# zbMATH — the first resource for mathematics

## Fitzpatrick, Simon

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 Author ID: fitzpatrick.simon Published as: Fitzpatrick, S.; Fitzpatrick, Simon
 Documents Indexed: 42 Publications since 1980, including 1 Book Biographic References: 1 Publication
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#### Co-Authors

 5 single-authored 12 Calvert, Bruce D. 9 Borwein, Jonathan Michael 4 Dragomir, Sever Silvestru 2 Burachik, Regina Sandra 2 Giles, John R. 1 de Barra, G. 1 Girgensohn, Roland 1 Jarrett, Richard G. 1 Kenderov, Petar Stojanov 1 Phelps, Robert Ralph 1 Reznick, Bruce 1 Scott, Alastair John 1 Solomon, Wiremu 1 Vanderwerff, Jon D.
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#### Serials

 4 Bulletin of the Australian Mathematical Society 3 Commentationes Mathematicae Universitatis Carolinae 3 Demonstratio Mathematica 3 Mathematical Chronicle 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of Convex Analysis 2 Journal of Nonlinear and Convex Analysis 1 Journal of Mathematical Analysis and Applications 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea Ia. Matematică-Informatică 1 The Australian Journal of Statistics 1 Illinois Journal of Mathematics 1 Journal of the American Statistical Association 1 Mathematische Zeitschrift 1 Studia Scientiarum Mathematicarum Hungarica 1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni
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#### Fields

 31 Functional analysis (46-XX) 11 Operator theory (47-XX) 6 Approximations and expansions (41-XX) 6 Convex and discrete geometry (52-XX) 5 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

29 Publications have been cited 423 times in 351 Documents Cited by Year
The Hadamard inequalities for $$s$$-convex functions in the second sense. Zbl 0952.26014
Dragomir, Sever S.; Fitzpatrick, Simon
1999
Representing monotone operators by convex functions. Zbl 0669.47029
Fitzpatrick, Simon
1988
Existence of nearest points in Banach spaces. Zbl 0668.46006
Borwein, Jonathan M.; Fitzpatrick, Simon
1989
Metric projections and the differentiability of distance functions. Zbl 0437.46012
Fitzpatrick, Simon
1980
Mosco convergence and the Kadec property. Zbl 0672.46007
Borwein, Jonathan M.; Fitzpatrick, Simon
1989
Differentiation of real-valued functions and continuity of metric projections. Zbl 0604.46050
Fitzpatrick, Simon
1984
Differentiability of the metric projection in Hilbert space. Zbl 0504.41029
Fitzpatrick, Simon; Phelps, R. R.
1982
Minimal convex uscos and monotone operators on small sets. Zbl 0746.46035
Borwein, Jonathan; Fitzpatrick, Simon; Kenderov, Petàr
1991
The Jensen inequality for $$s$$-Breckner convex functions in linear spaces. Zbl 0957.26003
Dragomir, Sever S.; Fitzpatrick, Simon
2000
Bounded approximants to monotone operators on Banach spaces. Zbl 0818.47052
Fitzpatrick, S.; Phelps, R. R.
1992
Quick simultaneous confidence intervals for multinomial proportions. Zbl 0623.62024
Fitzpatrick, Simon; Scott, Alastair
1987
On a family of convex functions associated to subdifferentials. Zbl 1076.46056
Burachik, R. S.; Fitzpatrick, S.
2005
Weak* sequential compactness and bornological limit derivatives. Zbl 0837.49015
Borwein, Jonathan; Fitzpatrick, Simon
1995
A weak Hadamard smooth renorming of $$L_ 1(\Omega,\mu)$$. Zbl 0795.46003
Borwein, Jonathan M.; Fitzpatrick, Simon
1993
Nearest points to closed sets and directional derivatives of distance functions. Zbl 0674.46011
Fitzpatrick, Simon
1989
Local boundedness of monotone operators under minimal hypotheses. Zbl 0694.47040
Borwein, Jon; Fitzpatrick, Simon
1989
Examples of convex functions and classifications of normed spaces. Zbl 0823.46005
Borwein, Jon; Fitzpatrick, Simon; Vanderwerff, Jon
1994
On the geometric quantization of contact manifolds. Zbl 1251.32029
Fitzpatrick, S.
2011
Separably related sets and the Radon-Nikodým property. Zbl 0546.46009
Fitzpatrick, Simon
1985
Subdifferentials whose graphs are not norm $$\times$$ weak$$^*$$ closed. Zbl 1053.46008
Borwein, Jonathan; Fitzpatrick, Simon; Girgensohn, Roland
2003
$$s$$-Orlicz convex functions in linear spaces and Jensen’s discrete inequality. Zbl 0888.46005
Dragomir, Sever Silvestru; Fitzpatrick, Simon
1997
In a nonreflexive space the subdifferential is not onto. Zbl 0551.46024
Fitzpatrick, Simon; Calvert, Bruce
1985
Weak-star convergence of convex sets. Zbl 1116.46006
Fitzpatrick, S.; Lewis, A. S.
2006
Characterizing $$\ell _ p$$ and $$c_ 0$$ by projections onto hyperplanes. Zbl 0622.46015
Calvert, Bruce; Fitzpatrick, Simon
1986
Hadamard inequality for $$s$$-convex functions in the first sense and applications. Zbl 0923.26014
Dragomir, Sever S.; Fitzpatrick, Simon
1998
Upper bounds for the harmonic mean, with an application to experimental design. Zbl 0612.62020
Fitzpatrick, Simon; Jarrett, Richard G.
1986
Characterising Lorentz space by norm one projections. Zbl 0713.46013
Fitzpatrick, S.; Calvert, B.
1994
On generic differentiability of locally Lipschitz functions on Banach spaces. Zbl 0682.46029
de Barra, G.; Fitzpatrick, Simon; Giles, J. R.
1988
Skewness in Banach spaces. Zbl 0515.46012
Fitzpatrick, Simon; Reznick, Bruce
1983
On the geometric quantization of contact manifolds. Zbl 1251.32029
Fitzpatrick, S.
2011
Weak-star convergence of convex sets. Zbl 1116.46006
Fitzpatrick, S.; Lewis, A. S.
2006
On a family of convex functions associated to subdifferentials. Zbl 1076.46056
Burachik, R. S.; Fitzpatrick, S.
2005
Subdifferentials whose graphs are not norm $$\times$$ weak$$^*$$ closed. Zbl 1053.46008
Borwein, Jonathan; Fitzpatrick, Simon; Girgensohn, Roland
2003
The Jensen inequality for $$s$$-Breckner convex functions in linear spaces. Zbl 0957.26003
Dragomir, Sever S.; Fitzpatrick, Simon
2000
The Hadamard inequalities for $$s$$-convex functions in the second sense. Zbl 0952.26014
Dragomir, Sever S.; Fitzpatrick, Simon
1999
Hadamard inequality for $$s$$-convex functions in the first sense and applications. Zbl 0923.26014
Dragomir, Sever S.; Fitzpatrick, Simon
1998
$$s$$-Orlicz convex functions in linear spaces and Jensen’s discrete inequality. Zbl 0888.46005
Dragomir, Sever Silvestru; Fitzpatrick, Simon
1997
Weak* sequential compactness and bornological limit derivatives. Zbl 0837.49015
Borwein, Jonathan; Fitzpatrick, Simon
1995
Examples of convex functions and classifications of normed spaces. Zbl 0823.46005
Borwein, Jon; Fitzpatrick, Simon; Vanderwerff, Jon
1994
Characterising Lorentz space by norm one projections. Zbl 0713.46013
Fitzpatrick, S.; Calvert, B.
1994
A weak Hadamard smooth renorming of $$L_ 1(\Omega,\mu)$$. Zbl 0795.46003
Borwein, Jonathan M.; Fitzpatrick, Simon
1993
Bounded approximants to monotone operators on Banach spaces. Zbl 0818.47052
Fitzpatrick, S.; Phelps, R. R.
1992
Minimal convex uscos and monotone operators on small sets. Zbl 0746.46035
Borwein, Jonathan; Fitzpatrick, Simon; Kenderov, Petàr
1991
Existence of nearest points in Banach spaces. Zbl 0668.46006
Borwein, Jonathan M.; Fitzpatrick, Simon
1989
Mosco convergence and the Kadec property. Zbl 0672.46007
Borwein, Jonathan M.; Fitzpatrick, Simon
1989
Nearest points to closed sets and directional derivatives of distance functions. Zbl 0674.46011
Fitzpatrick, Simon
1989
Local boundedness of monotone operators under minimal hypotheses. Zbl 0694.47040
Borwein, Jon; Fitzpatrick, Simon
1989
Representing monotone operators by convex functions. Zbl 0669.47029
Fitzpatrick, Simon
1988
On generic differentiability of locally Lipschitz functions on Banach spaces. Zbl 0682.46029
de Barra, G.; Fitzpatrick, Simon; Giles, J. R.
1988
Quick simultaneous confidence intervals for multinomial proportions. Zbl 0623.62024
Fitzpatrick, Simon; Scott, Alastair
1987
Characterizing $$\ell _ p$$ and $$c_ 0$$ by projections onto hyperplanes. Zbl 0622.46015
Calvert, Bruce; Fitzpatrick, Simon
1986
Upper bounds for the harmonic mean, with an application to experimental design. Zbl 0612.62020
Fitzpatrick, Simon; Jarrett, Richard G.
1986
Separably related sets and the Radon-Nikodým property. Zbl 0546.46009
Fitzpatrick, Simon
1985
In a nonreflexive space the subdifferential is not onto. Zbl 0551.46024
Fitzpatrick, Simon; Calvert, Bruce
1985
Differentiation of real-valued functions and continuity of metric projections. Zbl 0604.46050
Fitzpatrick, Simon
1984
Skewness in Banach spaces. Zbl 0515.46012
Fitzpatrick, Simon; Reznick, Bruce
1983
Differentiability of the metric projection in Hilbert space. Zbl 0504.41029
Fitzpatrick, Simon; Phelps, R. R.
1982
Metric projections and the differentiability of distance functions. Zbl 0437.46012
Fitzpatrick, Simon
1980
all top 5