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Hilbert integral inequalities are beautiful inequalities with a symmetric structure, and have attracted much attention because of their important applications in the study of integral operators, and the Hilbert-type integral inequality involving variable
Qian Zhao, Yong Hong, Bing He
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Conformable integral version of Hermite-Hadamard-Fejér inequalities via η-convex functions
The purpose of the article is to use symmetric η-convex functions to develop Hermite-Hadamard-Fejér inequality for conformable integral. We establish several conformable integral versions of Hermite-Hadamard-Fejér type inequality for the η-convex ...
Yousaf Khurshid+2 more
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Differential and integral inequalities [PDF]
RAYMOND M. REDHEFFER This note presents new proofs for some important inequalities [l]. The assumptions on positivity or monotony of the various functions are weaker than those in [l] or in the original references (see [l]) and yet the method seems astonishingly elementary. We set u' = du/dt, and ?2^0; the reversal of inequalities for ? 0. Then (1) Tu ^
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Generalized retarded integral inequalities [PDF]
We prove some new retarded integral inequalities. The results generalize those in [J. Math. Anal. Appl. 301 (2005), no. 2, 265--275].
Ferreira, R.A.C., Torres, D.F.M.
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This review highlights how foundation models enhance predictive healthcare by integrating advanced digital twin modeling with multiomics and biomedical data. This approach supports disease management, risk assessment, and personalized medicine, with the goal of optimizing health outcomes through adaptive, interpretable digital simulations, accessible ...
Sakhaa Alsaedi+2 more
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On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense
By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality.
Mohammed S. El-Khatib+4 more
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Abstract Purpose Due to the tight curvature in their design, ring applicators are usually associated with large positioning errors. The standard practice to correct for these deviations based on global offsets may not be sufficient to comply with the recommended tolerance.
Leon G. Aldrovandi+3 more
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The main motivation of this study is to bring together the field of inequalities with fractional integral operators, which are the focus of attention among fractional integral operators with their features and frequency of use.
Havva Kavurmacı Önalan+3 more
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Comprehensive clinical evaluation of novel 4DCT‐based lung function imaging methods
Abstract Purpose Methods have been developed that apply image processing to 4DCTs to generate 4DCT‐ventilation/perfusion lung imaging. Traditional methods for 4DCT‐ventilation rely on Hounsfield‐Unit (HU) density‐change methods and suffer from poor numerical robustness while not providing 4DCT‐perfusion data.
Ehsan Golkar+6 more
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In this paper, we investigated the problem of the finite-time boundedness and finitetime passivity for neural networks with time-varying delays. A triple, quadrable and five integral terms with the delay information are introduced in the new Lyapunov ...
Shanmugam Saravanan+3 more
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