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.
KeywordsEntire Function Beta Function Functional Inequality General Inequality Arbitrary Real Constant
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