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2020•Journal of Mathematics and Computer ScienceOpen access

The Jensen's inequality and functional form of Jensen's inequality for 3-convex functions at a point

Yu Ming Chu, Imran Abbas Baloch, Absar Ul Haq, Manuel De la Sen

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Abstract

In this paper, we give the refinement of extension of Jensen's inequality to affine combinations. Furthermore, we present a functional form of Jensen's inequality for continuous 3-convex functions at a point of one variable.

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What this paper is about

In this paper, we give the refinement of extension of Jensen's inequality to affine combinations. Furthermore, we present a functional form of Jensen's inequality for continuous 3-convex functions at a point of one variable.

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Available abstract

In this paper, we give the refinement of extension of Jensen's inequality to affine combinations. Furthermore, we present a functional form of Jensen's inequality for continuous 3-convex functions at a point of one variable.

Key concepts: Jensen's inequality, Inequality, Mathematics, Convex function, Log sum inequality, Kantorovich inequality, Regular polygon, Inequality of arithmetic and geometric means

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