Results 61 to 70 of about 747 (219)

Some Ostrowski type inequalities

open access: yesMathematical and Computer Modelling, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A note on Ostrowski's inequality

open access: yesJournal of Inequalities and Applications, 2005
This paper suggests a programme of possible extensions of the classical Ostrowski inequality, a result that estimates the deviation of the values of a differentiable function from its arithmetic mean. This programme is to consider: (i) a larger class of functions such as absolutely continuous functions, with refinements for \(L^p\) derivatives, see the
Niculescu, Constantin P, Florea, Aurelia
openaire   +3 more sources

Criteria for extension of commutativity to fractional iterates of holomorphic self‐maps in the unit disc

open access: yesJournal 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
wiley   +1 more source

On the Generalized Ostrowski Type Integral Inequality for Double Integrals

open access: yesInternational 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

On multiparametrized integral inequalities via generalized α‐convexity on fractal set

open access: yesMathematical 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
wiley   +1 more source

A General Ostrowski Type Inequality for Double Integrals

open access: yes, 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  

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

open access: yesOpen Mathematics, 2018
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić   +2 more
doaj   +1 more source

Eigenvalue Localization Inequalities for Complex Matrices With Order n ≥ 3

open access: yesAdvances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this paper, we obtain some eigenvalue location inequalities for complex matrices with order n(n ≥ 3).
Rong Ma, Feng Zhang, Mohammad Mirzazadeh
wiley   +1 more source

Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces

open access: yes, 2007
An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces.
Dragomir, Sever S   +2 more
core  

Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

open access: yesArab Journal of Mathematical Sciences, 2015
In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.
M. Emin Özdemir, Merve Avci Ardic
doaj   +1 more source

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