Results 61 to 70 of about 833,509 (313)
This study reveals new fractional behavior of Minkowski inequality and several other related generalizations in the frame of the newly proposed fractional operators.
S. Rashid, F. Jarad, Y. Chu
semanticscholar +1 more source
Besov functions and vanishing exponential integrability
The main result of the paper reads as follows. There is a number \(\beta >0\) such that for all elements \(u \in B^s_{pq} (\mathbb{R}^n)\) of the indicated Besov spaces with \(1< p,q < \infty\) and \(sp=n\), \[ \lim_{r \to 0} r^{-n} \int\limits_{| x-x^0| \leq r} \left[ \exp \left( \beta | u(x) - u(x^0)| ^{1/q'} \right) - 1 \right] \, dx =0 \] for all \(
Adams, David R., Hurri-Syrjänen, Ritva
openaire +3 more sources
Certain integrals involving logarithmic and exponential functions [PDF]
In this paper we have evaluated the integrals urn:x-wiley:01611712:media:ijmm603126:ijmm603126-math-0001 and urn:x-wiley:01611712:media:ijmm603126:ijmm603126-math-0002 for all n = 1, 2, 3, …. Some applications of the results are discussed and an open problem is posed.
M. Aslam Chaudhry, M. Ahmad
openaire +3 more sources
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
On classical and semiclassical properties of the Liouville theory with defects
The Lagrangian of the Liouville theory with topological defects is analyzed in detail and general solution of the corresponding defect equations of motion is found.
Poghosyan, Hasmik, Sarkissian, Gor
core +1 more source
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
A Short Note on Integral Transformations and Conversion Formulas for Sequence Generating Functions
The purpose of this note is to provide an expository introduction to some more curious integral formulas and transformations involving generating functions.
Maxie D. Schmidt
doaj +1 more source
Functions of linear operators: Parameter differentiation
We derive a useful expression for the matrix elements $[\frac{\partial f[A(t)]}{\partial t}]_{i j}$ of the derivative of a function $f[A(t)]$ of a diagonalizable linear operator $A(t)$ with respect to the parameter $t$. The function $f[A(t)]$ is supposed
Constantino Tsallis +2 more
core +2 more sources
β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1
Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero +8 more
wiley +1 more source
Approximate solution of linear Volterra-Fredholm integral equations via exponential spline function
This paper presents a novel numerical scheme for solving linear Volterra-Fredholm integral equations (V-FIEs) of the second kind, utilizing exponential spline functions (ESFs) in combination with fractional derivatives.
Rahel Jaza +3 more
doaj +1 more source

