using a generalized spherical mean operator, we obtain a generalization of titchmarsh&apos;s theorem for the dunkl transform for functions satisfying the (&apos;; p)-dunkl lipschitz condition in the space lp(rd;wl(x)dx), 1 < p 6 2, where wl is a weight function invariant under the action of an associated re ection group.

in this paper‎, ‎using a generalized dunkl translation operator‎, ‎we obtain a generalization of titchmarsh&apos;s theorem for the dunkl transform for functions satisfying the$(psi,p)$-lipschitz dunkl condition in the space $mathrm{l}_{p,alpha}=mathrm{l}^{p}(mathbb{r},|x|^{2alpha+1}dx)$‎, ‎where $alpha>-frac{1}{2}$.

In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi$$underset{a}{overset{a+eta left( b,aright) }{int }}left( x-aright)^{p}left( a+eta left( b,aright) -xright) ^{q}fleft( xright) dx$$in the cases where $f$ and $left| fright| ^{lambda }$ for $lambda >1$, are $s$-preinvex functions in the second sense.

We determined the antitumor and antimetastatic efficacy of the camptothecin analogue DX-8951f in an orthotopic metastatic mouse model of pancreatic cancer. DX-8951f showed efficacy against two human pancreatic tumor cell lines in this model. These cell lines were transduced with the green fluorescent protein, enabling high-resolution visualization of tumor and metastatic growth in vivo. The DX-...

Let X be a phase in a specimen. Given two arbitrary points x and y of X, let us define the number dx(x, y) as follows: dx(x, y) is the greatest lower bound of the lengths of the arcs in X ending at points x and y, if such arcs exist, and + CIJ if not. The function dX is a distance function, called 'geodesic distance'. Note that if x and y belong to two disjoint connected components of X, dx(x, ...

PURPOSE To determine the afferent pathways linking the anterior chamber (AC) of the eye to the secondary lymphoid organs. METHODS Single intracameral, subconjunctival, or intravenous injections and topical application on the conjunctiva of 3 muL (30 mug) of cascade-blue-labeled Dextran (CB-Dx) were performed in Lewis rats. In addition, bilateral intracameral injections (CB-Dx into the right A...

Nucleic acid extraction (NAE) plays a vital role in molecular biology as the primary step for many downstream applications. Many modifications have been introduced to the original 1869 method. Modern processes are categorized into chemical or mechanical, each with peculiarities that influence their use, especially in point-of-care diagnostics (POC-Dx). POC-Dx is a new approach aiming to replace...

We have previously shown that formation of a 1:1 fully wrapped complex of Escherichia coli SSB tetramer with (dT)(70) displays a temperature-dependent sign reversal of the binding heat capacity (ΔC(P)). Here we examine SSB binding to shorter oligodeoxynucleotides ((dX)(35)) to probe whether this effect requires binding of one or two (dX)(35) molecules per SSB tetramer. We find that the ΔC(P) fo...