Generalizations of Sherman's inequality by Lidstone's interpolating polynomial (CROSBI ID 225484)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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