Edit Profile (opens in new tab) Metcalf, Frederic T. Compute Distance To: Compute Author ID: metcalf.frederic-t Published as: Metcalf, F. T.; Metcalf, Frederic T. Documents Indexed: 46 Publications since 1962 1 Further Contribution Co-Authors: 18 Co-Authors with 41 Joint Publications 290 Co-Co-Authors all top 5 Co-Authors 4 single-authored 14 Chalmers, Bruce Longworthy 13 Diaz, Joaquin Basilio 6 McLaughlin, Harry W. 3 Taylor, Gerald D. 2 Shekhtman, Boris 1 Aksoy, Asuman Güven 1 Andes, D. K. 1 Beckenbach, Edwin Ford 1 Bownds, John M. 1 de Bruijn, Nicolaas Govert 1 de Pillis, John 1 Diasz, J. B. 1 Fan, Ky 1 Friedman, Avner 1 Goldman, Alan J. 1 Gosselin, Richard P. 1 Karlin, Samuel 1 Leviatan, Dany 1 Lewicki, Grzegorz 1 Littlewood, John Edensor 1 Marcus, Marvin D. 1 Marshall, Albert W. 1 Motzkin, Theodore Samuel 1 Oddson, J. K. 1 Olkin, Ingram 1 Payne, Lawrence Edward 1 Payne, Thomas H. 1 Pólya, George 1 Prophet, Michael P. 1 Proschan, Frank 1 Rogers, Thomas D. 1 Schoenberg, Isaac Jacob 1 Shisha, D. 1 Shisha, Oved 1 Taussky-Todd, Olga 1 Todd, John 1 Weinstein, Alexander 1 Ziegler, Zvi 1 Zlámal, Miloš A. all top 5 Serials 6 Journal of Mathematical Analysis and Applications 5 Proceedings of the American Mathematical Society 4 American Mathematical Monthly 3 Journal of Approximation Theory 2 SIAM Journal on Numerical Analysis 2 Transactions of the American Mathematical Society 2 Bulletin of the American Mathematical Society 1 Archive for Rational Mechanics and Analysis 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Le Matematiche 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal of Operator Theory 1 Journal of Mathematics and Mechanics 1 Journal of Research of the National Bureau of Standards all top 5 Fields 14 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 352 times in 287 Documents Cited by ▼ Year ▼ On the structure of the set of subsequential limit points of successive approximations. Zbl 0161.20103Diaz, J. B.; Metcalf, F. T. 44 1967 Stronger forms of a class of inequalities of G. Polya-G. Szegö and L. V. Kantorovich. Zbl 0129.26904Diaz, J. B.; Metcalf, F. T. 42 1963 The determination of minimal projections and extensions in \(L^ 1\). Zbl 0753.41018Chalmers, B. L.; Metcalf, F. T. 37 1992 On the set of subsequential limit points of successive approximations. Zbl 0174.25904Diaz, J. B.; Metcalf, F. T. 35 1969 A characterization and equations for minimal projections and extensions. Zbl 0827.41016Chalmers, B. L.; Metcalf, F. T. 27 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 0135.34702Diaz, J. B.; Metcalf, F. T. 27 1965 On Gronwall’s inequality. Zbl 0148.28902Chu, C. S.; Metcalf, F. T. 26 1967 Determination of a minimal projection from C[-1,1] onto the quadratics. Zbl 0689.41022Chalmers, B. L.; Metcalf, F. T. 14 1990 On iteration procedures for equations of the first kind, \(Ax = y\), and Picard’s criterion for the existence of a solution. Zbl 0217.43401Diaz, J. B.; Metcalf, F. T. 13 1970 A complementary triangle inequality in Hilbert and Banach spaces. Zbl 0173.41202Diaz, J. B.; Metcalf, F. T. 12 1966 A Bessel-Schwarz inequality for Gramians and related bounds for determinants. Zbl 0168.27901Metcalf, F. T. 10 1965 The cluster set of sequences of successive approximations. Zbl 0203.14703Metcalf, F. T.; Rogers, T. D. 8 1970 Equivalence of certain inequalities complementing those of Cauchy-Schwarz and Hölder. Zbl 0125.03001Diaz, J. B.; Goldman, A. J.; Metcalf, F. T. 6 1964 Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102 6 1967 A functional equation for the Rayleigh quotient for eigenvalues, and some applications. Zbl 0157.21301Diaz, J. B.; Metcalf, F. T. 5 1968 A simple formula showing \(L^ 1\) is a maximal overspace for two- dimensional real spaces. Zbl 0808.46016Chalmers, B. L.; Metcalf, F. T. 4 1992 Remarks on the rank of Hermite-Birkhoff interpolation. Zbl 0304.65008Chalmers, B. L.; Johnson, D. J.; Metcalf, F. T.; Taylor, G. D. 4 1974 An extension of the Nagumo uniqueness theorem. Zbl 0211.39604Bownds, J. M.; Metcalf, F. T. 4 1971 Error measures and their associated means. Zbl 0328.41022Metcalf, F. T. 3 1976 Remark on a recent generalization of the Cauchy-Schwarz inequality. Zbl 0147.31202McLaughlin, H. W.; Metcalf, F. T. 3 1967 An inequality for generalized means. Zbl 0153.38002McLaughlin, H. W.; Metcalf, F. T. 3 1967 The Minkowski and Tchebychef inequalities as functions of the index set. Zbl 0183.05002McLaughlin, H. W.; Metcalf, F. T. 3 1968 On the computation of minimal projections: Millenium report. Zbl 0970.46007Chalmers, B. L.; Metcalf, F. T.; Shekhtman, B. 3 2000 Strong unicity of arbitrary rate. Zbl 0517.41031Chalmers, B. L.; Metcalf, F. T.; Taylor, G. D. 2 1983 In memoriam: Bruce L. Chalmers (1938–2015). Zbl 1338.46004Aksoy, Asuman; De Pillis, John; Leviatan, Dany; Lewicki, Grzegorz; Metcalf, Frederic T.; Prophet, Michael; Shekhtman, Boris; Taylor, G. D. (Jerry) 2 2016 Critical points of the \(n\)-dimensional Khintchine ratio and Rademacher projection norms. Zbl 0705.41031Chalmers, B. L.; Metcalf, F. T. 2 1989 Taylor-like remainder formulas for interpolation by arbitrary linear functionals. Zbl 0299.41003Chalmers, Bruce L.; Metcalf, Frederic T. 2 1974 On the computation of minimal projections from C[0,1] to Psub(n)[0,1]. Zbl 0359.65011Chalmers, B. L.; Metcalf, F. T. 2 1976 An analytic proof of Young’s inequality. Zbl 0195.06302Diasz, J. B.; Metcalf, F. T. 2 1970 Minimal projections and extensions for compact abelian groups. Zbl 0745.41021Chalmers, B. L.; Metcalf, F. T. 1 1989 An asymptotic comparison theorem. Zbl 0488.34024Oddson, J. K.; Metcalf, F. T. 1 1978 Upper and lower bounds for the apsidal angle in the theory of the heavy symmetrical top. Zbl 0123.18703Diaz, J. B.; Metcalf, F. T. 1 1964 On the existence of fixed points in a totally ordered set. Zbl 0236.06001Metcalf, F. T.; Payne, T. H. 1 1972 An integral identity for the Rademacher functions. Zbl 0840.42019Metcalf, F. T. 1 1995 Multiplicative variations lead to the variational equations for minimal projections. Zbl 0507.41025Chalmers, B. L.; Metcalf, F. T. 1 1980 On a result of Hadamard concerning the sign of the precession of a heavy symmetrical top. Zbl 0104.40403Diaz, J. B.; Metcalf, F. T. 1 1962 In memoriam: Bruce L. Chalmers (1938–2015). Zbl 1338.46004Aksoy, 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 0970.46007Chalmers, B. L.; Metcalf, F. T.; Shekhtman, B. 3 2000 An integral identity for the Rademacher functions. Zbl 0840.42019Metcalf, F. T. 1 1995 A characterization and equations for minimal projections and extensions. Zbl 0827.41016Chalmers, B. L.; Metcalf, F. T. 27 1994 The determination of minimal projections and extensions in \(L^ 1\). Zbl 0753.41018Chalmers, B. L.; Metcalf, F. T. 37 1992 A simple formula showing \(L^ 1\) is a maximal overspace for two- dimensional real spaces. Zbl 0808.46016Chalmers, B. L.; Metcalf, F. T. 4 1992 Determination of a minimal projection from C[-1,1] onto the quadratics. Zbl 0689.41022Chalmers, B. L.; Metcalf, F. T. 14 1990 Critical points of the \(n\)-dimensional Khintchine ratio and Rademacher projection norms. Zbl 0705.41031Chalmers, B. L.; Metcalf, F. T. 2 1989 Minimal projections and extensions for compact abelian groups. Zbl 0745.41021Chalmers, B. L.; Metcalf, F. T. 1 1989 Strong unicity of arbitrary rate. Zbl 0517.41031Chalmers, B. L.; Metcalf, F. T.; Taylor, G. D. 2 1983 Multiplicative variations lead to the variational equations for minimal projections. Zbl 0507.41025Chalmers, B. L.; Metcalf, F. T. 1 1980 An asymptotic comparison theorem. Zbl 0488.34024Oddson, J. K.; Metcalf, F. T. 1 1978 Error measures and their associated means. Zbl 0328.41022Metcalf, F. T. 3 1976 On the computation of minimal projections from C[0,1] to Psub(n)[0,1]. Zbl 0359.65011Chalmers, B. L.; Metcalf, F. T. 2 1976 Remarks on the rank of Hermite-Birkhoff interpolation. Zbl 0304.65008Chalmers, B. L.; Johnson, D. J.; Metcalf, F. T.; Taylor, G. D. 4 1974 Taylor-like remainder formulas for interpolation by arbitrary linear functionals. Zbl 0299.41003Chalmers, Bruce L.; Metcalf, Frederic T. 2 1974 On the existence of fixed points in a totally ordered set. Zbl 0236.06001Metcalf, F. T.; Payne, T. H. 1 1972 An extension of the Nagumo uniqueness theorem. Zbl 0211.39604Bownds, 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 0217.43401Diaz, J. B.; Metcalf, F. T. 13 1970 The cluster set of sequences of successive approximations. Zbl 0203.14703Metcalf, F. T.; Rogers, T. D. 8 1970 An analytic proof of Young’s inequality. Zbl 0195.06302Diasz, J. B.; Metcalf, F. T. 2 1970 On the set of subsequential limit points of successive approximations. Zbl 0174.25904Diaz, J. B.; Metcalf, F. T. 35 1969 A functional equation for the Rayleigh quotient for eigenvalues, and some applications. Zbl 0157.21301Diaz, J. B.; Metcalf, F. T. 5 1968 The Minkowski and Tchebychef inequalities as functions of the index set. Zbl 0183.05002McLaughlin, H. W.; Metcalf, F. T. 3 1968 On the structure of the set of subsequential limit points of successive approximations. Zbl 0161.20103Diaz, J. B.; Metcalf, F. T. 44 1967 On Gronwall’s inequality. Zbl 0148.28902Chu, C. S.; Metcalf, F. T. 26 1967 Inequalities. Proceedings of a symposium held at Wright-Patterson Air Force Base, Ohio, August 19–27, 1965. Zbl 0178.00102 6 1967 Remark on a recent generalization of the Cauchy-Schwarz inequality. Zbl 0147.31202McLaughlin, H. W.; Metcalf, F. T. 3 1967 An inequality for generalized means. Zbl 0153.38002McLaughlin, H. W.; Metcalf, F. T. 3 1967 A complementary triangle inequality in Hilbert and Banach spaces. Zbl 0173.41202Diaz, J. B.; Metcalf, F. T. 12 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 0135.34702Diaz, J. B.; Metcalf, F. T. 27 1965 A Bessel-Schwarz inequality for Gramians and related bounds for determinants. Zbl 0168.27901Metcalf, F. T. 10 1965 Equivalence of certain inequalities complementing those of Cauchy-Schwarz and Hölder. Zbl 0125.03001Diaz, 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 0123.18703Diaz, J. B.; Metcalf, F. T. 1 1964 Stronger forms of a class of inequalities of G. Polya-G. Szegö and L. V. Kantorovich. Zbl 0129.26904Diaz, J. B.; Metcalf, F. T. 42 1963 On a result of Hadamard concerning the sign of the precession of a heavy symmetrical top. Zbl 0104.40403Diaz, J. B.; Metcalf, F. T. 1 1962 all cited Publications top 5 cited Publications all top 5 Cited by 326 Authors 20 Chalmers, Bruce Longworthy 15 Lewicki, Grzegorz 14 Dragomir, Sever Silvestru 12 Prophet, Michael P. 9 Skrzypek, Lesław 8 Shekhtman, Boris 5 Metcalf, Frederic T. 5 Yeh, Cheh-Chih 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 Prasad 4 Shukla, Rahul 3 Abbas, Mujahid 3 Aksoy, Asuman Güven 3 Alhevaz, Abdollah 3 Baghipur, Maryam 3 Beg, Ismat 3 Dương Việt Thông 3 Gustafson, Karl Edwin 3 Matvijchuk, K. S. 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 Freeden, Willi 2 Jahanbani, Akbar 2 Khan, Abdul Rahim 2 Kozdęba, Michał 2 Lewandowska, Barbara 2 Minjibir, Ma’aruf Shehu 2 Mitani, Ken-Ichi 2 Moerkotte, Guido 2 Morales Medina, José Roberto 2 Mukhamedov, Farruh Maksutovich 2 Otachel, Zdzisław 2 Petryshyn, Walter Wolodymyr 2 Pirzada, Shariefuddin 2 Popirlan, Cristina 2 Ramane, Harishchandra S. 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 Taylor, Gerald D. 2 Temir, Seyit 2 Whiteman, John Robert 2 Williamson, T. E. jun. 2 Xu, Kexiang 2 Yun, Tianquan 2 Zegeye, Habtu 2 Zhu, Lingjiong 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 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 Basso, Giuliano 1 Beasley, LeRoy B. 1 Belbaki, Rabah 1 Berinde, Vasile 1 Beznoshchenko, N. Ya. 1 Bownds, John M. 1 Brenner, Joël Lee 1 Bullen, Peter S. 1 Butler, Geoffrey J. 1 Cangul, Ismail Naci ...and 226 more Authors all top 5 Cited in 109 Serials 38 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 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 Mediterranean Journal of Mathematics 3 Bulletin of the American Mathematical Society 3 Asian-European Journal of 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 Journal of Applied Mathematics and Computing 2 Journal of Fixed Point Theory and Applications 2 Tbilisi Mathematical Journal 2 Applied General Topology 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 Indian Journal of Pure & Applied Mathematics 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 Mathematical Biology 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 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 Computer Science Journal of Moldova 1 Journal of the Australian Mathematical Society 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Advances in Difference Equations 1 The Australian Journal of Mathematical Analysis and Applications 1 International Journal of Control, I. Series 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Online Journal of Analytic Combinatorics 1 Journal of Mathematical Inequalities 1 European Journal of Pure and Applied Mathematics 1 Advances and Applications in Discrete Mathematics 1 Acta Universitatis Sapientiae. Mathematica 1 Acta Universitatis Sapientiae. Informatica 1 GEM - International Journal on Geomathematics 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Functional Analysis, Approximation and Computation 1 Sankhyā. Series A 1 Afrika Matematika 1 Journal of Mathematical Extension 1 Caspian Journal of Mathematical Sciences 1 Palestine Journal of Mathematics ...and 9 more Serials all top 5 Cited in 37 Fields 105 Operator theory (47-XX) 54 Functional analysis (46-XX) 46 Real functions (26-XX) 42 Approximations and expansions (41-XX) 31 Numerical analysis (65-XX) 25 Combinatorics (05-XX) 20 General topology (54-XX) 15 Integral equations (45-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Ordinary differential equations (34-XX) 10 Partial differential equations (35-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Probability theory and stochastic processes (60-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Biology and other natural sciences (92-XX) 6 Convex and discrete geometry (52-XX) 6 Operations research, mathematical programming (90-XX) 5 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Computer science (68-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-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