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Generalizations of Sherman's inequality by Lidstone's interpolating polynomial (CROSBI ID 225484)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Agarwal, Ravi P. ; Ivelić Bradanović, Slavica ; Pečarić, Josip Generalizations of Sherman's inequality by Lidstone's interpolating polynomial // Journal of inequalities and applications, 2016 (2016), 6-1-6-18. doi: 10.1186/s13660-015-0935-6

Podaci o odgovornosti

Agarwal, Ravi P. ; Ivelić Bradanović, Slavica ; Pečarić, Josip

engleski

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

In majorization theory, the well known Majorization theorem plays a very important role. More general result is obtained by S. Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone's interpolating polynomials and Čebyšev functional. Using obtained results, we generate new familly of exponentially convex functions. The outcome are some new classes of two-parameter Cauchy-type means.

majorization ; n-convexity ; Schur-convexity ; Sherman's theorem ; Lidstone interpolating polynomial ; Čebyšev functional ; Grüss type inequalities ; Ostrowsky-type inequalities ; exponentially convex functions ; log-convex functions ; means

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Podaci o izdanju

2016

2016.

6-1-6-18

objavljeno

1029-242X

10.1186/s13660-015-0935-6

Povezanost rada

Matematika

Poveznice
Indeksiranost