Results 31 to 40 of about 3,504 (176)
On Ostrowski type inequalities and Cebysev type inequalities with applications
Filomat, 2015 In this paper, we obtain some new Ostrowski type inequalities and Cebysev type inequalities for functions whose second derivatives absolute value are convex and second derivatives belongs to Lp spaces. Applications to a composite quadrature rule, to probability density functions, and to special means are also given.
Kiris, Mehmet Eyup +1 more
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On Ostrowski-Type Inequalities for Higher-Order Partial Derivatives
Journal of Inequalities and Applications, 2010 We establish some new Ostrowski-type integral inequalities involving higher-order partial derivatives. As applications, we get some interrelated results. Our results provide new estimates on inequalities of this type.
Zhao Changjian, Wing-Sum Cheung
doaj +2 more sources
Ostrowski-Type Fractional Integral Inequalities: A Survey
Foundations, 2023 This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq +2 more
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The Median Principle for Inequalities and Applications
, 2002 The median principle is applied for different integral inequalities of Gruss and Ostrowski ...
P. Cerone, P. Cerone
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New estimates on generalization of some integral inequalities for s-convex functions and their applications [PDF]
, 2012 In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are s-convex (
Iscan, Imdat
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Perturbations of an Ostrowski type inequality and applications [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid‐point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
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A NOTE ON OSTROWSKI TYPE INEQUALITIES
Demonstratio Mathematica, 2002 Summary: In the present note we establish two new integral inequalities of the Ostrowski type involving a function of one independent variable. The discrete analogues of the main results are also given.
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Journal of Inequalities and Applications, 2022 The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A novel integral identity for twice-differentiable functions is established after a rigorous investigation of ...
Soubhagya Kumar Sahoo +4 more
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A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities
Journal of Inequalities and Applications, 2023 This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rules.
Miguel Vivas-Cortez +4 more
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Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan +5 more
wiley +1 more source