Results 31 to 40 of about 2,708,851 (245)

A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel

Abstract and Applied Analysis, 2014
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
doaj   +1 more source

On a reverse extended Hardy–Hilbert’s inequality

Journal of Inequalities and Applications, 2020
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, Yanping Shi, Bicheng Yang   +2 more
doaj   +1 more source

Financial Burden Associated With Hospitalisation Among Families of Childhood Brain Tumours in Australia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim, Natalie Bradford, David Brain, Sameera Senanayake, Sanjeewa Kularatna, Kate Young, Christine Cashion, Tim Hassall, Susanna Cramb   +8 more
wiley   +1 more source

On a new discrete Mulholland-type inequality in the whole plane

Journal of Inequalities and Applications, 2018
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
doaj   +1 more source

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

FEBS Letters, EarlyView.
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, Shin Morioka, Junko Sasaki, Takehiko Sasaki   +3 more
wiley   +1 more source

An Improved Version of the Parameterized Hardy–Hilbert Inequality Involving Two Partial Sums

Mathematics
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
doaj   +1 more source

A Multiple Hilbert-Type Integral Inequality with the Best Constant Factor

Journal of Inequalities and Applications, 2007
By introducing the norm ‖x‖α(x∈ℝ) 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
doaj   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

A more accurate Mulholland-type inequality in the whole plane

Journal of Inequalities and Applications, 2017
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
doaj   +1 more source

On the nonuniform Berry--Esseen bound [PDF]

, 2013
Due to the effort of a number of authors, the value c_u of the absolute constant factor in the uniform Berry--Esseen (BE) bound for sums of independent random variables has been gradually reduced to 0.4748 in the iid case and 0.5600 in the general case ...
Pinelis, Iosif
core