On convex functions and related inequalities
Parvaneh Vaziri, Hadi Khodabakhshian, Rahim Safshekan
Abstract
Open-access reader
Parvaneh Vaziri, Hadi Khodabakhshian, Rahim Safshekan
Abstract
Open-access reader
The main result of this paper is to give refinement and reverse the celebrated Jensen inequality. We directly apply our results to establish several weighted arithmetic-geometric mean inequality. We also present a stronger estimate for the first inequality in the Hermite-Hadamard inequality.
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The main result of this paper is to give refinement and reverse the celebrated Jensen inequality. We directly apply our results to establish several weighted arithmetic-geometric mean inequality. We also present a stronger estimate for the first inequality in the Hermite-Hadamard inequality.
Key concepts: Mathematics, Inequality of arithmetic and geometric means, Inequality, Jensen's inequality, Convex function, Regular polygon, Young's inequality, Hermite polynomials