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Valentine, Frederick Albert

Author ID: valentine.frederick-albert Recent zbMATH articles by "Valentine, Frederick Albert"
Published as: Valentine, F. A.; Valentine, Frederick A.; Valentine, Frederick Albert
Documents Indexed: 43 Publications since 1933, including 4 Books
Co-Authors: 8 Co-Authors with 12 Joint Publications
120 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 541 times in 490 Documents Cited by Year
Convex sets. Zbl 0129.37203
Valentine, F. A.
279
1964
A Lipschitz condition preserving extension for a vector function. Zbl 0061.37507
Valentine, F. A.
52
1945
On the Arzelá-Ascoli theorem. Zbl 0101.28501
Green, J. W.; Valentine, F. A.
27
1961
A three point convexity property. Zbl 0080.15401
Valentine, F. A.
25
1957
Local convexity and \(L_ n\) sets. Zbl 0135.40702
Valentine, F. A.
22
1965
The problem of Lagrange with differential inequalities as added side conditions. Zbl 0018.13802
Valentine, Frederick Albert
18
1937
Convex sets. Zbl 0333.52001
Valentine, Frederick A.
15
1976
Some properties of \(L\) sets in the plane. Zbl 0034.10403
Horn, Alfred; Valentine, F. A.
14
1949
The number of farthest points. Zbl 0050.16503
Motzkin, T. S.; Straus, E. G.; Valentine, F. A.
12
1953
Arcwise convex sets. Zbl 0044.19102
Valentine, F. A.
12
1951
On the extension of a vector function so as to preserve a Lipschitz condition. Zbl 0061.37505
Valentine, F. A.
11
1943
Konvexe Mengen. Zbl 0157.52501
Valentine, F. A.
11
1968
Visible shorelines. Zbl 0189.52903
Valentine, F. A.
10
1970
A generalization of a theorem of Tietze and Nakajima on local convexity. Zbl 0097.31204
Sacksteder, Richard; Straus, E. G.; Valentine, F. A.
8
1961
Minimal sets of visibility. Zbl 0052.18103
Valentine, F. A.
4
1953
External visibility. Zbl 0346.52008
Buchman, Edwin; Valentine, F. A.
4
1976
Contractions in non-Euclidean spaces. Zbl 0061.37506
Valentine, F. A.
3
1944
A characterization of finite dimensional convex sets. Zbl 0046.15901
Straus, E. G.; Valentine, F. A.
2
1952
Local convexity and starshaped sets. Zbl 0132.17302
Valentine, F. A.
2
1965
A characterization of convex surfaces which are L-sets. Zbl 0264.52005
Buchman, E. O.; Valentine, F. A.
2
1973
The determination of connected linear sections. Zbl 0029.31902
Valentine, F. A.
1
1947
A characteristic property of the circle in the Minkowski plane. Zbl 0043.37502
Valentine, F. A.
1
1951
A characterization of simply connected closed arcwise convex sets. Zbl 0044.19103
Valentine, F. A.
1
1951
The motion of a flexible inelastic tube constrained to move on a rough convex curve. Zbl 0082.17203
Valentine, F. A.
1
1958
Two theorems of Krasnosel’skii type. Zbl 0146.44204
Valentine, F. A.
1
1967
The dual cone and Helly type theorems. Zbl 0138.43204
Valentine, F. A.
1
1963
A characterization of the parallelepided in \(E^ n\). Zbl 0202.53303
Buchman, E.; Valentine, F. A.
1
1970
Any new Helly numbers? Zbl 0542.52008
Buchman, Edwin O.; Valentine, Frederick A.
1
1982
Any new Helly numbers? Zbl 0542.52008
Buchman, Edwin O.; Valentine, Frederick A.
1
1982
Convex sets. Zbl 0333.52001
Valentine, Frederick A.
15
1976
External visibility. Zbl 0346.52008
Buchman, Edwin; Valentine, F. A.
4
1976
A characterization of convex surfaces which are L-sets. Zbl 0264.52005
Buchman, E. O.; Valentine, F. A.
2
1973
Visible shorelines. Zbl 0189.52903
Valentine, F. A.
10
1970
A characterization of the parallelepided in \(E^ n\). Zbl 0202.53303
Buchman, E.; Valentine, F. A.
1
1970
Konvexe Mengen. Zbl 0157.52501
Valentine, F. A.
11
1968
Two theorems of Krasnosel’skii type. Zbl 0146.44204
Valentine, F. A.
1
1967
Local convexity and \(L_ n\) sets. Zbl 0135.40702
Valentine, F. A.
22
1965
Local convexity and starshaped sets. Zbl 0132.17302
Valentine, F. A.
2
1965
Convex sets. Zbl 0129.37203
Valentine, F. A.
279
1964
The dual cone and Helly type theorems. Zbl 0138.43204
Valentine, F. A.
1
1963
On the Arzelá-Ascoli theorem. Zbl 0101.28501
Green, J. W.; Valentine, F. A.
27
1961
A generalization of a theorem of Tietze and Nakajima on local convexity. Zbl 0097.31204
Sacksteder, Richard; Straus, E. G.; Valentine, F. A.
8
1961
The motion of a flexible inelastic tube constrained to move on a rough convex curve. Zbl 0082.17203
Valentine, F. A.
1
1958
A three point convexity property. Zbl 0080.15401
Valentine, F. A.
25
1957
The number of farthest points. Zbl 0050.16503
Motzkin, T. S.; Straus, E. G.; Valentine, F. A.
12
1953
Minimal sets of visibility. Zbl 0052.18103
Valentine, F. A.
4
1953
A characterization of finite dimensional convex sets. Zbl 0046.15901
Straus, E. G.; Valentine, F. A.
2
1952
Arcwise convex sets. Zbl 0044.19102
Valentine, F. A.
12
1951
A characteristic property of the circle in the Minkowski plane. Zbl 0043.37502
Valentine, F. A.
1
1951
A characterization of simply connected closed arcwise convex sets. Zbl 0044.19103
Valentine, F. A.
1
1951
Some properties of \(L\) sets in the plane. Zbl 0034.10403
Horn, Alfred; Valentine, F. A.
14
1949
The determination of connected linear sections. Zbl 0029.31902
Valentine, F. A.
1
1947
A Lipschitz condition preserving extension for a vector function. Zbl 0061.37507
Valentine, F. A.
52
1945
Contractions in non-Euclidean spaces. Zbl 0061.37506
Valentine, F. A.
3
1944
On the extension of a vector function so as to preserve a Lipschitz condition. Zbl 0061.37505
Valentine, F. A.
11
1943
The problem of Lagrange with differential inequalities as added side conditions. Zbl 0018.13802
Valentine, Frederick Albert
18
1937
all top 5

Cited by 585 Authors

54 Breen, Marilyn
14 Jerónimo-Castro, Jesús
8 Lorenz, Thomas
6 Martini, Horst
5 Beer, Gerald Alan
5 De Blasi, Francesco Saverio
5 Myjak, Jozef Wenety
5 Valentine, Frederick Albert
5 Wood, Derick
4 Cel, Jarosław
4 El Mfadel, Ali
4 Elomari, M’Hamed
4 Hoàng Xuân Phù
4 Jimenez-Lopez, Francisco G.
4 Le Gruyer, Erwan Y.
4 Melliani, Said
4 Soltan, Valeriu
4 Tsar’kov, Igor’ Germanovich
4 Ubhaya, Vasant A.
3 An, Phan Thanh
3 Bauschke, Heinz H.
3 Bhattacharya, Binay Kumar
3 Bouldin, Richard
3 Bridgland, T. F. jun.
3 Cockayne, Ernest J.
3 Fink, Eugene
3 Flåm, Sjur Didrik
3 Fuchssteiner, Benno
3 González-García, Iván
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 Morales-Amaya, Efrén
3 Mynhardt, Christina Magdalena
3 Nickel, Stefan
3 Perles, Micha A.
3 Toranzos, Fausto A.
3 Urrutia Galicia, Jorge L.
3 Valtr, Pavel
3 Vitale, Richard A.
3 Yee-Romero, Carlos
3 Zanolin, Fabio
2 Aichholzer, Oswin
2 Alimov, Alexey R.
2 Aurenhammer, Franz
2 Ayala-Figueroa, Rafael Iván
2 Azagra, Daniel
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 Ferreira, Jorge
2 Forte Cunto, Ana
2 Gruber, Peter Manfred
2 Guay, Merle D.
2 Holik, Federico Hernán
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 Maheswari, Muthukrishnan Latha
2 Massri, Cesar
2 Mudarra, Carlos
2 Mukhopadhyay, Asish Kumar
2 Nagy, Stanislav
2 Nahak, Chandal
2 Nashed, M. Zuhair
2 Nicolae, Adriana
2 Nikodem, Kazimierz
2 Panni, Willian S.
2 Pham Dinh Tao
2 Pintea, Cornel
2 Piṣkin, Erhan
2 Ramos, Pedro A.
2 Reich, Simeon
2 Saleh, Wedad
2 Shahrouzi, Mohammad
2 Shri, Kolathur Srinivasan Keerthana
2 Simons, Stephen
2 Som, Sumit
2 Stanek, Jean Chan
2 Stavrakas, Nick M.
2 Tassy, Martin
...and 485 more Authors
all top 5

Cited in 173 Serials

36 Proceedings of the American Mathematical Society
29 Journal of Geometry
25 Journal of Mathematical Analysis and Applications
23 Israel Journal of Mathematics
20 Archiv der Mathematik
18 Aequationes Mathematicae
11 Journal of Approximation Theory
11 Linear Algebra and its Applications
10 Discrete Mathematics
9 Journal of Optimization Theory and Applications
8 Discrete & Computational Geometry
7 Beiträge zur Algebra und Geometrie
7 Numerical Functional Analysis and Optimization
6 Mathematical Notes
6 Journal of Functional Analysis
6 Mathematische Annalen
6 Results in Mathematics
6 European Journal of Operational Research
6 Nonlinear Analysis. Theory, Methods & Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Transactions of the American Mathematical Society
4 Computing
4 Computational Geometry
4 Zeitschrift für Operations Research. Serie A: Theorie
4 Advances in Geometry
3 Computers & Mathematics with Applications
3 Advances in Mathematics
3 Compositio Mathematica
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Mathematical Social Sciences
3 Statistics & Probability Letters
3 Journal of Convex Analysis
3 Abstract and Applied Analysis
3 Discrete and Continuous Dynamical Systems. Series B
3 Bulletin of the American Mathematical Society
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 Economic Theory
2 Journal of Mathematical Economics
2 Journal of Soviet Mathematics
2 Mathematical Systems Theory
2 Quaestiones Mathematicae
2 Rendiconti del Seminario Matematico della Università di Padova
2 Siberian Mathematical Journal
2 Optimization
2 Probability Theory and Related Fields
2 Annals of Operations Research
2 International Journal of Computational Geometry & Applications
2 Acta Mathematica Universitatis Comenianae. New Series
2 Numerical Algorithms
2 Geometric and Functional Analysis. GAFA
2 Pattern Recognition
2 Expositiones Mathematicae
2 International Journal of Robust and Nonlinear Control
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
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 International Journal of Control
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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
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 Canadian Mathematical Bulletin
1 Functional Analysis and its Applications
1 Fuzzy Sets and Systems
1 Journal of Multivariate Analysis
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 Le Matematiche
1 Mathematical Programming
1 Mathematica Slovaca
...and 73 more Serials
all top 5

Cited in 50 Fields

202 Convex and discrete geometry (52-XX)
58 Functional analysis (46-XX)
52 Operator theory (47-XX)
44 Calculus of variations and optimal control; optimization (49-XX)
40 Operations research, mathematical programming (90-XX)
31 Real functions (26-XX)
25 General topology (54-XX)
23 Ordinary differential equations (34-XX)
22 Approximations and expansions (41-XX)
21 Partial differential equations (35-XX)
21 Computer science (68-XX)
18 Numerical analysis (65-XX)
16 Geometry (51-XX)
16 Probability theory and stochastic processes (60-XX)
15 Combinatorics (05-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Differential geometry (53-XX)
13 Systems theory; control (93-XX)
12 Statistics (62-XX)
11 Functions of a complex variable (30-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Difference and functional equations (39-XX)
9 Global analysis, analysis on manifolds (58-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Measure and integration (28-XX)
6 Potential theory (31-XX)
6 Several complex variables and analytic spaces (32-XX)
4 Mathematical logic and foundations (03-XX)
3 History and biography (01-XX)
3 Integral equations (45-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Biology and other natural sciences (92-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Sequences, series, summability (40-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of deformable solids (74-XX)
2 Quantum theory (81-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 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year