Catalogue Search | MBRL
Are you sure you want to remove the book from the shelf?
{{itemTitle}}
473,863
result(s) for
"p -InGaN"
Sort by:
On wavelets Kantorovich (p,q)-Baskakov operators and approximation properties
In this paper, we generalize and extend the Baskakov-Kantorovich operators by constructing the (p,q)-Baskakov Kantorovich operators (ϒn,b,p,qh)(x)=[n]p,q∑b=0∞qb−1υb,np,q(x)∫Rh(y)Ψ([n]p,qqb−1pn−1y−[b]p,q)dp,qy. The modified Kantorovich (p,q)-Baskakov operators do not generalize the Kantorovich q-Baskakov operators. Thus, we introduce a new form of this operator. We also introduce the following useful conditions, that is, for any 0≤b≤ω, such that ω∈N, Ψω is a continuous derivative function, and 00 with the property Ψ⊂[0,γ],its first ω moment vanishes, that is, for 1≤b≤ω, we have that ∫RybΨ(y)dp,qy=0,and ∫RΨ(y)dp,qy=1. Furthermore, we estimate the moments and norm of the new operators. And finally, we give an upper bound for the operator’s norm.
Journal Article
Estimated postnatal p,p’-DDT and p,p’-DDE levels and body mass index at 42 months of age in a longitudinal study of Japanese children
Background
Children are exposed to
p,p’-
dichlorodiphenyltrichloroethane (
p,p’-
DDT) and
p,p’-
dichlorodiphenyldichloroethylene (
p,p’-
DDE) through placental and lactational transfer. Some studies have suggested that early-life exposure to these compounds could lead to increased body mass index (BMI) during childhood. Our aim was to assess whether children’s exposure during the first 2 years of life is associated with BMI z-score in Japanese children at 42 months of age.
Methods
We used data from a birth cohort (
n
= 290) of the Tohoku Study of Child Development.
p,p’-
DDT and
p,p’-
DDE levels were measured in breast milk samples collected 1 month after birth, and levels in children were estimated using a toxicokinetic model for three exposure periods (0–6 months, 6–12 months, 12–24 months). Associations between exposure estimates and BMI z-score at 42 months of age were assessed using multivariate linear regression models.
Results
We found no significant association between levels of
p,p’-
DDT measured in breast milk or estimated in children and BMI z-score. However, we observed associations between estimated
p,p’-
DDE levels in girls during all postnatal exposure periods and BMI z-score; for each log increase in the estimated
p,p’-
DDE levels, BMI z-score increased by 0.23 (C.I. 95%: 0.01, 0.45) for the 0–6 months exposure period, 0.26 (C.I. 95%: 0.06, 0.47) for the 6–12 months exposure period, and 0.24 (C.I. 95%: 0.05, 0.43) for the 12–24 months exposure period.
Conclusion
In this study of Japanese children, estimated postnatal
p,p’-
DDE levels were associated with increased BMI z-score at 42 months of age, mostly in girls. These results are in line with previous studies supporting that early-life exposure to
p,p’-
DDE may be associated with higher BMI during childhood.
Journal Article
Some Carleman-type inequalities in (p,q)-calculus
In this paper, we construct
(
p
,
q
)
-type Jessen’s inequality using the properties of convex functions. On this basis, we generalize the classical Carleman integral-type inequality in
(
p
,
q
)
-calculus and obtain various forms of
(
p
,
q
)
-integral-type Carleman’s inequality by introducing various types of weight functions. Furthermore, we verify that under specific conditions, the
(
p
,
q
)
-integral Carleman inequality can reduce to the classical Carleman inequality in calculus.
Journal Article
On Kantorovich modification of (p,q)-Baskakov operators
The concern of this paper is to introduce a Kantorovich modification of
(
p
,
q
)
-Baskakov operators and investigate their approximation behaviors. We first define a new
(
p
,
q
)
-integral and construct the operators. The rate of convergence in terms of modulus of continuities, quantitative and qualitative results in weighted spaces, and finally pointwise convergence of the operators for the functions belonging to the Lipschitz class are discussed.
Journal Article
A difficult death : the life and work of Jens Peter Jacobsen
While largely unknown today, Danish writer Jens Peter Jacobsen was the leading prose writer in Scandinavia in the late nineteenth century. Despite his untimely death from tuberculosis at the age of thirty-eight, Jacobsen became a cult figure to an entire generation and continues to occupy an important place in Scandinavian cultural history. In this book, Morten H²i Jensen gives a moving account of Jacobsen's life, work, and death.--Adapted from book jacket.
BOOK
On fractional (p,q)-calculus
In this paper, the new concepts of (p,q)-difference operators are introduced. The properties of fractional (p,q)-calculus in the sense of a (p,q)-difference operator are introduced and developed.
Journal Article