Results 11 to 20 of about 277 (168)
Construction of New Ostrowski’s Type Inequalities By Using Multistep Linear Kernel
Cumhuriyet Science Journal, 2023 In this paper, we construct a generalisation of Ostrowski’s type inequalities with the help of new identity. By using this identity, we construct further results for ģ^'∈L^1 [c ̇,d ̆ ],ģ^'∈L^2 [c ̇,d ̆ ],ģ^''∈L^2 [c ̇,d ̆ ].
Yasır Qayyum +3 more
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A New Ostrowski’s Type Inequality for Quadratic Kernel
International Journal of Analysis and Applications, 2022 From the past few decades, the integral inequalities have been extensively researched. Integral inequalities are applied in innumerable mathematical problems.
M. M. Saleem +4 more
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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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Hermite-Hadamard and Ostrowski type inequalities in h-calculus with applications
AIMS Mathematics, 2022 In this paper, we prove Hermite-Hadamard inequality for convex functions in the framework of h-calculus. We also use the notions of h-derivative and h-integral to prove Ostrowski's and trapezoidal type inequalities for bounded functions. It is also shown
Miguel Vivas-Cortez +3 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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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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