Results 61 to 70 of about 583 (211)
Inequalities of Ostrowski Type in Two Dimensions [PDF]
Rocky Mountain Journal of Mathematics, 2005 A weighted version of Ostrowski type inequality in two dimensions is established. An ordinary generalization of Ostrowski's inequality in two dimensions and a corresponding Ostrowski-Grüss inequality are also derived.
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On the Generalized Ostrowski Type Integral Inequality for Double Integrals
International Journal of Analysis and Applications, 2017 In this paper, we establish a new generalized Ostrowski type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.
Mustafa Kemal Yildiz +1 more
doaj +2 more sources
Ostrowski type inequalities on H-type groups
Journal of Mathematical Analysis and Applications, 2010 The classical Ostrowski inequality which states that for any \(f\in C^1[a,b]\) and any \(x\in [a,b]\), \[ \Big|f(x) - \frac 1{b-a} \int_a^b f(t)dt\Big| \leq \Bigg[\frac 14 + \frac{(x-\frac{a+b}2)^2}{(b-a)^2}\Bigg](b-a) \|f'\|_\infty \] is generalized to the context of \(H\)-groups, and an inequality with best possible constant is obtained.
Lian, Bao-Sheng, Yang, Qiao-Hua
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Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract In this paper, we extend the theory of minimal limit key polynomials of valuations on the polynomial ring K[x]$K[x]$. Minimal key polynomials are useful to describe, for instance, the defect of an extension of valued fields. We use the theory of cuts on ordered abelian groups to show that the previous results on bounded sets of key polynomials
Enric Nart, Josnei Novacoski
wiley +1 more source
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.
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Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract Let φ$\varphi$ be a univalent non‐elliptic self‐map of the unit disc D$\mathbb {D}$ and let (ψt)$(\psi _{t})$ be a continuous one‐parameter semigroup of holomorphic functions in D$\mathbb {D}$ such that ψ1≠idD$\psi _{1}\ne {\sf id}_\mathbb {D}$ commutes with φ$\varphi$.
Manuel D. Contreras +2 more
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Ostrowski type inequalities for convex functions
Tamkang Journal of Mathematics, 2014 In this paper, we obtain Ostrowski type inequalities for convex functions.
Özdemir, M. Emin +2 more
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On multiparametrized integral inequalities via generalized α‐convexity on fractal set
Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 980-1002, 15 January 2025.This article explores integral inequalities within the framework of local fractional calculus, focusing on the class of generalized α$$ \alpha $$‐convex functions. It introduces a novel extension of the Hermite‐Hadamard inequality and derives numerous fractal inequalities through a novel multiparameterized identity.
Hongyan Xu +4 more
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A General Ostrowski Type Inequality for Double Integrals
, 2000 Some generalisations of an Ostrowski Type Inequality in two dimensions for n-time differentiable mappings are given. The result is an Integral Inequality with bounded n-time derivatives.
Hanna, George T +2 more
core
Fuzzy Ostrowski type inequalities [PDF]
Computational & Applied Mathematics, 2003 We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a,b] I R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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