Some Basic Inequalities

  • Richard M. Meyer
Part of the Universitext book series (UTX)


For purposes of problem-solving in Applied Mathematics, an appropriate inequality may be as valuable as, or a workable substitute for, an exact relationship. There are, of course, many different types of inequalities, some very general, others highly specialized. Some inequalities involve sequences or series of real or complex numbers, some involve integrals, others involve determinants of matrices, and so on.


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References to Additional and Related Material: Section 20

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    Beckenbach, E., “An Introduction to Inequalities”, Random House, New York (1961).zbMATHGoogle Scholar
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    Beckenbach, E. and R. Bellman, “Inequalities”, Springer-Verlag, N.Y. (1971).zbMATHGoogle Scholar
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    Hardy, G. and J. Littlewood, “Inequalities”, Cambridge University Press, ( 1934, 1952 ).Google Scholar
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    Hille, E., “Analytic Function Theory”, Vols. I, II, Ginn and Co., Boston, New York ( 1959, 1962 ).Google Scholar
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    Kazarinoff, N., “Analytic Inequalities”, Holt, Reinhart and Winston, Inc., New York (1961).Google Scholar
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    Marcus, M. and H. Minc, “A Survey of Matrix Theory and Matrix Inequalities”, Allyn-Bacon, Inc., Boston (1964).zbMATHGoogle Scholar
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    Mitrinovie, D., “Analytic Inequalities”, Springer-Verlag, Berlin, (1970).Google Scholar
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    Pólya, G. and G. SzegB, “Isoperimetric Inequalities in Mathematical Physics”, Princeton University Press (1951).zbMATHGoogle Scholar
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    Wilf, H., “Finite Sections of Some Classical Inequalities”, Springer-Verlag, New York (1970).zbMATHGoogle Scholar
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    Whittaker, E. and G. Watson, “A Course in Modern Analysis”, Cambridge University Press (1952).Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Richard M. Meyer
    • 1
  1. 1.Niagara University, College of Arts and SciencesNiagara UniversityUSA

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