Title of article :
Generalized results of majorization inequality via Lidstone s polynomial and newly Green functions
Author/Authors :
Siddique ، Nouman - Govt. College University , Latif ، Naveed - Jubail Industrial College , Pecari ، Josip - University of Zagreb
Abstract :
Generalized results of majorization inequality are obtained by using newly Green functions defined in [N. Mahmood, R. P. Agarwal, S. I. Butt, J. Pečarić, J. Inequal. Appl., 2017 (2017), 17 pages] and Lidstone s polynomial. We find new upper bounds of Grüss and Ostrowski type. We give further results of majorization inequality by making linear functionals constructed on convex functions f ( x ) / x . Some applications are given.
Keywords :
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
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
