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2011•Abstract and Applied AnalysisOpen access

Refinements of the Lower Bounds of the Jensen Functional

Iva Franjić, Sadia Khalid, Josip E. Pečarić

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Abstract

The lower bounds of the functional defined as the difference of the right‐hand and the left‐hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.

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The lower bounds of the functional defined as the difference of the right‐hand and the left‐hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.

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Available abstract

The lower bounds of the functional defined as the difference of the right‐hand and the left‐hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.

Key concepts: Mathematics, Jensen's inequality, Majorization, Pure mathematics, Combinatorics, Calculus (dental), Convex analysis, Regular polygon

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