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

Autor:	Latif, naveed, Siddique, Nouman, Pečarić, Josip
Rok vydání:	2018
Předmět:	classical majorization theorem Fuchs’s thorem Peano’s representation of Hermite’s polynomial Green function for ’two point right focal’ problem Cˇebyˇsev functional Gr¨uss type upper bounds Ostrowski-type bounds n-exponentially convex function mean value theorems Stolarsky type means
Zdroj:	International Journal of Analysis and Applications.
ISSN:	2291-8639
DOI:	10.28924/2291-8639-16-2018-374
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. Cˇebyˇsev functional is used to find the bounds for new generalized identities and to develop the Gr¨uss 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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6928a746bc9a69c5dec0e146b49a2d6 https://doi.org/10.28924/2291-8639-16-2018-374 Zobrazit plný text záznamu