One of the most important mathematical constants is Euler-Mascheroni constant that is the limit of the sequence --------------------------------  and is denoted by gamma. Some other developed constants known as Euler type constants are introduced in order to generalize the above constant. In the present paper, inspired by the functional sequence derivative of the limit summand of functions (i...

We define the summation-integral-type operators involving ideas of Pólya–Eggenberger distribution and Bézier basis functions, study some their basic approximation properties. In addition, by means Ditzian–Totik modulus smoothness, we a direct theorem as well quantitative Voronovskaja-type for our newly constructed operators. Moreover, investigate functions with derivatives bounded variation (DB...