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- Title
Some new Ostrowski type inequalities via Caputo k-fractional derivatives concerning (n + 1)-differentiable generalized relative semi-(r; m, p, q, h<sub>1</sub>, h<sub>2</sub>)-preinvex mappings.
- Authors
Kashuri, Artion; Liko, Rozana; Du, Tingsong
- Abstract
In this article, we first presented some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-( r; m, p, q, h1, h2)-preinvex mappings. And then, a new identity concerning (n + 1)-differentiable mappings defined on m-invex set via Caputo k-fractional derivatives is derived. By using the notion of generalized relative semi- ( r; m, p, q, h1, h2)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type inequalities via Caputo k-fractional derivatives are established. It is pointed out that some new special cases can be deduced from main results of the article.
- Subjects
MATHEMATICAL equivalence; INTEGRAL inequalities; IDENTITIES (Mathematics)
- Publication
Palestine Journal of Mathematics, 2020, Vol 9, Issue 1, p436
- ISSN
2219-5688
- Publication type
Article