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Effectiveness Analysis Of Generalization Of Algorithms For Increasing Information Reliability Based On Usage Of Information Redundancy Of Electronic Documents, I.I. Jumanov, Kh.B. Karshiyev Jun 2019

Effectiveness Analysis Of Generalization Of Algorithms For Increasing Information Reliability Based On Usage Of Information Redundancy Of Electronic Documents, I.I. Jumanov, Kh.B. Karshiyev

Scientific Journal of Samarkand University

Approaches are proposed to use natural redundancy to increase the reliability of information in the form of logical, semantic, technological, statistical relationships, properties and relations of elements and key concepts of the document. The developed methods and algorithms are based on the mechanisms of refinement, adjustment and control of the values of elements, features, attributes, concepts of the document. Implemented a modified associative semantic network of image search - a document by segmentation in the form of its fragments and components.


Continuation Of Polyanalytic Functions, T. Ishankulov, G. Norqulova Jun 2019

Continuation Of Polyanalytic Functions, T. Ishankulov, G. Norqulova

Scientific Journal of Samarkand University

We consider the problem of continuation the � − analytic function in to a domain by values of its sequential derivatives up to the (� − 1) -th order on a part of the boundary. The problem of inversion of a Cauchy type integral to a Cauchy integral for such functions is also considered.


The Problem Of Integral Geometry For A Family Curves With Specials, A.Kh. Begmatov, Z.X. Ochilov, A.Z. Khusanov Feb 2019

The Problem Of Integral Geometry For A Family Curves With Specials, A.Kh. Begmatov, Z.X. Ochilov, A.Z. Khusanov

Scientific Journal of Samarkand University

We study new problem of reconstruction of a function in a strip from their given integrals with known weight function along polygonal lines. We obtained two simply inversion formulas for the solution to the problem. We prove uniqueness theorems for solutions and obtain stability estimates of a solution to the problem in Sobolev’s spaces and thus show their weak illposedness.


Estimation Of Oscillatory Integrals With Special Phase, G.A. Khasanov Feb 2019

Estimation Of Oscillatory Integrals With Special Phase, G.A. Khasanov

Scientific Journal of Samarkand University

In this paper, we consider uniform estimates for oscillatory integrals with some phase functions depending on small parameters.


On The Cauchy Problem For The Laplace Equation, A.B. Khasanov, Z. Malikov, F.R. Tursunov Feb 2019

On The Cauchy Problem For The Laplace Equation, A.B. Khasanov, Z. Malikov, F.R. Tursunov

Scientific Journal of Samarkand University

The article studies the problem of continuation of the solution and the stability estimate of the Cauchy problem for the Laplace equation in a domain G by its known values on the smooth part S of the boundary G  . The considered problem belongs to the problems of mathematical physics, in which there is no continuous dependence of solutions on the initial data. It is assumed that the solution to the problem exists and is continuously differentiable in a closed domain with exac tly given Cauchy data. For this case, an explicit formula for the continuation of the solution …