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A Generalized Extension of the Hadamard-type Inequality for a Convex Function Defined on the Minimum Modulus of Integral Functions
並列摘要
In this study we extend the Hadamard's type inequalities for convex functions defined on the minimum modulus of integral functions in complex field. Firstly, using the Principal of minimum modulus theorem we derive that m (r) is continuous and decreasing function in R^+. Secondly, we introduce a function t (r) and derived that t (r) and lnt (r) are continuous and convex in R+. Finally we derive two inequalities analogous to well known Hadamard's inequality by using elementary analysis.
延伸閱讀
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