The current paper deals with the parametric modification of Bernstein operators which preserve constant and Korovkin?s other test functions in limit case. uniform convergence newly constructed is studied. Also, rate investigated by means modulus continuity, using belong to Lipschitz class help Peetre?s-K functionals. Finally, some numerical examples are given illustrate effectiveness defined fo...

We shall study properties of box spline operators: cardinal interpolation, convolution, and the Bernstein-Schnabl operator. We prove the saturation theorem.

A Lieb-Thirring bound for Schrödinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques. Several specific cases are discussed in detail.