Results 31 to 40 of about 229 (167)
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
doaj +1 more source
Variable‐Order Postquantum Fractional Integral Inequalities With Nonuniform Memory
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Variable memory effects are essential for accurately modeling nonlocal phenomena in applied mathematics, physics, and engineering. Motivated by this observation, we develop a new class of variable‐order postquantum fractional integral inequalities based on the Riemann–Liouville (RL)‐type (p, q)‐fractional integral operator with a q‐shifting structure ...
Ashraf Al-Quran +4 more
wiley +1 more source
Generalization and improvement of Ostrowski type inequalities
AIP Conference Proceedings, 2018 The goal of this study to obtain the new generalization of Ostrowski inequality for bounded functions by using new generalized Montgomery identity which is proved. The results presented here would provide extensions of those given in earlier works.
Sarikaya, Mehmet Zeki +1 more
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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
wiley +1 more source
A New Ostrowski’s Type Inequality for Quadratic Kernel
International Journal of Analysis and Applications, 2022 From the past few decades, the integral inequalities have been extensively researched. Integral inequalities are applied in innumerable mathematical problems. In current paper, we obtain new versions of Ostrowski’s type integral inequalities by implementing proposed general form of 7-step quadratic kernel.
M. M. Saleem +4 more
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Ostrowski Via a Two Functions Pompeiu's Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, some generalizations of Pompeiu's inequality for two complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type results.
Dragomir Silvestru Sever
doaj +1 more source
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
Inequalities of Ostrowski Type in Two Dimensions [PDF]
Rocky Mountain Journal of Mathematics, 2005 A weighted version of Ostrowski type inequality in two dimensions is established. An ordinary generalization of Ostrowski's inequality in two dimensions and a corresponding Ostrowski-Grüss inequality are also derived.
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On Ostrowski Type Inequalities for Generalized Integral Operators
Journal of Mathematics, 2022 It is well known that mathematical inequalities have played a very important role in solving both theoretical and practical problems. In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.
Martha Paola Cruz de la Cruz +4 more
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Generalizations of Steffensen’s inequality via the extension of Montgomery identity
Open Mathematics, 2018 In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić +2 more
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