Frank Deutsch
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Most Influential Person Now
American mathematician
Frank Deutsch's AcademicInfluence.com Rankings
Frank Deutschmathematics Degrees
Mathematics
#5412
World Rank
#7618
Historical Rank
#1777
USA Rank
Measure Theory
#3340
World Rank
#3944
Historical Rank
#962
USA Rank

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Mathematics
Frank Deutsch's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Princeton University
Why Is Frank Deutsch Influential?
(Suggest an Edit or Addition)According to Wikipedia, Frank Deutsch is an American academic applied mathematician specializing in approximation theory. He is an emeritus professor at The Pennsylvania State University, and is the author of over 94 journal articles and two books, and on the editorial board of five journals.
Frank Deutsch's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings (1998) (221)
- Best approximation in inner product spaces (2001) (212)
- The Angle Between Subspaces of a Hilbert Space (1995) (186)
- The Method of Alternating Orthogonal Projections (1992) (129)
- The rate of convergence of dykstra's cyclic projections algorithm: The polyhedral case (1994) (103)
- Accelerating the convergence of the method of alternating projections (2003) (86)
- Applications of the Hahn-Banach Theorem in Approximation Theory (1967) (81)
- The Rate of Convergence for the Method of Alternating Projections, II (1997) (80)
- A Dual Approach to Constrained Interpolationfrom a Convex Subset of Hilbert Space (1997) (75)
- Constrained best approximation in Hilbert space (1990) (71)
- Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections (1983) (71)
- Rate of Convergence of the Method of Alternating Projections (1984) (62)
- Strong CHIP, normality, and linear regularity of convex sets (2005) (62)
- The rate of convergence for the cyclic projections algorithm I: Angles between convex sets (2006) (61)
- Best Approximation from the Intersection of a Closed Convex Set and a Polyhedron in Hilbert Space, Weak Slater Conditions, and the Strong Conical Hull Intersection Property (1999) (57)
- A new proximal point iteration that converges weakly but not in norm (2005) (56)
- On some geometric properties of suns (1974) (55)
- Suns, moons, and quasi-polyhedra (1972) (50)
- Constrained best approximation in Hilbert space, II (1992) (49)
- The rate of convergence for the cyclic projections algorithm III: Regularity of convex sets (2008) (48)
- Fenchel Duality and the Strong Conical Hull Intersection Property (1999) (41)
- Characterizing arbitrarily slow convergence in the method of alternating projections (2007) (41)
- Existence of best approximations (1980) (39)
- Interpolating subspaces in approximation theory (1970) (39)
- Simultaneous Interpolation and Approximation in Topological Linear Spaces (1966) (38)
- Linear selections for the metric projection (1982) (37)
- An elementary proof of the Stone-Weierstrass theorem (1981) (34)
- Radial continuity of set-valued metric projections (1974) (33)
- Two generalizations of Dykstra’s cyclic projections algorithm (1997) (31)
- The rate of convergence for the cyclic projections algorithm II: Norms of nonlinear operators (2006) (30)
- THE CONVEXITY OF CHEBYSHEV SETS IN HILBERT SPACE (1993) (30)
- WEAK CHEBYSHEV SUBSPACES AND ALTERNATION (1980) (27)
- Characterizations of continuous and Lipschitz continuous metric selections in normed linear spaces (1989) (25)
- Chebychev sets which are not suns (1974) (24)
- Slow convergence of sequences of linear operators II: Arbitrarily slow convergence (2010) (24)
- Some applications of functional analysis to approximation theory (1966) (24)
- On set-valued metric projections, Hahn-Banach extension maps, and spherical image maps (1973) (23)
- Lower semicontinuity, almost lower semicontinuity, and continuous selections for set-valued mappings (1988) (23)
- On uniform approximation with interpolatory constraints (1968) (22)
- On simultaneous approximation and interpolation which preserves the norm (1969) (22)
- Parametric Optimization and Approximation (1985) (20)
- Constrained best approximation in Hilbert space III. Applications ton-convex functions (1996) (20)
- Accelerating the Convergence of the Method of Alternating Projections Via a Line Search: a Brief Survey (2001) (19)
- Some new continuity concepts for metric projections (1972) (19)
- On single-valuedness of convex set-valued maps (1993) (16)
- Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections (1991) (12)
- Convexity of Chebyshev Sets (2001) (11)
- Dykstra’s Cyclic Projections Algorithm: The Rate of Convergence (1995) (11)
- Dual Cones, Constrained n-Convex Lp-Approximation, and Perfect Splines (1995) (10)
- The Alternating Method von Neumann (1979) (10)
- Approximation by finite rank operators (1981) (10)
- Some Algorithms for Computing Best Approximations from Convex Cones (1975) (9)
- A Generalization of Tyuriemskih's Lethargy Theorem and Some Applications (2013) (9)
- On continuity of metric projections (1980) (9)
- An Exposition of Recent Results on Continuous Metric Selections (1987) (9)
- Lower Semicontinuity Concepts, Continuous Selections, and Set Valued Metric Projections (2002) (9)
- Best approximation in the space of continuous vector-valued functions (1988) (7)
- Minimal extremal subsets of the unit sphere (1972) (7)
- Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey (2011) (7)
- On a problem of T. J. Rivlin in approximation theory (1969) (6)
- Interpolation from a Convex Subset of Hilbert Space: A Survey of Some Recent Results (1995) (6)
- Representers of Linear Functionals, Norm-Attaining Functionals, and Best Approximation by Cones and Linear Varieties in Inner Product Spaces (1982) (5)
- Slow convergence of sequences of linear operators I: Almost arbitrarily slow convergence (2010) (5)
- Best Interpolatory Approximation in Normed Linear Spaces (1996) (3)
- Selections For Metric Projections (1992) (3)
- On Some Geometric Properties of the Unit Sphere (1972) (3)
- Weakly interpolating subspaces (1983) (3)
- Another approximation theoretic characterization of inner product spaces (1978) (3)
- Approximating weak Chebyshev subspaces by Chebyshev subspaces (2003) (2)
- Some suns in L1 (1976) (2)
- Tietze extensions and continuous selections for metric projections (1991) (2)
- Characterizing best isotone approximations in Lp spaces, 1≤p<∞ (2016) (2)
- Best comonotone approximation (1994) (1)
- Some Applications of the Hahn-Banach Separation Theorem (2017) (1)
- Visible Points in Convex Sets and Best Approximation (2012) (1)
- Error of Approximation (2001) (1)
- Parametric optimization and approximation : conference held at the Mathematisches Forschungsinstitut, Oberwolfach, October 16-22, 1983 (1985) (1)
- Simultaneous Interpolation and Norm-Preservation (1985) (1)
- Inner Product Spaces (2018) (0)
- Convergence from approximating subspaces (1981) (0)
- Interpolating subspaces in l1-spaces (1973) (0)
- Constrained Interpolation from a Convex Set (2001) (0)
- Nonlinear Approximation Theory (Dietrich Braess) (1990) (0)
- Generalized Solutions of Linear Equations (2001) (0)
- Existence and Uniqueness of Best Approximations (2001) (0)
- Th. M. Rassias and J. Simsa,FiniteSums Decompositions in Mathematical Analysis (1997) (0)
- The Method of Alternating Projections (2001) (0)
- The Metric Projection (2001) (0)
- STRONG CHIP , NORMALITY , AND LINEAR REGULARITYOF CONVEX (2002) (0)
- Bounded Linear Functionals and Best Approximation from Hyperplanes and Half-Spaces (2001) (0)
- Interpolation and Approximation (2021) (0)
- Which Closed Convex Subsets of an Inner Product Space are Chebyshev (1982) (0)
- Characterization of Best Approximations (2001) (0)
- Best Approximation to an Element of an Inner Product Space from the Range of a Linear Operator over a Polyhedron (0)
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