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

Author:

Agarwal Ravi P,Ivelić Bradanović Slavica,Pečarić Josip

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference15 articles.

1. Hardy, GH, Littlewood, JE, Pólya, G: Inequalities, 2nd edn. Cambridge University Press, Cambridge (1952)

2. Pečarić, JE, Proschan, F, Tong, YL: Convex Functions, Partial Orderings, and Statistical Applications. Academic Press, Boston (1992)

3. Fuchs, L: A new proof of an inequality of Hardy, Littlewood and Pólya. Mat. Tidsskr., B 1947, 53-54 (1947)

4. Niezgoda, M: Remarks on Sherman like inequalities for ( α , β ) $(\alpha,\beta )$ -convex functions. Math. Inequal. Appl. 17(4), 1579-1590 (2014)

5. Sherman, S: On a theorem of Hardy, Littlewood, Pólya and Blackwell. Proc. Natl. Acad. Sci. USA 37(1), 826-831 (1957)

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