Results 11 to 20 of about 87 (80)
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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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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On New Generalized Ostrowski Type Integral Inequalities
Abstract and Applied Analysis, 2014 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality.
A. Qayyum +3 more
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Refined Hardy‐Type Inequalities Involving New Green Functions and Montgomery Identity
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Some Hardy‐type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss‐ and Ostrowski‐type inequalities related to these Hardy‐type inequalities on time scales ...
Ammara Nosheen +4 more
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Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan +5 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous +5 more
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Properties and Applications of Symmetric Quantum Calculus
Fractal and FractionalSymmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez +4 more
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