Results 51 to 60 of about 92 (88)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
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Two-point Ostrowski and Ostrowski–Grüss type inequalities with applications [PDF]
The Journal of Analysis, 2019 In this work, an extension of two-point Ostrowski's formula for $n$-times differentiable functions is proved. A generalization of Taylor formula is deduced. An identity of Fink type for this extension is provided. Error estimates for the considered formulas are also given. Two-point Ostrowski-Gruss type inequalities are pointed out.
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Perturbations of an Ostrowski type inequality and applications [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid‐point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
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A companion for the Ostrowski and the generalised trapezoid inequalities
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. S. Barnett +2 more
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THE BEST CONSTANT IN AN INEQUALITY OF OSTROWSKI TYPE
Tamkang Journal of Mathematics, 1999 We prove the constant $\frac{1}{2}$ in Dragomir-Wang's inequality [2] is best.
Peachey, Tom +2 more
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New stopping criteria for iterative root finding. [PDF]
R Soc Open Sci, 2014 Nikolajsen JL.
europepmc +1 more source
Conformal Geometry of Horn Angles. [PDF]
Proc Natl Acad Sci U S A, 1936 Kasner E, Comenetz G.
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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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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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Revisiting Ostrowski's Inequality
The main objective of this paper is to present Ostrowski's inequality for a broader class of functions and to propose a refinement to the classical version of it. The original Ostrowski's inequality can be stated as follows "If $f:[a,b]\to\mathbb{R}$ is differentiable and $f'\in L^{\infty}[a, b]$, then for any $p\in\,]a,b[\,$, the following functional
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