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Information × Registration Number 0213U002441, 0110U001282 , R & D reports Title Optimal recovery of the operators on the clases of the functions of one and many variables popup.stage_title Head Babenko Vladyslav Fedorovych, Registration Date 29-01-2013 Organization Dniepropetrovsk national university popup.description2 Object of reseach (projection) - methods of recovery operators on classes of functions of one and many variables. The aim of reseach - to create new methods of solving the extremal problems of approximation theory of functions, to obtain a new sharp estimates of approximation of functions by various means of approximation, to development of methods of approximation of unbounded operators by bounded ones, methods of prooving sharp inequalities for derivatives and primitives of functions, to create new methods of recovery operators, to development of optimal algorithmes of calculations. Methods of reseach and equipment - methods of modern analysis and theory of functions, differential equations, geometry and topology. Theoretical and practical results - new methods of solving the extremal problems of approximation theory of functions of one and many variables, new sharp estimates of approximation of functions by various means of approximation, new methods of approximation of unbounded operators by bounded ones, in particular, methods of prooving sharp inequalities for derivatives of functions of one and many variables, new methods of recovery of operators of convolution type and differential operators, singular and hypersingular integrals on classes of functions of one and many variables. Newness and effectiveness of introduction - all resultes of research are new and they are published in leading journals of Ukraine and of the World. Topic of application - calculating mathematic, theory of differential equations, functional analysis, theory of incorrected problems. Product Description popup.authors Кофанов Володимир Олександрович popup.nrat_date 2020-04-02 Close