Majorisation inequalities for Stieltjes integrals

DOI10.1016/j.aml.2008.06.009zbMath1160.26313OpenAlexW1980678487MaRDI QIDQ1003887

N. S. Barnett, Sever Silvestru Dragomir, Pietro Cerone

Publication date: 4 March 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: http://vuir.vu.edu.au/17426/1/MTIRSI.pdf

zbMATH Keywords

Jensen's inequalityStieltjes integralmajorisation theory

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (13)

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 ⋮ Error bounds in approximating the Riemann-Stieltjes integral of \(C^{n + 1}\)-class integrands and nonsmooth integrators ⋮ Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators ⋮ Integral inequalities using signed measures corresponding to majorization ⋮ Integral majorization theorem for invex functions ⋮ MAJORIZATION TYPE INEQUALITIES VIA GREEN FUNCTION AND HERMITE'S POLYNOMIAL ⋮ On a refinement of the majorisation type inequality ⋮ Integral majorization type inequalities for the functions in the sense of strong convexity ⋮ Majorization inequalities via Green functions and Fink's identity with applications to Shannon entropy ⋮ Generalization of majorization theorem via Taylor's formula ⋮ Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case

Cites Work

• Convex functions, partial orderings, and statistical applications
• Analytic Inequalities
• Inequalities: theory of majorization and its applications
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