On a refinement of the majorisation type inequality

DOI10.1515/dema-2013-0295zbMath1223.26021OpenAlexW1001498786MaRDI QIDQ3019049

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Publication date: 27 July 2011

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0295

zbMATH Keywords

convex functionlog-convexityCauchy means

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (10)

Difference equations related to majorization theorems via Montgomery identity and Green's functions with application to the Shannon entropy ⋮ Some majorization integral inequalities for functions defined on rectangles ⋮ Synchronous sequences and inequalities for convex functions ⋮ On Jensen’s type inequalities via generalized majorization inequalities ⋮ New versions of uniformly convex functions via quadratic complete homogeneous symmetric polynomials ⋮ MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL ⋮ A note on the positivity of the even degree complete homogeneous symmetric polynomials ⋮ Hardy-Littlewood-Pólya-type theorems for invex functions ⋮ Majorizatiuon and Zipf-Mandelbrot law ⋮ Majorization inequalities via Green functions and Fink's identity with applications to Shannon entropy

Cites Work

• Majorisation inequalities for Stieltjes integrals
• On logarithmic convexity for power sums and related results. II.
• Convex functions, partial orderings, and statistical applications
• On logarithmic convexity for differences of power means
• Inequalities: theory of majorization and its applications

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