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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

Mercer's inequality for h-convex functions

, 2017
3 ...
openaire   +2 more sources

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

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

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

On New Generalized Hermite–Hadamard–Mercer-Type Inequalities for Raina Functions

Fractal and Fractional
In this research, we demonstrate novel Hermite–Hadamard–Mercer fractional integral inequalities using a wide class of fractional integral operators (the Raina fractional operator).
Zeynep Çiftci, Merve Coşkun, Çetin Yildiz, Luminiţa-Ioana Cotîrlă, Daniel Breaz   +4 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

Refining Jensen–Mercer inequality and its applications in probability and statistics

Journal of Inequalities and Applications
This paper focuses on refining the Jensen–Mercer inequality and extending its applications to various important inequalities, including Hölder’s, Ky Fan, and AM-GM inequalities.
Rabia Bibi, Sajid Ali
doaj   +1 more source

Anomaly detection for blueberry data using sparse autoencoder-support vector machine. [PDF]

PeerJ Comput Sci, 2023
Wei D, Zheng J, Qu H.
europepmc   +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