Abstract
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.
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More From: Математички билтен/BULLETIN MATHÉMATIQUE DE LA SOCIÉTÉ DES MATHÉMATICIENS DE LA RÉPUBLIQUE MACÉDOINE
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