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In the present paper, we study the mixed summation integral type operators having Baskakov and Szász basis functions in summation and integration form, respectively. We also give here the alternate form of the operators in terms of hypergeometric functions and estimated moments of these operators using hypergeometric series. In the last section, we present some results for operators related to convergence. [ABSTRACT FROM AUTHOR]

In this paper, we establish a new estimate for the degree of approximation of functions f (x , y) belonging to the generalized Lipschitz class L i p ((ξ 1 , ξ 2) ; r) , r ≥ 1 , by double Hausdorff matrix summability means of double Fourier series. We also deduce the degree of approximation of functions from L i p ((α , β) ; r) and L i p (α , β) in the form of corollary. We establish some auxiliary results on trigonometric approximation for almost Euler means and (C , γ , δ) means. [ABSTRACT FROM AUTHOR]