Results 11 to 20 of about 303 (160)
On Some New Ostrowski–Mercer-Type Inequalities for Differentiable Functions
Axioms, 2022 In this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some Ostrowski–Mercer-type inequalities for differentiable convex functions.
Ifra Bashir Sial +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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Journal of Inequalities and Applications, 2023 We prove new Ostrowski-type α-conformable dynamic inequalities and its companion inequalities on time scales by using the integration-by-parts formula on time scales associated with two parameters for functions with bounded second delta derivatives. When
Ahmed A. El-Deeb
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Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications
Mathematics, 2021 In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha.
Zhong-Xuan Mao +4 more
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Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
Journal of Function Spaces, 2022 The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan +4 more
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Ostrowski Type Inequalities in the Grushin Plane [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heng-Xing Liu, Jing-Wen Luan
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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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ON NEW OSTROWSKI TYPE INEQUALITIES
Demonstratio Mathematica, 2008 AbstractIn this short note, some new inequalities of Ostrowski type involving two functions and their derivatives for mapping whose derivations belong ...
Liu, Wenjun, Dong, Jianwei
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Fractional Ostrowski Type Inequalities via $\phi-\lambda-$Convex Function [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we aim to state well-known Ostrowski inequality via fractional Montgomery identity for the class of $\phi-\lambda-$ convex functions. This generalized class of convex function contains other well-known convex functions from literature ...
Ali Hassan, Asif Khan
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On Ostrowski type inequalities
Fasciculi Mathematici, 2016 AbstractIn this paper, new forms of Ostrowski type inequalities are established for a general class of fractional integral operators. The main results are used to derive Ostrowski type inequalities involving the familiar Riemann-Liouville fractional integral operators and other important integral operators.
Agarwal, Ravi P. +2 more
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