Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial

Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial

Abstract In majorization theory, the well-known majorization theorem plays a very important role. A more general result was obtained by Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone’s interpolating polynomials and the Čebyšev functi...

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Bibliographic Details
Main Authors: Ravi P Agarwal, Slavica Ivelić Bradanović, Josip Pečarić
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
majorization
n-convexity
Schur-convexity
Sherman’s theorem
Lidstone interpolating polynomial
Čebyšev functional
Online Access:http://link.springer.com/article/10.1186/s13660-015-0935-6

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