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Interpolations of Jensen's Integral Inequality

Sever S Dragomir, Charles Pearce, Josep Pečarić

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Abstract

Weighted and unweighted interpolations of general order are given for Jensen’s integral inequality. Various upper–bound estimates are made for the differences between the interpolates and some convergence results derived. The results generalise and subsume a body of earlier work and employ streamlined proofs.

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Weighted and unweighted interpolations of general order are given for Jensen’s integral inequality. Various upper–bound estimates are made for the differences between the interpolates and some convergence results derived. The results generalise and subsume a body of earlier work and employ streamlined proofs.

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Available abstract

Weighted and unweighted interpolations of general order are given for Jensen’s integral inequality. Various upper–bound estimates are made for the differences between the interpolates and some convergence results derived. The results generalise and subsume a body of earlier work and employ streamlined proofs.

Key concepts: Mathematics, Jensen's inequality, Calculus (dental), Convergence (economics), Mathematical proof, Inequality, Upper and lower bounds, Kantorovich inequality

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