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A generalization of Ostrowski inequality on time scales for k points
, 2008 In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.Comment ...
Agarwal +16 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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Ostrowski type inequalities for harmonically s-convex functions [PDF]
, 2013 The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core
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
wiley +1 more source
On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates
International Journal of Analysis and Applications, 2016 In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
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A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities
Journal of Inequalities and Applications, 2023 This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rules.
Miguel Vivas-Cortez +4 more
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Ostrowski type inequalities for convex functions
Tamkang Journal of Mathematics, 2014 In this paper, we obtain Ostrowski type inequalities for convex functions.
Özdemir, M. Emin +2 more
openaire +3 more sources
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This study proves numerous novel Ostrowski‐type inequalities for nabla‐α differentiable functions by employing the α‐conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid‐type inequalities are also obtained for single‐variate functions with bounded second‐order nabla‐α derivatives.
Khuram Ali Khan +5 more
wiley +1 more source
On New Generalized Ostrowski Type Integral Inequalities [PDF]
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. The current paper obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval in ...
Qayyum, A. +3 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed +4 more
wiley +1 more source