A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral ∫ab f(t)du(t), where f is assumed to be of r-H-Hölder type on [a,b] and u is of bounded variation on [a,b], is proved.
Mohammad W. Alomari
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Variants of Čebyšev's inequality with applications
Journal of Inequalities and Applications, 2006 Several variants of Čebyšev's inequality for two monotonic -tuples and also nonnegative -tuples monotonic in the same direction are presented. Immediately after that their refinements of Ostrowski's type are given.
Pečarić J +2 more
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Refinements Jensen's Inequality and Some Their Applications [PDF]
, 2023 This paper aims to present a new refinement of the Jensen inequality specifically for convex functions. Building on this refinement, the paper derives various related inequalities, with a particular focus on Bullen's inequality and Ostrowski's inequality.
Sarikaya, Mehmet Zeki
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Generalization of Companion of Ostrowski's Type Inequality Via Riemann-Liouville Fractional Integral and Applications in Numerical Integration, Probability Theory and Special Means [PDF]
Sahand Communications in Mathematical AnalysisWe apply the Riemann-Liouville fractional integral to generalize a companion of Ostrowski's type integral inequality. The present article recaptures all the results of M. W.
Faraz Mehmood, Akhmadjon Soleev
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An integral analogue of the Ostrowski inequality
Journal of Inequalities and Applications, 1998 We give an integral analogue of the Ostrowski inequality and several extensions, allowing in particular for multiple linear ...
Pearce, Charles E. M. +2 more
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Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I)
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Perturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are either bounded or of bounded variation and applications are given.
Dragomir Silvestru Sever
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On New Generalized Ostrowski Type Integral Inequalities
Abstract and Applied Analysis, 2014 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality.
A. Qayyum +3 more
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Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions
Cumhuriyet Science Journal, 2019 First of all, a novel inequality of Hadamard's type for functions higherorder derivatives of which are convex is developed. It is also presentedmidpoint type results.
Samet Erden
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Ostrowski’s inequality on time scales
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Refined Hardy‐Type Inequalities Involving New Green Functions and Montgomery Identity
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Some Hardy‐type inequalities are established in the paper by the suitable combinations of new Green functions on time scales, which are furthermore extended with the help of generalized Montgomery identity involving Taylor formula on time scales. Bounds of Grüss‐ and Ostrowski‐type inequalities related to these Hardy‐type inequalities on time scales ...
Ammara Nosheen +4 more
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