Results 1 to 10 of about 1,029 (208)
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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Ostrowski Type Inequalities for Higher-Order Derivatives [PDF]
Journal of Inequalities and Applications, 2009 This paper has shown some new Ostrowski type inequalities involving higher-order derivatives. The results generalized the Ostrowski type inequalities. Applications of the inequalities are also given.
Zhao Xilai, Wang Mingjin
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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.
Thanin Sitthiwirattham +2 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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Inequalities of Ostrowski–Grüss type and applications [PDF]
Applicationes Mathematicae, 2002 Some new inequalities of Ostrowski-Gruss type are derived. They are applied to the error analysis for some Gaussian and Gaussian-like quadrature formulas.
Tuna, Adnan, Daghan, Durmus
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Extensions of Ostrowski Type Inequalities via h-Integrals and s-Convexity
Journal of Mathematics, 2021 In this paper, Hölder, Minkowski, and power mean inequalities are used to establish Ostrowski type inequalities for s-convex functions via h-calculus. The new inequalities are generalized versions of Ostrowski type inequalities available in literature.
Khuram Ali Khan +4 more
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Journal of Function Spaces, 2022 In the present paper, q-fractional integral operators are used to construct quantum analogue of Ostrowski type inequalities for the class of s-convex functions. The limiting cases include the nonfractional existing cases from literature.
Xiaoming Wang +5 more
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Ostrowski type inequalities involving conformable integrals via preinvex functions
AIP Advances, 2020 In this research article, we use preinvex functions to develop Ostrowski type inequalities for conformable integrals. First, we aim for an identity linked with the Ostrowski inequality.
Yousaf Khurshid +2 more
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