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Artion Kashuri,Rozana Liko,Muhammad Adil Khan,Arshad Iqbal 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.2
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 twice differentiable mappings defined on m-invex set via conformable fractional integrals 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 Hermite-Hadamard type inequalities via conformable fractional integrals are established. It is pointed out that some new special cases can be deduced from main results of the article.
On weighted generalization of opial type inequalities in two variables
Huseyin Budak,Mehmet Zeki Sarikaya,Artion Kashuri 강원경기수학회 2020 한국수학논문집 Vol.28 No.4
In this paper, we establish some weighted generalization of Opial type inequalities in two independent variables for two functions. We also obtain weighted Opial type inequalities by using $p$-norms. Special cases of our results reduce to the inequalities in earlier study.