Edit Profile Valentine, Frederick Albert Compute Distance To: Compute Author ID: valentine.frederick-albert Published as: Valentine, F. A.; Valentine, Frederick A.; Valentine, Frederick Albert Documents Indexed: 43 Publications since 1933, including 4 Books all top 5 Co-Authors 31 single-authored 4 Buchman, Edwin O. 3 Straus, Ernst G. 2 Robkin, E. E. 1 Green, John Willie 1 Hartman, Philip 1 Horn, Alfred 1 Motzkin, Theodore Samuel 1 Sacksteder, Richard all top 5 Serials 9 Proceedings of the American Mathematical Society 8 American Mathematical Monthly 5 Pacific Journal of Mathematics 3 Duke Mathematical Journal 3 Bulletin of the American Mathematical Society 2 American Journal of Mathematics 2 Canadian Journal of Mathematics 1 Israel Journal of Mathematics 1 Mathematics Magazine 1 Journal of the London Mathematical Society Fields 6 Convex and discrete geometry (52-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 29 Publications have been cited 496 times in 436 Documents Cited by ▼ Year ▼ Convex sets. Zbl 0129.37203Valentine, F. A. 255 1964 A Lipschitz condition preserving extension for a vector function. Zbl 0061.37507Valentine, F. A. 48 1945 A three point convexity property. Zbl 0080.15401Valentine, F. A. 25 1957 Local convexity and \(L_ n\) sets. Zbl 0135.40702Valentine, F. A. 21 1965 Convex sets. Zbl 0333.52001Valentine, Frederick A. 20 1976 On the Arzelá-Ascoli theorem. Zbl 0101.28501Green, J. W.; Valentine, F. A. 12 1961 Arcwise convex sets. Zbl 0044.19102Valentine, F. A. 12 1951 Some properties of \(L\) sets in the plane. Zbl 0034.10403Horn, Alfred; Valentine, F. A. 12 1949 The problem of Lagrange with differential inequalities as added side conditions. Zbl 0018.13802Valentine, Frederick Albert 12 1937 The problem of Lagrange with differential inequalities as added side conditions. JFM 63.0481.02Valentine, F. A. 12 1933 Visible shorelines. Zbl 0189.52903Valentine, F. A. 10 1970 On the extension of a vector function so as to preserve a Lipschitz condition. Zbl 0061.37505Valentine, F. A. 10 1943 Konvexe Mengen. Zbl 0157.52501Valentine, F. A. 9 1968 The number of farthest points. Zbl 0050.16503Motzkin, T. S.; Straus, E. G.; Valentine, F. A. 8 1953 A generalization of a theorem of Tietze and Nakajima on local convexity. Zbl 0097.31204Sacksteder, Richard; Straus, E. G.; Valentine, F. A. 6 1961 External visibility. Zbl 0346.52008Buchman, Edwin; Valentine, F. A. 4 1976 Minimal sets of visibility. Zbl 0052.18103Valentine, F. A. 3 1953 Contractions in non-Euclidean spaces. Zbl 0061.37506Valentine, F. A. 3 1944 A characterization of convex surfaces which are L-sets. Zbl 0264.52005Buchman, E. O.; Valentine, F. A. 2 1973 Local convexity and starshaped sets. Zbl 0132.17302Valentine, F. A. 2 1965 A characterization of finite dimensional convex sets. Zbl 0046.15901Straus, E. G.; Valentine, F. A. 2 1952 Any new Helly numbers? Zbl 0542.52008Buchman, Edwin O.; Valentine, Frederick A. 1 1982 A characterization of the parallelepided in \(E^ n\). Zbl 0202.53303Buchman, E.; Valentine, F. A. 1 1970 Two theorems of Krasnosel’skii type. Zbl 0146.44204Valentine, F. A. 1 1967 The dual cone and Helly type theorems. Zbl 0138.43204Valentine, F. A. 1 1963 The motion of a flexible inelastic tube constrained to move on a rough convex curve. Zbl 0082.17203Valentine, F. A. 1 1958 A characterization of simply connected closed arcwise convex sets. Zbl 0044.19103Valentine, F. A. 1 1951 A characteristic property of the circle in the Minkowski plane. Zbl 0043.37502Valentine, F. A. 1 1951 The determination of connected linear sections. Zbl 0029.31902Valentine, F. A. 1 1947 Any new Helly numbers? Zbl 0542.52008Buchman, Edwin O.; Valentine, Frederick A. 1 1982 Convex sets. Zbl 0333.52001Valentine, Frederick A. 20 1976 External visibility. Zbl 0346.52008Buchman, Edwin; Valentine, F. A. 4 1976 A characterization of convex surfaces which are L-sets. Zbl 0264.52005Buchman, E. O.; Valentine, F. A. 2 1973 Visible shorelines. Zbl 0189.52903Valentine, F. A. 10 1970 A characterization of the parallelepided in \(E^ n\). Zbl 0202.53303Buchman, E.; Valentine, F. A. 1 1970 Konvexe Mengen. Zbl 0157.52501Valentine, F. A. 9 1968 Two theorems of Krasnosel’skii type. Zbl 0146.44204Valentine, F. A. 1 1967 Local convexity and \(L_ n\) sets. Zbl 0135.40702Valentine, F. A. 21 1965 Local convexity and starshaped sets. Zbl 0132.17302Valentine, F. A. 2 1965 Convex sets. Zbl 0129.37203Valentine, F. A. 255 1964 The dual cone and Helly type theorems. Zbl 0138.43204Valentine, F. A. 1 1963 On the Arzelá-Ascoli theorem. Zbl 0101.28501Green, J. W.; Valentine, F. A. 12 1961 A generalization of a theorem of Tietze and Nakajima on local convexity. Zbl 0097.31204Sacksteder, Richard; Straus, E. G.; Valentine, F. A. 6 1961 The motion of a flexible inelastic tube constrained to move on a rough convex curve. Zbl 0082.17203Valentine, F. A. 1 1958 A three point convexity property. Zbl 0080.15401Valentine, F. A. 25 1957 The number of farthest points. Zbl 0050.16503Motzkin, T. S.; Straus, E. G.; Valentine, F. A. 8 1953 Minimal sets of visibility. Zbl 0052.18103Valentine, F. A. 3 1953 A characterization of finite dimensional convex sets. Zbl 0046.15901Straus, E. G.; Valentine, F. A. 2 1952 Arcwise convex sets. Zbl 0044.19102Valentine, F. A. 12 1951 A characterization of simply connected closed arcwise convex sets. Zbl 0044.19103Valentine, F. A. 1 1951 A characteristic property of the circle in the Minkowski plane. Zbl 0043.37502Valentine, F. A. 1 1951 Some properties of \(L\) sets in the plane. Zbl 0034.10403Horn, Alfred; Valentine, F. A. 12 1949 The determination of connected linear sections. Zbl 0029.31902Valentine, F. A. 1 1947 A Lipschitz condition preserving extension for a vector function. Zbl 0061.37507Valentine, F. A. 48 1945 Contractions in non-Euclidean spaces. Zbl 0061.37506Valentine, F. A. 3 1944 On the extension of a vector function so as to preserve a Lipschitz condition. Zbl 0061.37505Valentine, F. A. 10 1943 The problem of Lagrange with differential inequalities as added side conditions. Zbl 0018.13802Valentine, Frederick Albert 12 1937 The problem of Lagrange with differential inequalities as added side conditions. JFM 63.0481.02Valentine, F. A. 12 1933 all cited Publications top 5 cited Publications all top 5 Cited by 518 Authors 51 Breen, Marilyn 8 Lorenz, Thomas 6 Martini, Horst 5 Beer, Gerald Alan 5 De Blasi, Francesco Saverio 5 Jerónimo-Castro, Jesús 5 Le Gruyer, Erwan Y. 5 Myjak, Jozef Wenety 5 Valentine, Frederick Albert 5 Wood, Derick 4 Cel, Jarosław 4 Hoàng Xuân Phù 4 Ubhaya, Vasant A. 3 An, Phan Thanh 3 Bauschke, Heinz H. 3 Bouldin, Richard 3 Bridgland, T. F. jun. 3 Cel, Jaroslav 3 Cockayne, Ernest J. 3 Fink, Eugene 3 Flåm, Sjur Didrik 3 Fuchssteiner, Benno 3 Hare, W. R. jun. 3 Hurtado, Ferran 3 Kay, David C. 3 Kenelly, John W. 3 Kloeden, Peter Eris 3 Kołodziejczyk, Krzysztof 3 Minty, George J. 3 Mond, Bertram 3 Mynhardt, Christina M. 3 Nickel, Stefan 3 Soltan, Valeriu 3 Toranzos, Fausto A. 3 Urrutia Galicia, Jorge L. 3 Valtr, Pavel 3 Vitale, Richard A. 2 Aichholzer, Oswin 2 Aurenhammer, Franz 2 Bhattacharya, Binay Kumar 2 Bisztriczky, Tibor 2 Bruckner, Andrew M. 2 Bruckner, Judith B. 2 Burns, John A. 2 Cerrai, Sandra 2 Cubiotti, Paolo 2 Da Prato, Giuseppe 2 Dharmadhikari, Sudhakar Waman 2 Drury, Stephen William 2 Eggleston, H. G. 2 Farber, Martin 2 Fernandes, M. Lourdes C. 2 Forte Cunto, Ana 2 Gruber, Peter Manfred 2 Guay, Merle D. 2 Hanson, Morgan A. 2 Holik, Federico 2 Jamison, Robert E. 2 Jogdeo, Kumar 2 Kiliçman, Adem 2 Kim, Do Sang 2 Kojman, Menachem 2 Kominek, Zygfryd 2 Kuczma, Marek 2 Lassak, Marek 2 Lee, Wonjung 2 Massri, Cesar 2 Nagy, Stanislav 2 Nashed, M. Zuhair 2 Nicolae, Adriana 2 Nikodem, Kazimierz 2 Perles, Micha A. 2 Pham Dinh Tao 2 Pintea, Cornel 2 Ramos, Pedro A. 2 Reich, Simeon 2 Saleh, Wedad 2 Simons, Stephen 2 Stanek, Jean Chan 2 Stavrakas, Nick M. 2 Tassy, Martin 2 Toussaint, Godfried T. 2 Tsar’kov, Igor’ Germanovich 2 Wang, Shawn Xianfu 2 Yee-Romero, Carlos 2 Zanolin, Fabio 2 Zecca, Pietro 1 Absar, I. 1 Acosta-Portilla, Juan Rafael 1 Aguilar-Arteaga, Victor A. 1 Akemann, Charles A. 1 Akopyan, Arseniy V. 1 Alimov, Alexey R. 1 Allgaier, Luisa 1 Ambrosio, Luigi 1 Anderson, Joel 1 Ando, Tsuneya 1 Anikin, Anton S. 1 Anza Hafsa, Omar 1 Ariza-Ruiz, David ...and 418 more Authors all top 5 Cited in 148 Serials 36 Proceedings of the American Mathematical Society 30 Journal of Mathematical Analysis and Applications 28 Journal of Geometry 21 Israel Journal of Mathematics 20 Archiv der Mathematik 14 Aequationes Mathematicae 12 Journal of Optimization Theory and Applications 11 Journal of Approximation Theory 10 Discrete Mathematics 9 Linear Algebra and its Applications 7 Numerical Functional Analysis and Optimization 7 Discrete & Computational Geometry 6 Mathematical Notes 6 Journal of Functional Analysis 6 Mathematische Annalen 6 Nonlinear Analysis. Theory, Methods & Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Transactions of the American Mathematical Society 4 Beiträge zur Algebra und Geometrie 4 Computing 4 Computational Geometry 4 European Journal of Operational Research 4 Zeitschrift für Operations Research. Serie A: Theorie 3 Advances in Mathematics 3 Compositio Mathematica 3 Journal of Computational and Applied Mathematics 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Mathematical Social Sciences 3 Statistics & Probability Letters 3 Advances in Geometry 3 Bulletin of the American Mathematical Society 2 Computers & Mathematics with Applications 2 Discrete Applied Mathematics 2 International Journal of Theoretical Physics 2 Journal d’Analyse Mathématique 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Geometriae Dedicata 2 Information Sciences 2 Journal of Combinatorial Theory. Series B 2 Journal of Differential Equations 2 Journal of Economic Theory 2 Journal of Mathematical Economics 2 Journal of Soviet Mathematics 2 Mathematical Systems Theory 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Annals of Operations Research 2 International Journal of Computational Geometry & Applications 2 Numerical Algorithms 2 Geometric and Functional Analysis. GAFA 2 Pattern Recognition 2 Expositiones Mathematicae 2 Discrete and Continuous Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Proceedings of the Japan Academy 2 Journal of Fixed Point Theory and Applications 2 Set-Valued and Variational Analysis 1 American Mathematical Monthly 1 Applicable Analysis 1 Artificial Intelligence 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 International Journal of Engineering Science 1 International Journal of Systems Science 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Functional Analysis and its Applications 1 Fuzzy Sets and Systems 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Manuscripta Mathematica 1 Mathematical Programming 1 Mathematica Slovaca 1 Mathematika 1 Meccanica 1 Quaestiones Mathematicae 1 Theory and Decision 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Topology and its Applications 1 Cybernetics 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen ...and 48 more Serials all top 5 Cited in 50 Fields 176 Convex and discrete geometry (52-XX) 53 Functional analysis (46-XX) 41 Operator theory (47-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 34 Operations research, mathematical programming (90-XX) 22 General topology (54-XX) 21 Real functions (26-XX) 19 Computer science (68-XX) 18 Approximations and expansions (41-XX) 17 Numerical analysis (65-XX) 15 Ordinary differential equations (34-XX) 14 Combinatorics (05-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Partial differential equations (35-XX) 13 Geometry (51-XX) 13 Differential geometry (53-XX) 13 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 11 Systems theory; control (93-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 6 Measure and integration (28-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Potential theory (31-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Mechanics of deformable solids (74-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year