Generalizations of Steffensen's inequality via n weight functions

Autor: Aglić Aljinović, Andrea, Pečarić, Josip, Perušić Pribanić, Anamarija
Přispěvatelé: Celakoska-Jordanova, Vesna
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Popis: 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.
Databáze: OpenAIRE