Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/3182 2022 2022 Faculty of Information Technology and Robotics, Vitebsk State Technological University, Belarus Sergey Sergey Faculty of Information Technology and Robotics, Vitebsk State Technological University, Belarus Erina Kovachiskaya In this paper, we study of the Markov- Bernstein inequality of a complex polynomial with exponential weight functions  e^(-r^2  z2)   on the domain ├]-∞,+∞┤[,    we also study the Integral Markov-Bernstein inequality for the algebraic polynomials of degree 2m and degree m with algebraic weight functions on the domain [1,+∞┤[of type (1x^2 )^(-n), and on the domain ├]0,+∞┤[of type (1t)^(-n). 2024 2024 47 53 10.54216/GJMSA.0110105 https://www.americaspg.com/articleinfo/33/show/3182