Time scale versions of the Ostrowski-Grüss type inequality with a parameter function
نویسندگان
چکیده
منابع مشابه
An Ostrowski-Grüss type inequality on time scales
for all x ∈ [a, b]. This inequality is a connection between the Ostrowski inequality [12] and the Grüss inequality [13]. It can be applied to bound some special mean and some numerical quadrature rules. For other related results on the similar integral inequalities please see the papers [6, 10, 11, 14] and the references therein. The aim of this paper is to extend a generalizations of Ostrowski...
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Two Ostrowski-Grüss type inequalities for k points with a parameter [Formula: see text] are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points. Many new interesting inequalities can be derived as special cases of our results by considering different values of λ and [Formula: see text]. In addition, we app...
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Integration with weight functions is used in countless mathematical problems such as: approximation theory and spectral analysis, statistical analysis and the theory of distributions. The aim of this paper is to establish a new inequality using weight function which generalizes the inequalities of Barnett et al. in 2001 and Rafiq et al. in 2006. We also discuss some other interesting inequaliti...
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This is the fifth and last in our series of notes concerning some classical inequalities such as the Ostrowski, Simpson, Iyengar, and Ostrowski–Grüss inequalities in R. In the last note, we propose an improvement of the Ostrowski–Grüss inequality which involves 3n knots where n = 1 is an arbitrary numbers. More precisely, suppose that fxkgk1⁄41 1⁄20;1 ; fykg n k1⁄41 1⁄20;1 , and fakg n k1⁄41 1⁄...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2018
ISSN: 1846-579X
DOI: 10.7153/jmi-2018-12-39