Results 21 to 30 of about 380,648 (224)
A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel
We first introduce Γ-function and Riemann ζ-function to characterize the constant factor jointly. A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real ...
Qiong Liu, Wenbing Sun
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A discrete Hilbert-type inequality in the whole plane
By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is given.
Dongmei Xin, Bicheng Yang, Qiang Chen
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On a reverse extended Hardy–Hilbert’s inequality
By the use of the weight coefficients, the idea of introducing parameters and the Euler–Maclaurin summation formula, a reverse extended Hardy–Hilbert inequality and the equivalent forms are given.
Zhenxiao Huang +2 more
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ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
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Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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An Improved Version of the Parameterized Hardy–Hilbert Inequality Involving Two Partial Sums
In this paper, by employing the Euler–Maclaurin summation formula and real analysis techniques, an improved version of the parameterized Hardy–Hilbert inequality involving two partial sums is established.
Bicheng Yang, Shanhe Wu
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A Multiple Hilbert-Type Integral Inequality with the Best Constant Factor
By introducing the norm ‖x‖α(x∈â„Â) and two parameters α, λ, we give a multiple Hilbert-type integral inequality with a best possible constant factor. Also its equivalent form is considered.
Baoju Sun
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On a new discrete Mulholland-type inequality in the whole plane
A new discrete Mulholland-type inequality in the whole plane with a best possible constant factor is presented by introducing multi-parameters, applying weight coefficients, and using Hermite–Hadamard’s inequality.
Bicheng Yang, Qiang Chen
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Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
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A more accurate Mulholland-type inequality in the whole plane
By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the
Yanru Zhong, Bicheng Yang, Qiang Chen
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