The Maximum Modulus Theorem

The maximum Modulus Theorem expressing one of the basic properties of the modulus of analytic function. The purpose of this paper is to present some variants of the maximum modulus theorem and present the application of maximum modulus theorem. The convex functions form a special class of function, defined on convex subset of the real line (that is intervals), and having the geometric property. Their importance in varies fields of analysis is steadily growing. We are also concerned with two interesting themes, “convexity and continuity” and “convexity and differentiability

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