Results 81 to 90 of about 163 (133)
Ostrowski's inequality for vector-valued functions and applications
, 2002 In this paper, we obtain some Ostrowski type inequalities for vector-valued functions which both generalise and improve the scalar case and show that the midpoint inequality is the best possible inequality in the class.
N.S. Barnett +7 more
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, 1998 An inequality of Ostrowski's type for a random variable whose probability density function is in L∞ [a,b] in terms of the cumulative distribution function and expectation is given.
Dragomir, Sever S, Barnett, Neil S
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On inequality of Ostrowski's type for mapping of bounded variation
, 2012 博士首先第一章，先介紹Ostrowski不等式令 f: [a，b] → R 在 [a，b] 上是一個有界變分的函數。則下列不等式 |∫_a^b▒〖f(x) dx-(b-a)f(x)〗|≤[1/2 (b-a)+|x-(a+b)/2|] V_a^b (f) 對於每一個 x 在 (a，b)上都成立，這裡的 V_a^b (f) 是 f 在 [a,b] 上的全變分。 第二章，我們介紹一些已建立有關於Ostrowski型的不等式。 第三章，我們要展示我們所建立的Ostrowski不等式。 第四章 ...
周義銘; Chou, Yi-Ming
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New stopping criteria for iterative root finding. [PDF]
R Soc Open Sci, 2014 Nikolajsen JL.
europepmc +1 more source
High order Ostrowski type inequalities
Applied Mathematics Letters, 2007 By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
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Midpoint Type Rules from an Inequalities Point of View
, 1999 The article investigates interior point rules which contain the midpoint as a special case, and obtains explicit bounds through the use of a Peano kernel approach and the modern theory of inequalities.
Cerone, Pietro, Dragomir, Sever S
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Conformal Geometry of Horn Angles. [PDF]
Proc Natl Acad Sci U S A, 1936 Kasner E, Comenetz G.
europepmc +1 more source
A Note on Ostrowski's Inequality
, 2002 This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: i) the case of random variables (attached to arbitrary probability fields); ii) the comparison is ...
Florea, Aurelia, Niculescu, Constantin P
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A converse to the ostrowski-taussky determinantai inequality
Linear Algebra and its Applications, 1983 AbstractAn equality due to Ostrowski and Taussky compares the determinant of a matrix A with that of its Hermitian part (A + A∗)2, under certain conditions. A converse is now found for this inequality.
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