Journal of Advances in Mathematics Vol 19 (2020) ISSN: 2347-1921 https://rajpub.com/index.php/jam 89 DOI: https://doi.org/10.24297/jam.v19i.8902 Approximation of New Sequence of Integral Type Operators with two Parameters Ali J. Mohammad 1 , Amal K. Hassan 2 1 Department of Mathematics, College of Education for Pure Science, University of Basrah, Basrah, IRAQ. 2 Department of Mathematics, College Science, University of Basrah, Basrah, IRAQ. alijasmoh@gmail.com, amalkheleel2015@gmail.com Abstract In our paper, we provide and study a new sequence of positive and linear operators of integral type ,, (; ). This sequence depends on two parameters, positive integers and . We mention some of the properties of this sequence and describe a Voronovskaja type asymptotic formula. Besides, we find the error estimates of this approximation in terms of the modulus of continuity. lastly, we introduce a numerical example and compare the results obtained. Keywords: positive and linear operators, Voronovskaja-type asymptotic formula, Modulus of continuity. Mathematics Subject Classification 2010: 41A10, 41A25, 41A36. 1. Introduction Szasz in 1950, [10] introduced a sequence of positive and linear operators to approximate the unbounded continuous functions in the interval [0, ∞) as: (; ) = ∑ , () ( ) ∞ =0 , (1.1) where , () = () ! ,∈[0, ∞). After that, several researchers are modified for many sequences of operators [2], [3], and [4]. Rempulska and et.al. in 2009,[9] studied the following sequence of improvement Szasz -Mirakyan operators , (; ) as: , ((); ) = 1 () ∑ () ()! ( ) ∞ =0 , (1.2) ∈[0, ∞), ∈ = {1,2, … }, and for every fixed ∈, where, () = ∑ ()! ∞ =0 clearly 1 () = 2 () = cosh (). After that, many researchers presented various studies in this aspect as [1 ], [7 ], [ 8], and [11 ] Mohammad and Hassan in 2019 [6] introduce a new sequence of integral type operators on the space [0, ∞) = { ∈ [0, ∞): |()| = ( ), for some > 0} and the norm ‖‖ [0,∞) = ∈[0,∞) |()| − as: , ((); ) = 1 () ∫ ′ ()() 0 (1.3) In the percent paper, we generalized the sequence (1.3) on the space [0, ∞)as: