Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
PLoS ONE, 2023 As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet ...
Jing Guo +3 more
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Ostrowski type inequalities involving conformable fractional integrals [PDF]
Journal of Inequalities and Applications, 2018 In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.
Muhammad Adil Khan +3 more
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Ostrowski type inequalities for sets and functions of bounded variation [PDF]
Journal of Inequalities and Applications, 2017 In this paper we obtain sharp Ostrowski type inequalities for multidimensional sets of bounded variation and multivariate functions of bounded variation.
Oleg V Kovalenko
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Montgomery identity and Ostrowski-type inequalities via quantum calculus
Open Mathematics, 2021 In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Muhammad Aamir Ali +2 more
exaly +2 more sources
Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application [PDF]
, 2007 An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Cerone, P. +4 more
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Refined Hardy-Type Inequalities Involving New Green Functions and Montgomery Identity
Discrete Dynamics in Nature and SocietySome 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.
Ammara Nosheen +3 more
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Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions [PDF]
, 2006 Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonic integrators and Hölder continuous integrands while the second considers the dual case, i.e., for monotonic integrands and Hölder continuous ...
Cheung, Wing Sum, Dragomir, Sever S
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On Weighted Ostrowski Type Inequalities for Operators and Vector-Valued Functions [PDF]
, 2001 Some weighted Ostrowski type integral inequalities for operators and vector-valued functions in Banach spaces are given.
Cerone, Pietro +3 more
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On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation [PDF]
, 2006 Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f'| is convex is explored.
Cheung, Wing Sum +2 more
core +6 more sources
Better Bounds in Some Ostrowski-Grüss Type Inequalities [PDF]
, 2000 The main aim of this note is to point out some improvements of the recent results in Generalisations of some inequalities of Ostrowski-Grüss type, Math. Ineq.
Dragomir, Sever S
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