The motivation behind this paper is a sequence Sn of generalized Szasz operators using multiple Appell polynmials.The purpose of the present paper is to find the image of the polynomials under these operators.We find ...The motivation behind this paper is a sequence Sn of generalized Szasz operators using multiple Appell polynmials.The purpose of the present paper is to find the image of the polynomials under these operators.We find that as n→∞,S_(n)(t^(m);x)approaches to x^(m)for every m∈N.Finally,We prove the image of a polynomial of degree m under these operators is another polynomial of degree m by using the linearity of these operators.展开更多
文摘The motivation behind this paper is a sequence Sn of generalized Szasz operators using multiple Appell polynmials.The purpose of the present paper is to find the image of the polynomials under these operators.We find that as n→∞,S_(n)(t^(m);x)approaches to x^(m)for every m∈N.Finally,We prove the image of a polynomial of degree m under these operators is another polynomial of degree m by using the linearity of these operators.
