Cauchy–Schwarz inequality (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Cauchy–Schwarz inequality" in English language version.

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17books.google.com

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5doi.org

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3semanticscholar.org

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2ghostarchive.org

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1st-andrews.ac.uk

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1encyclopediaofmath.org

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1wwu.edu

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1clarku.edu

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artofproblemsolving.com

Callebaut's inequality. Entry in the AoPS Wiki.

arxiv.org

Moslehian, M.S.; Matharu, J.S.; Aujla, J.S. (2011). "Non-commutative Callebaut inequality". Linear Algebra and Its Applications. 436 (9): 3347–3353. arXiv:1112.3003. doi:10.1016/j.laa.2011.11.024. S2CID 119592971.

books.google.com

Hunter, John K.; Nachtergaele, Bruno (2001). Applied Analysis. World Scientific. ISBN 981-02-4191-7.
Bachmann, George; Narici, Lawrence; Beckenstein, Edward (2012-12-06). Fourier and Wavelet Analysis. Springer Science & Business Media. p. 14. ISBN 9781461205050.
Axler, Sheldon (2015). Linear Algebra Done Right, 3rd Ed. Springer International Publishing. p. 172. ISBN 978-3-319-11079-0. This inequality is an equality if and only if one of u, v is a scalar multiple of the other.
Bachman, George; Narici, Lawrence (2012-09-26). Functional Analysis. Courier Corporation. p. 141. ISBN 9780486136554.
Swartz, Charles (1994-02-21). Measure, Integration and Function Spaces. World Scientific. p. 236. ISBN 9789814502511.
Ricardo, Henry (2009-10-21). A Modern Introduction to Linear Algebra. CRC Press. p. 18. ISBN 9781439894613.
Banerjee, Sudipto; Roy, Anindya (2014-06-06). Linear Algebra and Matrix Analysis for Statistics. CRC Press. p. 181. ISBN 9781482248241.
Valenza, Robert J. (2012-12-06). Linear Algebra: An Introduction to Abstract Mathematics. Springer Science & Business Media. p. 146. ISBN 9781461209010.
Constantin, Adrian (2016-05-21). Fourier Analysis with Applications. Cambridge University Press. p. 74. ISBN 9781107044104.
Mukhopadhyay, Nitis (2000-03-22). Probability and Statistical Inference. CRC Press. p. 150. ISBN 9780824703790.
Keener, Robert W. (2010-09-08). Theoretical Statistics: Topics for a Core Course. Springer Science & Business Media. p. 71. ISBN 9780387938394.
Aliprantis, Charalambos D.; Border, Kim C. (2007-05-02). Infinite Dimensional Analysis: A Hitchhiker's Guide. Springer Science & Business Media. ISBN 9783540326960.
Faria, Edson de; Melo, Welington de (2010-08-12). Mathematical Aspects of Quantum Field Theory. Cambridge University Press. p. 273. ISBN 9781139489805.
Lin, Huaxin (2001-01-01). An Introduction to the Classification of Amenable C*-algebras. World Scientific. p. 27. ISBN 9789812799883.
Arveson, W. (2012-12-06). An Invitation to C*-Algebras. Springer Science & Business Media. p. 28. ISBN 9781461263715.
Størmer, Erling (2012-12-13). Positive Linear Maps of Operator Algebras. Springer Monographs in Mathematics. Springer Science & Business Media. ISBN 9783642343698.
Paulsen, Vern (2002). Completely Bounded Maps and Operator Algebras. Cambridge Studies in Advanced Mathematics. Vol. 78. Cambridge University Press. p. 40. ISBN 9780521816694.

clarku.edu

mathcs.clarku.edu

Joyce, David E. "Cauchy's inequality" (PDF). Department of Mathematics and Computer Science. Clark University. Archived (PDF) from the original on 2022-10-09.

doi.org

Kadison, Richard V. (1952-01-01). "A Generalized Schwarz Inequality and Algebraic Invariants for Operator Algebras". Annals of Mathematics. 56 (3): 494–503. doi:10.2307/1969657. JSTOR 1969657.
Callebaut, D.K. (1965). "Generalization of the Cauchy–Schwarz inequality". J. Math. Anal. Appl. 12 (3): 491–494. doi:10.1016/0022-247X(65)90016-8.
Moslehian, M.S.; Matharu, J.S.; Aujla, J.S. (2011). "Non-commutative Callebaut inequality". Linear Algebra and Its Applications. 436 (9): 3347–3353. arXiv:1112.3003. doi:10.1016/j.laa.2011.11.024. S2CID 119592971.
Liu, Shuangzhe; Neudecker, Heinz (1999). "A survey of Cauchy–Schwarz and Kantorovich-type matrix inequalities". Statistical Papers. 40: 55–73. doi:10.1007/BF02927110. S2CID 122719088.
Liu, Shuangzhe; Trenkler, Götz; Kollo, Tõnu; von Rosen, Dietrich; Baksalary, Oskar Maria (2023). "Professor Heinz Neudecker and matrix differential calculus". Statistical Papers. 65 (4): 2605–2639. doi:10.1007/s00362-023-01499-w. S2CID 263661094.

encyclopediaofmath.org

Bityutskov, V. I. (2001) [1994], "Bunyakovskii inequality", Encyclopedia of Mathematics, EMS Press

ghostarchive.org

Joyce, David E. "Cauchy's inequality" (PDF). Department of Mathematics and Computer Science. Clark University. Archived (PDF) from the original on 2022-10-09.
Wu, Hui-Hua; Wu, Shanhe (April 2009). "Various proofs of the Cauchy–Schwarz inequality" (PDF). Octogon Mathematical Magazine. 17 (1): 221–229. ISBN 978-973-88255-5-0. ISSN 1222-5657. Archived (PDF) from the original on 2022-10-09. Retrieved 18 May 2016.

jstor.org

Kadison, Richard V. (1952-01-01). "A Generalized Schwarz Inequality and Algebraic Invariants for Operator Algebras". Annals of Mathematics. 56 (3): 494–503. doi:10.2307/1969657. JSTOR 1969657.

semanticscholar.org

api.semanticscholar.org

Moslehian, M.S.; Matharu, J.S.; Aujla, J.S. (2011). "Non-commutative Callebaut inequality". Linear Algebra and Its Applications. 436 (9): 3347–3353. arXiv:1112.3003. doi:10.1016/j.laa.2011.11.024. S2CID 119592971.
Liu, Shuangzhe; Neudecker, Heinz (1999). "A survey of Cauchy–Schwarz and Kantorovich-type matrix inequalities". Statistical Papers. 40: 55–73. doi:10.1007/BF02927110. S2CID 122719088.
Liu, Shuangzhe; Trenkler, Götz; Kollo, Tõnu; von Rosen, Dietrich; Baksalary, Oskar Maria (2023). "Professor Heinz Neudecker and matrix differential calculus". Statistical Papers. 65 (4): 2605–2639. doi:10.1007/s00362-023-01499-w. S2CID 263661094.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor, J.J.; Robertson, E.F. "Hermann Amandus Schwarz". University of St Andrews, Scotland.

uni-miskolc.hu

Wu, Hui-Hua; Wu, Shanhe (April 2009). "Various proofs of the Cauchy–Schwarz inequality" (PDF). Octogon Mathematical Magazine. 17 (1): 221–229. ISBN 978-973-88255-5-0. ISSN 1222-5657. Archived (PDF) from the original on 2022-10-09. Retrieved 18 May 2016.

upenn.edu

www-stat.wharton.upenn.edu

Steele, J. Michael (2004). The Cauchy–Schwarz Master Class: an Introduction to the Art of Mathematical Inequalities. The Mathematical Association of America. p. 1. ISBN 978-0521546775. ...there is no doubt that this is one of the most widely used and most important inequalities in all of mathematics.

worldcat.org

search.worldcat.org

Wu, Hui-Hua; Wu, Shanhe (April 2009). "Various proofs of the Cauchy–Schwarz inequality" (PDF). Octogon Mathematical Magazine. 17 (1): 221–229. ISBN 978-973-88255-5-0. ISSN 1222-5657. Archived (PDF) from the original on 2022-10-09. Retrieved 18 May 2016.

wwu.edu

Ćurgus, Branko. "Cauchy-Bunyakovsky-Schwarz inequality". Department of Mathematics. Western Washington University.