Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application [PDF]
Mathematics, 2022 Recently, there have been many proven results of the Ostrowski–Grüss-type inequality regarding the error bounds for the Chebyshev functional when the functions or their derivatives belong to Lp spaces.
Sanja Kovač, Ana Vukelić
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Companion of Ostrowski Inequality for Multiplicatively Convex Functions [PDF]
Sahand Communications in Mathematical AnalysisThe objective of this paper is to examine integral inequalities related to multiplicatively differentiable functions. Initially, we establish a novel identity using the two-point Newton-Cotes formula for multiplicatively differentiable functions.
Badreddine Meftah +3 more
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On some dynamic inequalities of Ostrowski, trapezoid, and Grüss type on time scales
Journal of Inequalities and Applications, 2022 In the present manuscript, we prove some new extensions of the dynamic Ostrowski inequality and its companion inequalities on an arbitrary time scale by using two parameters for functions whose second delta derivatives are bounded.
Ahmed A. El-Deeb
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Exploring the Companion of Ostrowski's Inequalities via Local Fractional Integrals
European Journal of Pure and Applied Mathematics, 2023 This paper investigates the companion of Ostrowski's inequality in the framework of fractal sets. First, a new identity related to local fractional integrals is introduced, serving as the foundation for establishing a set of inequalities applicable to functions with generalized $s$-convex and $s$-concave derivatives.
Saleh, Wedad +3 more
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New bounds for the companion of Ostrowski’s inequality and applications [PDF]
Filomat, 2014 In this paper we establish some new bounds for the companion of Ostrowski?s inequality for the case when f??L1[a, b], f???L2[a,b] and f??L2[a, b], respectively. We point out that the results in the first and third cases are sharp and that some of these new estimations can be better than the known results.
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Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I) [PDF]
Annals of West University of Timisoara - Mathematics and Computer Science, 2016 AbstractPerturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are either bounded or of bounded variation and applications are given.
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SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS [PDF]
Bulletin of the Korean Mathematical Society, 2005 Companions of Ostrowski's integral ineqaulity for absolutely continuous functions and applications for composite quadrature rules and for p.d.f.'s are provided.
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SOME GENERALIZED COMPANIONS OF PERTURBED OSTROWSKI-LIKE TYPE INEQUALITIES [PDF]
International Journal of Pure and Apllied Mathematics, 2013 In this paper, based on the generalized quadratic kernel func- tion with three sections which was motivated by Liu, Zhu and Park(20), some companions of perturbed Ostrowski type inequalities for some several cases are obtained. The special cases of these results offer better estimation than the trapezoidal formula and the midpoint formula.
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On companion of Ostrowski inequality for mappings whose first derivatives absolute value are convex with applications [PDF]
Miskolc Mathematical Notes, 2012 Several inequalities for a companion of Ostrowski inequality for absolutely continuous mappings whose first derivatives absolute value are convex (resp. concave) are established. Applications to a composite quadrature rule, to p.d.f.'s, and to special means are provided. © 2012 Miskolc University Press.
Alomari M.W., Özdemir M.E., Kavurmac H.
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A Companion of Ostrowski inequality for the Stieltjes integral of monotonic functions
Innovative Journal of Mathematics (IJM), 2022 Some companions of Ostrowski’s integral inequality for the RiemannStieltjes integral \int_a^b{ f (t) du (t)}, where f is assumed to be of r-H-H¨older type on [a, b] and u is of monotonic non-decreasing on [a, b], are proved. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed ...
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