Results 101 to 110 of about 30,421 (194)

Fractional Integral Estimates of Boole Type: Majorization and Convex Function Approach with Applications

Fractal and Fractional
The goal of this paper is to use a Boole-type inequality framework to provide better estimates for differentiable functions. Using majorization theory, fractional integral operators are incorporated into a new auxiliary identity.
Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol   +2 more
doaj   +1 more source

A version of Hermite-Hadamard-Mercer inequality and associated results

Ain Shams Engineering Journal
Over the past decade, the Hermite-Hadamard inequality has attracted significant attention from mathematicians, leading to the development of various extensions and generalizations involving different fractional operators, stochastic processes ...
Zhenglin Zhang, Muhammad Adil Khan, Jamroz Khan, Shah Faisal, Xuewu Zuo, Mohammed Kbiri Alaoui   +5 more
doaj   +1 more source

New Results on Majorized Discrete Jensen–Mercer Inequality for Raina Fractional Operators

Fractal and Fractional
As the most important inequality, the Hermite–Hadamard–Mercer inequality has attracted the interest of numerous additional mathematicians. Numerous findings on this inequality have been developed in recent years.
Çetin Yildiz, Tevfik İşleyen, Luminiţa-Ioana Cotîrlă   +2 more
doaj   +1 more source

Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications

Axioms
In this work, we initially derive an integral identity that incorporates a twice-differentiable function. After establishing the recently created identity, we proceed to demonstrate some new Hermite–Hadamard–Mercer-type inequalities for twice ...
Muhammad Aamir Ali, Thanin Sitthiwirattham, Elisabeth Köbis, Asma Hanif   +3 more
doaj   +1 more source

Defensive online portfolio selection [PDF]

The class of defensive online portfolio selection algorithms,designed for fi nite investment horizon, is introduced. The Game Constantly Rebalanced Portfolio and the Worst Case Game Constantly Rebalanced Portfolio, are presented and theoretically analyzed.
Stella, Fabio, Ventura, Alfonso
core   +1 more source

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Demonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe, Khan Muhammad Adil, Faisal Shah, Saeed Tareq, Nwaeze Eze R.   +4 more
doaj   +1 more source

Generalization of Hermite–Hadamard, trapezoid, and midpoint Mercer type inequalities for fractional integrals in multiplicative calculus

Boundary Value Problems
This study generalizes Hermite–Hadamard–Mercer type inequalities using Riemann–Liouville fractional integrals within the framework of multiplicative calculus.
Abdul Mateen, Zhiyue Zhang, Serap Özcan, Muhammad Aamir Ali   +3 more
doaj   +1 more source

Evolutionary Approach to Inequalities of Hermite–Hadamard–Mercer Type for Generalized Wright’s Functions Associated with Computational Evaluation and Their Applications

Fractal and Fractional
The theory of integral inequalities has a wide range of applications in physics and numerical computation, and plays a fundamental role in mathematical analysis.
Talib Hussain, Loredana Ciurdariu, Eugenia Grecu   +2 more
doaj   +1 more source

Jensen– and Mercer–type inequalities for h–convex functions: characterizations, refinements, and applications

Journal of Inequalities and Applications
This paper presents a unified framework for extending Jensen- and Mercer-type inequalities within the h-convex function space. By leveraging the supermultiplicative and superadditive properties of the weight function h ( t ) $h(t)$ , we refine classical ...
Sajid Ali, Rabia Bibi
doaj   +1 more source

An Online Projection Estimator for Nonparametric Regression in Reproducing Kernel Hilbert Spaces. [PDF]

Stat Sin, 2023
Zhang T, Simon N.
europepmc   +1 more source