Advances in Ostrowski-Mercer Like Inequalities within Fractal Space
Fractal and Fractional, 2023 The main idea of the current investigation is to explore some new aspects of Ostrowski’s type integral inequalities implementing the generalized Jensen–Mercer inequality established for generalized s-convexity in fractal space.
Miguel Vivas-Cortez +4 more
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Ostrowski Type Inequalities [PDF]
Proceedings of the American Mathematical Society, 1995 The following generalization of Ostrowski's inequality is given: Let \(f\in C^{n+1}([a,b])\), \(n\in\mathbb{N}\) and \(y\in [a,b]\) be fixed, such that \(f^{(k)}(y)=0\), \(k=1,\dots,n\). Then \[ \Biggl|{1\over b-a} \int^b_a f(t)dt- f(y)\Biggr|\leq {|f^{(n+1)}|_\infty\over (n+2)!} \Biggl({(y-a)^{n+2}+ (b-y)^{n+2}\over b-a}\Biggr).
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An application of Hayashi's inequality in numerical integration
Open Mathematics, 2023 This study systematically develops error estimates tailored to a specific set of general quadrature rules that exclusively incorporate first derivatives.
Heilat Ahmed Salem +4 more
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An infinite family of one step iterators for solving non linear equation to increase the order of convergence and a new algoritm of global convergence [PDF]
, 2013 In this paper we present an infinite family of one-step iterative formulas for solving nonlinear equations (Present Method One), from now on PMI, that can be expressed as xn+1=Fm(xn), with 1=1, we will prove that the corresponding iteration formula of ...
Moreno Flores, Joaquín
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A Gradient Algorithm Locally Equivalent to the Em Algorithm [PDF]
, 1995 Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/146826/1/rssb02037 ...
Boyles +27 more
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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.
Awan, Khalid Mahmood +2 more
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Inequality of Ostrowski Type for Mappings with Bounded Fourth Order Partial Derivatives
Abstract and Applied Analysis, 2019 A general Ostrowski’s type inequality for double integrals is given. We utilize function whose partial derivative of order four exists and is bounded.
Waseem Ghazi Alshanti
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Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means [PDF]
Sahand Communications in Mathematical AnalysisWe apply the Riemann-Liouville fractional integral to generalize a companion of Ostrowski's type integral inequality. The present article recaptures all the results of M. W.
Faraz Mehmood, Akhmadjon Soleev
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Two-point Ostrowski inequality [PDF]
Mathematical Inequalities & Applications, 2001 A generalization of a classical Ostrowski inequality is proved. As a consequence, an improvement of a recent result of Barnett and Dragomir is given.
Pečarić, Josip, Matić, Marko
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A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral ∫ab f(t)du(t), where f is assumed to be of r-H-Hölder type on [a,b] and u is of bounded variation on [a,b], is proved.
Mohammad W. Alomari
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