Weighted majorization theorems via generalization of Taylor's formula

DOI10.1186/s13660-015-0710-8zbMath1334.26038OpenAlexW1845208907WikidataQ59431091 ScholiaQ59431091MaRDI QIDQ264839

Asif R. Khan, Andrea Aglić Aljinović, Josip E. Pečarić

Publication date: 1 April 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0710-8

zbMATH Keywords

Taylor's formulaChebyshev functionalmajorization theorem

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Related Items (3)

Weighted majorization inequalities for \(n\)-convex functions via extension of Montgomery identity using Green function ⋮ On Jensen’s type inequalities via generalized majorization inequalities ⋮ Jensen-type inequalities, Montgomery identity and higher-order convexity

Cites Work

• Exponential convexity for majorization
• On some inequalities for functions with nondecreasing increments
• Convex functions, partial orderings, and statistical applications
• Popoviciu type characterization of positivity of sums and integrals for convex functions of higher order
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Inequalities: theory of majorization and its applications
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