engleski

Generalizations of Steffensen's inequality via n weight functions

New generalizations of Steffensen's inequality are obtained by means of weighted Montgomery identity with n different weight functions. Instead for a nondecreasing (1-convex) function our generalization hold for a n-convex function. Further, functionals associated to these new generalizations are observed and used to generate n exponentially and exponentially convex functions as well as to obtain new Stolarsky type means related to these functionals.

Steensen's inequality; Montgomery identity; n-exponentially convex function.

nije evidentirano