Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial (CROSBI ID 640112)
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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 prilogu
305-305.
2015.
objavljeno
Podaci o matičnoj publikaciji
4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015
Tosun, Murat
Podaci o skupu
4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015
predavanje
31.08.2015-03.09.2015
Atena, Grčka