Jensen, Ostrowski and Hermite-Hadamard type inequalities for h-convex stochastic processes by means of center-radius order relation [PDF]
Please read abstract in the article.Prince Sattam bin Abdulaziz University.http://www.aimspress.com/journal/MathMathematics and Applied ...
Abbas, Mujahid +3 more
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Hermite–Hadamard-type Inequalities via Caputo–Fabrizio fractional integral for h-Godunova–Levin and (h1, h2)-convex functions [PDF]
This note generalizes several existing results related to Hermite–Hadamard inequality using h-Godunova–Levin and (h1, h2)-convex functions using a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. This study uses a
Abbas, Mujahid +4 more
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Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation [PDF]
This note introduces the concept of (h1, h2)-convex stochastic processes using intervalvalued functions. First we develop Hermite-Hadmard (H.H) type inequalities, then we check the results for the product of two convex stochastic process mappings, and ...
Abbas, Mujahid +3 more
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This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali +3 more
doaj +1 more source
Extreme gaps between eigenvalues of random matrices
This paper studies the extreme gaps between eigenvalues of random matrices. We give the joint limiting law of the smallest gaps for Haar-distributed unitary matrices and matrices from the Gaussian unitary ensemble.
Arous, Gérard Ben, Bourgade, Paul
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New inequalities via Caputo-Fabrizio integral operator with applications [PDF]
Fractional integral inequalities have become one of the most useful and expansive tools for the development of many fields of pure and applied mathematics over the past few years.
Arslan Munir +3 more
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Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir +2 more
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Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals [PDF]
The well-known Hermite-Hadamard inequality for convex functions is extensively studied for different kinds of integrals and derivatives. This paper investigates some of its variants for $ q-h $-integrals using properties of convex functions. Inequalities
Dong Chen +3 more
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New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Hong-Hu Chu +3 more
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Time Scales Integral Inequalities for Superquadratic Functions [PDF]
In this paper, two different methods of proving Jensen\u27s inequality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and ...
Barić, Josipa +3 more
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