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Metcalf, Frederic T.

Author ID: metcalf.frederic-t Recent zbMATH articles by "Metcalf, Frederic T."
Published as: Metcalf, F. T.; Metcalf, Frederic T.

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 378 times in 308 Documents Cited by Year
Stronger forms of a class of inequalities of G. Polya-G. Szegö and L. V. Kantorovich. Zbl 0129.26904
Diaz, J. B.; Metcalf, F. T.
51
1963
On the structure of the set of subsequential limit points of successive approximations. Zbl 0161.20103
Diaz, J. B.; Metcalf, F. T.
48
1967
The determination of minimal projections and extensions in \(L^ 1\). Zbl 0753.41018
Chalmers, B. L.; Metcalf, F. T.
39
1992
On the set of subsequential limit points of successive approximations. Zbl 0174.25904
Diaz, J. B.; Metcalf, F. T.
37
1969
On Gronwall’s inequality. Zbl 0148.28902
Chu, C. S.; Metcalf, F. T.
30
1967
A characterization and equations for minimal projections and extensions. Zbl 0827.41016
Chalmers, B. L.; Metcalf, F. T.
29
1994
Complementary inequalities. I: Inequalities complementary to Cauchy’s inequality for sums of real numbers. II: Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals. III: Inequalities complementary to Schwarz’s inequality in Hilbert space. Zbl 0135.34702
Diaz, J. B.; Metcalf, F. T.
27
1965
Determination of a minimal projection from C[-1,1] onto the quadratics. Zbl 0689.41022
Chalmers, B. L.; Metcalf, F. T.
15
1990
A complementary triangle inequality in Hilbert and Banach spaces. Zbl 0173.41202
Diaz, J. B.; Metcalf, F. T.
14
1966
On iteration procedures for equations of the first kind, \(Ax = y\), and Picard’s criterion for the existence of a solution. Zbl 0217.43401
Diaz, J. B.; Metcalf, F. T.
13
1970
A Bessel-Schwarz inequality for Gramians and related bounds for determinants. Zbl 0168.27901
Metcalf, F. T.
10
1965
Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102
8
1967
The cluster set of sequences of successive approximations. Zbl 0203.14703
Metcalf, F. T.; Rogers, T. D.
8
1970
Equivalence of certain inequalities complementing those of Cauchy-Schwarz and Hölder. Zbl 0125.03001
Diaz, J. B.; Goldman, A. J.; Metcalf, F. T.
6
1964
A functional equation for the Rayleigh quotient for eigenvalues, and some applications. Zbl 0157.21301
Diaz, J. B.; Metcalf, F. T.
5
1968
A simple formula showing \(L^ 1\) is a maximal overspace for two- dimensional real spaces. Zbl 0808.46016
Chalmers, B. L.; Metcalf, F. T.
4
1992
Remarks on the rank of Hermite-Birkhoff interpolation. Zbl 0304.65008
Chalmers, B. L.; Johnson, D. J.; Metcalf, F. T.; Taylor, G. D.
4
1974
An extension of the Nagumo uniqueness theorem. Zbl 0211.39604
Bownds, J. M.; Metcalf, F. T.
4
1971
Error measures and their associated means. Zbl 0328.41022
Metcalf, F. T.
3
1976
The Minkowski and Tchebychef inequalities as functions of the index set. Zbl 0183.05002
McLaughlin, H. W.; Metcalf, F. T.
3
1968
Remark on a recent generalization of the Cauchy-Schwarz inequality. Zbl 0147.31202
McLaughlin, H. W.; Metcalf, F. T.
3
1967
An inequality for generalized means. Zbl 0153.38002
McLaughlin, H. W.; Metcalf, F. T.
3
1967
On the computation of minimal projections: Millenium report. Zbl 0970.46007
Chalmers, B. L.; Metcalf, F. T.; Shekhtman, B.
3
2000
Taylor-like remainder formulas for interpolation by arbitrary linear functionals. Zbl 0299.41003
Chalmers, Bruce L.; Metcalf, Frederic T.
2
1974
On the computation of minimal projections from C[0,1] to Psub(n)[0,1]. Zbl 0359.65011
Chalmers, B. L.; Metcalf, F. T.
2
1976
Critical points of the \(n\)-dimensional Khintchine ratio and Rademacher projection norms. Zbl 0705.41031
Chalmers, B. L.; Metcalf, F. T.
2
1989
Strong unicity of arbitrary rate. Zbl 0517.41031
Chalmers, B. L.; Metcalf, F. T.; Taylor, G. D.
2
1983
An analytic proof of Young’s inequality. Zbl 0195.06302
Diasz, J. B.; Metcalf, F. T.
2
1970
In memoriam: Bruce L. Chalmers (1938–2015). Zbl 1338.46004
Aksoy, Asuman; De Pillis, John; Leviatan, Dany; Lewicki, Grzegorz; Metcalf, Frederic T.; Prophet, Michael; Shekhtman, Boris; Taylor, G. D. (Jerry)
2
2016
An integral identity for the Rademacher functions. Zbl 0840.42019
Metcalf, F. T.
1
1995
Minimal projections and extensions for compact abelian groups. Zbl 0745.41021
Chalmers, B. L.; Metcalf, F. T.
1
1989
An asymptotic comparison theorem. Zbl 0488.34024
Oddson, J. K.; Metcalf, F. T.
1
1978
Multiplicative variations lead to the variational equations for minimal projections. Zbl 0507.41025
Chalmers, B. L.; Metcalf, F. T.
1
1980
Upper and lower bounds for the apsidal angle in the theory of the heavy symmetrical top. Zbl 0123.18703
Diaz, J. B.; Metcalf, F. T.
1
1964
On the existence of fixed points in a totally ordered set. Zbl 0236.06001
Metcalf, F. T.; Payne, T. H.
1
1972
On a result of Hadamard concerning the sign of the precession of a heavy symmetrical top. Zbl 0104.40403
Diaz, J. B.; Metcalf, F. T.
1
1962
In memoriam: Bruce L. Chalmers (1938–2015). Zbl 1338.46004
Aksoy, Asuman; De Pillis, John; Leviatan, Dany; Lewicki, Grzegorz; Metcalf, Frederic T.; Prophet, Michael; Shekhtman, Boris; Taylor, G. D. (Jerry)
2
2016
On the computation of minimal projections: Millenium report. Zbl 0970.46007
Chalmers, B. L.; Metcalf, F. T.; Shekhtman, B.
3
2000
An integral identity for the Rademacher functions. Zbl 0840.42019
Metcalf, F. T.
1
1995
A characterization and equations for minimal projections and extensions. Zbl 0827.41016
Chalmers, B. L.; Metcalf, F. T.
29
1994
The determination of minimal projections and extensions in \(L^ 1\). Zbl 0753.41018
Chalmers, B. L.; Metcalf, F. T.
39
1992
A simple formula showing \(L^ 1\) is a maximal overspace for two- dimensional real spaces. Zbl 0808.46016
Chalmers, B. L.; Metcalf, F. T.
4
1992
Determination of a minimal projection from C[-1,1] onto the quadratics. Zbl 0689.41022
Chalmers, B. L.; Metcalf, F. T.
15
1990
Critical points of the \(n\)-dimensional Khintchine ratio and Rademacher projection norms. Zbl 0705.41031
Chalmers, B. L.; Metcalf, F. T.
2
1989
Minimal projections and extensions for compact abelian groups. Zbl 0745.41021
Chalmers, B. L.; Metcalf, F. T.
1
1989
Strong unicity of arbitrary rate. Zbl 0517.41031
Chalmers, B. L.; Metcalf, F. T.; Taylor, G. D.
2
1983
Multiplicative variations lead to the variational equations for minimal projections. Zbl 0507.41025
Chalmers, B. L.; Metcalf, F. T.
1
1980
An asymptotic comparison theorem. Zbl 0488.34024
Oddson, J. K.; Metcalf, F. T.
1
1978
Error measures and their associated means. Zbl 0328.41022
Metcalf, F. T.
3
1976
On the computation of minimal projections from C[0,1] to Psub(n)[0,1]. Zbl 0359.65011
Chalmers, B. L.; Metcalf, F. T.
2
1976
Remarks on the rank of Hermite-Birkhoff interpolation. Zbl 0304.65008
Chalmers, B. L.; Johnson, D. J.; Metcalf, F. T.; Taylor, G. D.
4
1974
Taylor-like remainder formulas for interpolation by arbitrary linear functionals. Zbl 0299.41003
Chalmers, Bruce L.; Metcalf, Frederic T.
2
1974
On the existence of fixed points in a totally ordered set. Zbl 0236.06001
Metcalf, F. T.; Payne, T. H.
1
1972
An extension of the Nagumo uniqueness theorem. Zbl 0211.39604
Bownds, J. M.; Metcalf, F. T.
4
1971
On iteration procedures for equations of the first kind, \(Ax = y\), and Picard’s criterion for the existence of a solution. Zbl 0217.43401
Diaz, J. B.; Metcalf, F. T.
13
1970
The cluster set of sequences of successive approximations. Zbl 0203.14703
Metcalf, F. T.; Rogers, T. D.
8
1970
An analytic proof of Young’s inequality. Zbl 0195.06302
Diasz, J. B.; Metcalf, F. T.
2
1970
On the set of subsequential limit points of successive approximations. Zbl 0174.25904
Diaz, J. B.; Metcalf, F. T.
37
1969
A functional equation for the Rayleigh quotient for eigenvalues, and some applications. Zbl 0157.21301
Diaz, J. B.; Metcalf, F. T.
5
1968
The Minkowski and Tchebychef inequalities as functions of the index set. Zbl 0183.05002
McLaughlin, H. W.; Metcalf, F. T.
3
1968
On the structure of the set of subsequential limit points of successive approximations. Zbl 0161.20103
Diaz, J. B.; Metcalf, F. T.
48
1967
On Gronwall’s inequality. Zbl 0148.28902
Chu, C. S.; Metcalf, F. T.
30
1967
Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102
8
1967
Remark on a recent generalization of the Cauchy-Schwarz inequality. Zbl 0147.31202
McLaughlin, H. W.; Metcalf, F. T.
3
1967
An inequality for generalized means. Zbl 0153.38002
McLaughlin, H. W.; Metcalf, F. T.
3
1967
A complementary triangle inequality in Hilbert and Banach spaces. Zbl 0173.41202
Diaz, J. B.; Metcalf, F. T.
14
1966
Complementary inequalities. I: Inequalities complementary to Cauchy’s inequality for sums of real numbers. II: Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals. III: Inequalities complementary to Schwarz’s inequality in Hilbert space. Zbl 0135.34702
Diaz, J. B.; Metcalf, F. T.
27
1965
A Bessel-Schwarz inequality for Gramians and related bounds for determinants. Zbl 0168.27901
Metcalf, F. T.
10
1965
Equivalence of certain inequalities complementing those of Cauchy-Schwarz and Hölder. Zbl 0125.03001
Diaz, J. B.; Goldman, A. J.; Metcalf, F. T.
6
1964
Upper and lower bounds for the apsidal angle in the theory of the heavy symmetrical top. Zbl 0123.18703
Diaz, J. B.; Metcalf, F. T.
1
1964
Stronger forms of a class of inequalities of G. Polya-G. Szegö and L. V. Kantorovich. Zbl 0129.26904
Diaz, J. B.; Metcalf, F. T.
51
1963
On a result of Hadamard concerning the sign of the precession of a heavy symmetrical top. Zbl 0104.40403
Diaz, J. B.; Metcalf, F. T.
1
1962
all top 5

Cited by 360 Authors

20 Chalmers, Bruce Longworthy
16 Lewicki, Grzegorz
14 Dragomir, Sever Silvestru
12 Prophet, Michael P.
10 Skrzypek, Lesław
8 Shekhtman, Boris
5 Metcalf, Frederic T.
5 Yeh, Cheh-Chih
4 Alhevaz, Abdollah
4 Baghipur, Maryam
4 Beesack, Paul Richard
4 Das, Kinkar Chandra
4 Diaz, Joaquin Basilio
4 Foucart, Simon
4 Hosamani, Sunilkumar M.
4 Llorens-Fuster, Enrique
4 Mărușter, Ștefan
4 Milovanović, Emina I.
4 Milovanović, Igor Ž.
4 Nashed, M. Zuhair
4 Pant, Rajendra
4 Shukla, Rahul
3 Abbas, Mujahid
3 Aksoy, Asuman Güven
3 Beg, Ismat
3 Dương Việt Thông
3 Gustafson, Karl Edwin
3 Jahanbani, Akbar
3 Khan, Abdul Rahim
3 Matvijchuk, K. S.
3 Otachel, Zdzisław
3 Pečarić, Josip
3 Rogers, Thomas D.
3 Rojas, Edixon Manuel
2 Ahner, John F.
2 Alizadeh, Yaser
2 Babu, C. Chitti
2 Beck, Eugen
2 Boregowda, H. S.
2 Castejón, Alberto
2 Dang Van Hieu
2 de Pillis, John
2 Dehici, Abdelkader
2 Delahaye, Jean-Paul
2 Deregowska, Beata
2 Dotson, W. G. jun.
2 Elshenhab, Ahmed M.
2 Freeden, Willi
2 Hashemi, Ebrahim
2 Kozdęba, Michał
2 Lewandowska, Barbara
2 Minjibir, Ma’aruf Shehu
2 Mitani, Kenichi
2 Moerkotte, Guido
2 Morales Medina, José Roberto
2 Mukhamedov, Farruh Maksutovich
2 Paul, Somnath
2 Petryshyn, Walter Wolodymyr
2 Pirzada, Shariefuddin
2 Popirlan, Cristina
2 Ramane, Harishchandra S.
2 Rather, Bilal Ahmad
2 Saburov, Mansoor
2 Saito, Kichisuke
2 Shahzad, Naseer
2 Shehu, Yekini
2 Solomon, Jimmy Lloyd
2 Steidl, Gabriele
2 Stenger, William
2 Suzuki, Tomonari
2 Tarafdar, Enayet U.
2 Taylor, Gerald D.
2 Temir, Seyit
2 Wang, Xingtao
2 Whiteman, John Robert
2 Williamson, T. E. jun.
2 Xu, Kexiang
2 Yun, Tianquan
2 Zegeye, Habtu
2 Zhang, Yunong
2 Zhu, Lingjiong
1 Aamri, Mohamed
1 Abian, Alexander
1 Akhbari, Mohammad Hadi
1 Akinyele, Olusola
1 Akkasriworn, Naknimit
1 Al-Rawashdeh, Ahmad Saleh
1 Ali, Bashir
1 Alzer, Horst
1 Ampadu, Clement Boateng
1 Aouchiche, Mustapha
1 Arrate, Manuel
1 Aujla, Jaspal Singh
1 Awati, Vishwanath B.
1 Babu, A. Chandra
1 Bagdasar, Ovidiu Dumitru
1 Bainov, Drumi Dimitrov
1 Barnard, Roger W.
1 Basarir, Metin
1 Basavanagoud, Bommanahal
...and 260 more Authors
all top 5

Cited in 123 Serials

39 Journal of Mathematical Analysis and Applications
23 Journal of Approximation Theory
13 Proceedings of the American Mathematical Society
12 Numerical Functional Analysis and Optimization
11 Fixed Point Theory and Applications
10 Linear Algebra and its Applications
8 Monatshefte für Mathematik
7 Applied Mathematics and Computation
6 Computers & Mathematics with Applications
6 Journal of Inequalities and Applications
5 Transactions of the American Mathematical Society
4 Bulletin of the Australian Mathematical Society
4 Journal of Computational and Applied Mathematics
4 Journal of Functional Analysis
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Mediterranean Journal of Mathematics
3 Periodica Mathematica Hungarica
3 Rocky Mountain Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Numerische Mathematik
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Filomat
3 Abstract and Applied Analysis
3 Bulletin of the American Mathematical Society
3 Asian-European Journal of Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Linear and Multilinear Algebra
2 Mathematics of Computation
2 Journal of Algebra
2 Journal of Optimization Theory and Applications
2 Journal of Soviet Mathematics
2 Mathematische Zeitschrift
2 Applied Mathematics and Mechanics. (English Edition)
2 Optimization
2 Computer Science Journal of Moldova
2 Journal of Applied Mathematics and Computing
2 The Australian Journal of Mathematical Analysis and Applications
2 Journal of Fixed Point Theory and Applications
2 Tbilisi Mathematical Journal
2 Applied General Topology
2 Palestine Journal of Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Discrete Applied Mathematics
1 International Journal of Engineering Science
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Soviet Applied Mechanics
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Glasgow Mathematical Journal
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Kyungpook Mathematical Journal
1 Mathematische Nachrichten
1 RAIRO. Analyse Numérique
1 Real Analysis Exchange
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Statistics & Probability Letters
1 Operations Research Letters
1 Acta Mathematica Hungarica
1 Journal of Integral Equations and Applications
1 Journal of Applied Mathematics and Stochastic Analysis
1 Numerical Algorithms
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Aequationes Mathematicae
1 Communications in Statistics. Theory and Methods
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 SIAM Journal on Optimization
1 Journal of Nonlinear Science
1 Journal of Mathematical Sciences (New York)
1 Journal of the Egyptian Mathematical Society
1 Fractals
1 Integral Transforms and Special Functions
1 Bernoulli
1 Journal of the Australian Mathematical Society
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 MATCH - Communications in Mathematical and in Computer Chemistry
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Advances in Difference Equations
1 International Journal of Control, I. Series
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Online Journal of Analytic Combinatorics
1 JP Journal of Fixed Point Theory and Applications
1 Journal of Mathematical Inequalities
1 European Journal of Pure and Applied Mathematics
1 Advances and Applications in Discrete Mathematics
1 Discrete Mathematics, Algorithms and Applications
1 Acta Universitatis Sapientiae. Mathematica
...and 23 more Serials
all top 5

Cited in 37 Fields

108 Operator theory (47-XX)
56 Functional analysis (46-XX)
47 Real functions (26-XX)
43 Approximations and expansions (41-XX)
32 Combinatorics (05-XX)
32 Numerical analysis (65-XX)
22 General topology (54-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Integral equations (45-XX)
13 Ordinary differential equations (34-XX)
11 Partial differential equations (35-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Probability theory and stochastic processes (60-XX)
8 Biology and other natural sciences (92-XX)
7 Convex and discrete geometry (52-XX)
7 Operations research, mathematical programming (90-XX)
6 Special functions (33-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Systems theory; control (93-XX)
5 Computer science (68-XX)
4 Difference and functional equations (39-XX)
4 Integral transforms, operational calculus (44-XX)
3 Measure and integration (28-XX)
3 Mechanics of deformable solids (74-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Sequences, series, summability (40-XX)
2 Statistics (62-XX)
2 Fluid mechanics (76-XX)
2 Geophysics (86-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Functions of a complex variable (30-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year