Popoviciu type inequalities for n-convex functions via extension of Montgomery identity

Autor: Khan Asif R., Pečarić Josip, Praljak Marjan
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 24, Iss 3, Pp 161-188 (2016)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.1515/auom-2016-0053
Popis: Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski-type bounds for the integral remainders of identities associated with the obtained inequalities.
Databáze: Directory of Open Access Journals