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Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial (CROSBI ID 640112)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Agarwal, Ravi P. ; Ivelić Bradanović, Slavica ; Pečarić, Josip Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial // 4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015 / Tosun, Murat (ur.). 2015. str. 305-305

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

Povezanost rada

Matematika