Majorization Type Inequalities Via Green Function and Hermite's Polynomial  

Oleh:

Khan, M. Adil ; Latif, N. ; Pecaric, J.

Jenis: Article from Journal - ilmiah nasional - terakreditasi DIKTI
Dalam koleksi: Journal of the Indonesian Mathematical Society vol. 22 no. 1 (Apr. 2016), page 1-25.
Topik: Majorization theorem; Hermite's interpolating polynomial; (m; n m) interpolating polynomial; two-point Taylor interpolating polynomial;  Cebysev functional; nexponentially convex function; mean value theorems; Sto- larsky type means
Fulltext: 251-621-1-PB.pdf (450.06KB)

Isi artikel

The Hermite polynomial and Green function are used to construct the identities related to majorization type inequalities for convex function. By using  Cebysev functional the bounds for the new identities are found to develop the Gruss and Ostrowski type inequalities. Further more exponential convexity together with Cauchy means is presented for linear functionals associated with the obtained inequalities.

Opini Anda

Klik untuk menuliskan opini Anda tentang koleksi ini!

Kembali