In this paper, we first revisit and bring together as a sort of survey, properties of Bernstein polynomials of one variable. Secondly, we extend the results from one variable to several ones, namely—uniform convergence, uniform convergence of the derivatives, order of convergence, monotonicity, fixed sign for the p-th derivative, and deduction of the upper and lower bounds of Bernstein polynomials from those of the corresponding functions.

My brothers and sisters, you have helped me in other ways to realize this work, thank you for all the support you have given me throughout my studies.All the members of my family, thank you for providing help and encouragement when needed.Dr. Daniel Duviol Tcheutia, Dr. Etienne Le Grand Nana Chiadjeu and other friends, thank you for all the moments spent together and for your assistance without judgement.And finally, last but by no means least, I sincerely thank also all those who contributed to my work/education and who could not explicitly be cited because of space limitation.

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