New time scale generalizations of the Ostrowski-Grüss type inequality for k points [PDF]
Journal of Inequalities and Applications, 2017 Two Ostrowski-Grüss type inequalities for k points with a parameter λ ∈ [ 0 , 1 ] $\lambda\in[0, 1]$ are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points.
Eze R Nwaeze +2 more
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Fractal and Fractional, 2023 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations.
Gauhar Rahman +5 more
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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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On Ostrowski Type Inequalities via the Extended Version of Montgomery’s Identity
Mathematics, 2022 In this paper, we obtain new Ostrowski type inequalities by using the extended version of Montgomery identity and Green’s functions. We also give estimations of the difference between two integral means.
Asif R. Khan +2 more
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An Application of Hayashi’s Inequality for Differentiable Functions
Mathematics, 2022 In this work, we offer new applications of Hayashi’s inequality for differentiable functions by proving new error estimates of the Ostrowski- and trapezoid-type quadrature rules.
Mohammad W. Alomari +1 more
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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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On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications
Fractal and Fractional, 2023 This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Soubhagya Kumar Sahoo +4 more
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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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