Search citation statements
Paper Sections
Select...
4
1
Citation Types
0
6
0
Year Published
2013
2015
Publication Types
Select...
4
Relationship
0
4
Authors
Journals
Cited by 8 publications
(6 citation statements)
References 3 publications
0
6
0
“…provided that f ′ (t) ≤ β(t) ∀t ∈ [a, b]. Now, combining two latter results (19) and (20) leads us to inequality (18).…”
Section: Applications In Numerical Quadrature Rulesmentioning
confidence: 73%
“…provided that f ′ (t) ≤ β(t) ∀t ∈ [a, b]. Now, combining two latter results (19) and (20) leads us to inequality (18).…”
Section: Applications In Numerical Quadrature Rulesmentioning
confidence: 73%
“…For various generalizations, refinements and related Ostrowski type inequalities for functions of one or several variables one may refer to the monograph [7] and the references therein. See also [1,8,11,15] and [13,14,16,19] in this regard. Moreover, the Ostrowski inequality has an important role in numerical quadrature rules [9,12].…”
Section: Introductionmentioning
confidence: 99%
“…These inequalities have been widely studied by many authors (see e.g. [1,[4][5][6][7]). For example, it has been proved by Matić [4]: if f ðnÀ1Þ is absolutely continuous and satisfies c n 6 f ðnÞ ðtÞ 6 C n a.e.…”
Section: Introductionmentioning
confidence: 99%
“…In order to extend the classical Ostrowski's inequality for di¤erentiable functions with bounded derivatives to the larger class of functions of bounded variation, the author obtained in 1999 (see [17] or the RGMIA preprint version of [19]) the following result for which the constant 1 2 is also sharp. For recent related results, see [1]- [4], [6]- [10], [13]- [15], [26]- [30] and [32]- [44]. then V is also Lipschitzian with the same constant.…”
Section: Introductionmentioning
confidence: 99%
scite is a Brooklyn-based startup 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 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.