A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
“…As de…ned in [34], consider the kernel p : [a; b] 2 ! R given by p(x; t) = ] and the following identity holds:…”
Section: Resultsmentioning
confidence: 99%
“…In [28,34,81], the quadrature problem, in particular, the investigation of error In this section, we present an approach similar to that of Ujevic's [99] to present some improvements and generalizations in this context.…”
“…As de…ned in [34], consider the kernel p : [a; b] 2 ! R given by p(x; t) = ] and the following identity holds:…”
Section: Resultsmentioning
confidence: 99%
“…In [28,34,81], the quadrature problem, in particular, the investigation of error In this section, we present an approach similar to that of Ujevic's [99] to present some improvements and generalizations in this context.…”
Abstract. We establish an Ostrowski type inequality for mappings whose second derivatives are bounded, then some results of this inequality that are related to previous works are given. Finally, some applications of these inequalities in numerical integration and for special means are provided.
“…The analysis used in the proofs is based on the integral identity proved in [3] and provide new estimates on these types of inequalities. Our result in special case yield the inequalities given in Theorem 2 and Theorem 3.…”
Abstract. In this short note, some new inequalities of Ostrowski type involving two functions and their derivatives for mapping whose derivations belong to L p [a, 6], ρ > 1 are established.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.