On some new generalizations of Ostrowski integral inequality
International Journal of Mathematics and Mathematical Sciences, 2002 Some new generalizations of Ostrowski integral inequality on multivariate are given.
Lü Zhongxue, Xie Hongzheng
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Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial
Journal of Inequalities and Applications, 2022 In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions is deduced from Jensen’s inequality involving diamond integrals.
Fazilat Bibi +3 more
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Two-Point Fuzzy Ostrowski Type Inequalities
International Journal of Analysis and Applications, 2013 Two-point fuzzy Ostrowski type inequalities are proved for fuzzy Hölder and fuzzy differentiable functions. The two-point fuzzy Ostrowski type inequality for M-lipshitzian mappings is also obtained.
Muhammad Amer Latif, Sabir Hussain
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Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
Journal of Function Spaces, 2021 In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n-convex function is deduced from Jensen’s inequality involving diamond integrals.
Rabia Bibi +3 more
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On Weighted Montgomery Identity for k Points and Its Associates on Time Scales
Abstract and Applied Analysis, 2017 The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality.
Eze R. Nwaeze, Ana M. Tameru
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General form of $(\lambda,\varphi)$-additive operators on spaces of $L$-space-valued functions
Researches in Mathematics, 2022 The goal of the article is to characterize continuous $(\lambda,\varphi)$-additive operators acting on measurable bounded functions with values in $L$-spaces. As an application, we prove a sharp Ostrowski type inequality for such operators.
V.F. Babenko +3 more
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Weighted Ostrowski type inequalities for functions with one point of nondifferentiability
Arab Journal of Mathematical Sciences, 2014 We present a weighted generalization involving derivatives of arbitrary order of the recently obtained Ostrowski type inequality for functions with one point of nondifferentiability.
A. Aglić Aljinović +2 more
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Abstract Supplement Abstracts from IAS 2025, the 13th IAS Conference on HIV Science, 13 - 17 July, Kigali, Rwanda & Virtual. [PDF]
J Int AIDS SocJournal of the International AIDS Society, Volume 28, Issue S4, July 2025.
europepmc +2 more sources
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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More General Ostrowski-Type Inequalities in the Fuzzy Context
MathematicsIn this study, Ostrowski-type inequalities in fuzzy settings were investigated. A detailed theory of fuzzy analysis is provided and utilized to establish the Ostrowski-type inequality in the fuzzy number-valued space.
Muhammad Amer Latif
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