Hermite-Hadamard type fractional integral inequalities for generalized beta (r, g)-preinvex functions.

Kashuri, Artion; Liko, Rozana

dc.creator	Kashuri, Artion
dc.creator	Liko, Rozana
dc.date	2017-12-01
dc.date.accessioned	2019-11-14T12:00:34Z
dc.date.available	2019-11-14T12:00:34Z
dc.identifier	https://www.revistaproyecciones.cl/article/view/2544
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/113432
dc.description	In the present paper, a new class of generalized beta (r, g)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized beta (r, g)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for generalized beta (r, g)-preinvex functions via Riemann-Liouville fractional integrals are established. These results not only extend the results appeared in the literature (see [1]), [2]), but also provide new estimates on these types.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	https://www.revistaproyecciones.cl/article/view/2544/2146
dc.rights	Derechos de autor 2017 Proyecciones. Journal of Mathematics	es-ES
dc.rights	https://creativecommons.org/licenses/by-nc/4.0/	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 36 No 4 (2017); 711-726	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 36 Núm. 4 (2017); 711-726	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.subject	Hermite-Hadamard type inequality	en-US
dc.subject	Hölder’s inequality	en-US
dc.subject	Minkowski’s inequality	en-US
dc.subject	Cauchy’s inequality	en-US
dc.subject	Power mean inequality	en-US
dc.subject	Riemann-Liouville fractional integral	en-US
dc.subject	s-convex function in the second sense	en-US
dc.subject	m-invex	en-US
dc.subject	P-function	en-US
dc.title	Hermite-Hadamard type fractional integral inequalities for generalized beta (r, g)-preinvex functions.	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES

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Hermite-Hadamard type fractional integral inequalities for generalized beta (r, g)-preinvex functions.

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