Approximation by General Family of Summation Baskakov-Type Operators Preserving the Exponential Functions

Abstract

The present paper is defining and studding a modification of the general family sequence of summation Baskakov-type operators. This modification is preserved that the functions  and  where  is fixed. We show that the uniform convergence theorem of this sequence by using the modulus of continuity to the function being approximated. Finally, we introduce the asymptotic formula for the Voronovskaya-type theorem.