Results 11 to 20 of about 77 (76)
On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications
Fractal and Fractional, 2023 This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were
Soubhagya Kumar Sahoo +4 more
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Inequality of Ostrowski Type for Mappings with Bounded Fourth Order Partial Derivatives
Abstract and Applied Analysis, 2019 A general Ostrowski’s type inequality for double integrals is given. We utilize function whose partial derivative of order four exists and is bounded.
Waseem Ghazi Alshanti
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Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I)
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 Perturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are either bounded or of bounded variation and applications are given.
Dragomir Silvestru Sever
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A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral ∫ab f(t)du(t), where f is assumed to be of r-H-Hölder type on [a,b] and u is of bounded variation on [a,b], is proved.
Mohammad W. Alomari
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On New Generalized Ostrowski Type Integral Inequalities
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.
A. Qayyum +3 more
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Demonstratio Mathematica, 2014 Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are ...
Set Erhan +2 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12313-12323, 30 July 2026.ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
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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
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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
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Properties and Applications of Symmetric Quantum Calculus
Fractal and FractionalSymmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez +4 more
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