Results 61 to 70 of about 747 (219)
Some Ostrowski type inequalities
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A note on Ostrowski's inequality
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
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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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On the Generalized Ostrowski Type Integral Inequality for Double Integrals
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
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On multiparametrized integral inequalities via generalized α‐convexity on fractal set
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
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
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
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Eigenvalue Localization Inequalities for Complex Matrices With Order n ≥ 3
In this paper, we obtain some eigenvalue location inequalities for complex matrices with order n(n ≥ 3).
Rong Ma, Feng Zhang, Mohammad Mirzazadeh
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Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces
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
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
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