منابع مشابه
A Sharp Inequality of Ostrowski-grüss Type
The main purpose of this paper is to use a Grüss type inequality for RiemannStieltjes integrals to obtain a sharp integral inequality of Ostrowski-Grüss type for functions whose first derivative are functions of Lipschitizian type and precisely characterize the functions for which equality holds.
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Using a variant of Grüss inequality, to give a new proof of a well known result on Ostrowski-Grüss type inequalities and sharpness of this inequality is obtained. Moreover, a new general sharp Ostrowski-Grüss type inequality is given.
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A new general Ostrowski type inequality for functions whose (n − 1)th derivatives are continuous functions of bounded variation is established. Some special cases are discussed.
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(b− a)‖f ‖∞. (1) The inequality is sharp in the sense that the constant 14 cannot be replaced by a smaller one. For some extensions, generalizations and similar results, see [6, 9, 10, 11, 13, 14] and references therein. The development of the theory of time scales was initiated by Hilger [7] in 1988 as a theory capable to contain both difference and differential calculus in a consistent way. S...
متن کاملA new generalized Ostrowski Grüss type inequality and applications
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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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2010
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972710001826