Majorization Inequalities via Peano's Representation of Hermite's Polynomial

Autor: N. Latif, N. Siddique, J. Pecaric
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: International Journal of Analysis and Applications, Vol 16, Iss 3, Pp 374-399 (2018)
Druh dokumentu: article
ISSN: 2291-8639
Popis: The Peano's representation of Hermite polynomial and new Green functions are used to construct the identities related to the generalization of majorization type inequalities in discrete as well as continuous case. $\check{C}$eby$\check{s}$ev functional is used to find the bounds for new generalized identities and to develop the Gr$\ddot{u}$ss and Ostrowski type inequalities. Further more, we present exponential convexity together with Cauchy means for linear functionals associated with the obtained inequalities and give some applications.
Databáze: Directory of Open Access Journals