 0952.26008 Appl. Math. Lett. 13, No. 1, 27-30 (2000). MSC: 26B25 PDFBibTeX XMLCite \textit{X. M. Yang} et al., Appl. Math. Lett. 13, No. 1, 27--30 (2000; Zbl 0952.26008) Full Text: DOI
Colesanti, Andrea; Hug, Daniel Hessian measures of semi-convex functions and applications to support measures of convex bodies. (English) Zbl 0973.52003 Manuscr. Math. 101, No. 2, 209-238 (2000). Reviewer: Maria Moszyńska (Warszawa) MSC: 52A20 26B25 53C65 28A78 PDFBibTeX XMLCite \textit{A. Colesanti} and \textit{D. Hug}, Manuscr. Math. 101, No. 2, 209--238 (2000; Zbl 0973.52003) Full Text: DOI