2006arXiv (Cornell University)Open access

Some Refinements of Discrete Jensen's Inequality and Some of Its Applications

Jamal Rooin

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Abstract

In this paper, using some aspects of convex functions, we refine discrete Jensen's inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting inequalities.

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What this paper is about

In this paper, using some aspects of convex functions, we refine discrete Jensen's inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting inequalities.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, using some aspects of convex functions, we refine discrete Jensen's inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting inequalities.

Key concepts: Jensen's inequality, Inequality, Mathematics, Convex function, Regular polygon, Mathematical economics, Pure mathematics, Applied mathematics

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