Results 11 to 20 of about 92 (88)
A note on Ostrowski's inequality
Journal of Inequalities and Applications, 2005 This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary probability fields); (ii) the comparison is ...
Niculescu Constantin P, Florea Aurelia
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A Note on Ostrowski's Inequality [PDF]
Mathematical Inequalities & Applications, 2001 The authors introduce a generalised version of Ostrowski's inequality in the perspective of an inner product space and further show that it is actually a statement about projections.
Šikić, Hrvoje, Šikić, Tomislav
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Generalization of Ostrowski and Ostrowski–Grüss type inequalities on time scales [PDF]
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tuna, Adnan, Daghan, Durmus
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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 integral analogue of the Ostrowski inequality
Journal of Inequalities and Applications, 1998 We give an integral analogue of the Ostrowski inequality and several extensions, allowing in particular for multiple linear ...
Pearce, Charles E. M. +2 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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Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions
Cumhuriyet Science Journal, 2019 First of all, a novel inequality of Hadamard's type for functions higherorder derivatives of which are convex is developed. It is also presentedmidpoint type results.
Samet Erden
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12313-12323, 30 July 2026.ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
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Ostrowski’s inequality on time scales
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variable‐Order Postquantum Fractional Integral Inequalities With Nonuniform Memory
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Variable memory effects are essential for accurately modeling nonlocal phenomena in applied mathematics, physics, and engineering. Motivated by this observation, we develop a new class of variable‐order postquantum fractional integral inequalities based on the Riemann–Liouville (RL)‐type (p, q)‐fractional integral operator with a q‐shifting structure ...
Ashraf Al-Quran +4 more
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