Abstract The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. consequences derived in this are unification and generalization of the comparable literature on midpoint inequalities.

We prove estimates for the error in the most straightforward discrete approximation to the integral of a compactly supported function of n variables. The methods use Fourier analysis and interpolation theory, and also make contact with classical lattice point estimates. We also prove error estimates for the approximation of the integral over an interval by the trapezoidal rule and the midpoint ...

The methylation rates of a meta-phenyleneethynylene (mPE) oligomer with a terminally-attached 4-dimethylaminopyridine (DMAP) residue are reported for a series of linear and branched methyl sulfonates; these data show that selective methylation is enhanced by locating the DMAP unit at the midpoint of the sequence, allowing the foldamer cavity to function as a reactive sieve.

the objective followed in the present study was to survey the relationship between 18 body trait measurements (live weight, height at wither, paunch girth, neck diameter, body length, girth around the body, width of fat tail at above, below and midpoint of fat tail, fat tail length lowers right and left sides, fat tail gap length, fat tail depth at the above, below, and midpoint, and girth arou...

molecular dynamic simulation is a powerful method that monitors all variations in the atomic level in explicit solvent. by this method we can calculate many chemical and biochemical properties of large scale biological systems. in this work all-atom molecular dynamics simulation of polyalanine (pa) was investigated in the presence of 0.224, 0.448, 0.673, 0.897 and 1.122 m of guanidinium chlorid...

in this paper‎, ‎making use of a new identity‎, ‎we establish new‎ ‎inequalities of ostrowski type for the class of preinvex functions and‎ ‎gave some midpoint type inequalities‎.