General Inequalities

  • Palaniappan Kannappan
Part of the Springer Monographs in Mathematics book series (SMM)


This chapter is devoted to functional inequalities. Functional inequalities occur in several fields, such as information theory, inner product spaces, geometry, complex analysis, trigonometry, and Cauchy, gamma, and beta equations. Classical A.M. = G.M., logarithmic inequality, multiplicative inequality, trigonometric functional inequality, parallelogram identity, quadratic inequality, inequalities for the gamma and beta functions, Simpson’s inequality, inequalities from information theory and mixed theory, and reproducing scoring systems are treated.


Entire Function Beta Function Functional Inequality General Inequality Arbitrary Real Constant 
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Copyright information

© Springer-Verlag US 2009

Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of WaterlooWaterloo ONCanada

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