engleski

Generalized results of Majorization inequality via Lidstone's polynomial and newly Green function

Generalized results of majorization inequality are obtained by using newly Green functions defined in [N. Mahmood, R. P. Agarwal, S. I. Butt, J. Pecari ˇ c, J. Inequal. Appl., ´ 2017 (2017), 17 pages] and Lidstone’s polynomial. We find new upper bounds of Gruss and Ostrowski type. We give further results of majorization inequality by making linear functionals constructed on ¨ convex functions. Some applications are given.

Classical majorization theorem ; Fuchs’s thorem ; Lidstone’s interpolating polynomial ; Green Function for ’two point right focal’ problem ; Cebysev functional ; Gruss type upper bounds ; Ostrowski-type bounds ; convex function f(x)/x ; n-exponentially convex function ; mean value theorems ; Stolarsky type means

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