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.

A bstract We study solutions of the Thermodynamic Bethe Ansatz equations for relativistic theories defined by factorizable S -matrix an integrable QFT deformed CDD factors. Such -matrices appear under generalized TTbar deformations special irrelevant operators. The TBA equations, course, determine ground state energy E ( R ) finite-size system, with spatial coordinate compactified on a circle c...

for an $n$-gon with vertices at points $1,2,cdots,n$, the betti numbers of its suspension, the simplicial complex that involves two more vertices $n+1$ and $n+2$, is known. in this paper, with a constructive and simple proof, wegeneralize this result to find the minimal free resolution and betti numbers of the $s$-module $s/i$ where  $s=k[x_{1},cdots, x_{n}]$ and $i$ is the associated ideal to ...

Early infantile epileptic encephalopathy or EIEE (Ohtahara syndrome OS) is a kind of intractable seizure that begins in neonatal age with sudden onset of tonic spasms in series or single suppression-burst S-B in EEG.I Imaging shows anatomic defects such as migration disorders and generalized atrophy" with essentially normal metabolic tests. The seizures often change to West's syndrome (WS) ...