Lebesgue-type inequalities for the de la Vallée-poussin sums on sets of entire functions

Musienko, Andrii; Serdyuk, A. S.

doi:10.1007/s11253-013-0808-4

Cited by 22 publications

(10 citation statements)

References 7 publications

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“…The contributions to the result of the DLS operation of the ZSU of these subsystems are the most significant. The physical content of the values of indicators is the degree of their impact on achieving the main goal of the distance learning system to meet the needs of consumers in educational services [16,17,21],.…”

Section: Resultsmentioning

confidence: 99%

Comprehensive Methods of Evaluation of Efficiency of Distance Learning System Functioning

Барабаш¹,

Musienko²,

Hohoniants³

et al. 2021

IJCNIS

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The current pace of development of information technology has created the preconditions for the emergence of a wide range of tools for providing educational services using distance learning technologies. This is confirmed by the intensification of the use of distance learning systems in the conditions of sanitary and epidemiological restrictions and the need for acute cost savings. The existing scientific and methodological apparatus for studying the quality of functioning of distance learning systems is mostly based on approaches to separate assessment of the effectiveness of their elements and the relevant quality indicators. This limits the ability to take into account important factors in the decision-making process and requires comprehensive consideration of the contributions of relevant subsystems to the functioning of the distance learning system. In order to solve this problem, the article presents a comprehensive methodology for assessing the effectiveness of distance learning system, based on methods of probability theory and hierarchy analysis and describes the patterns of influence on the effectiveness of distance learning system of importance and contributions of its subsystems. Comparative analysis of the data obtained by monitoring and forecasting performance indicators based on the proposed method, shows an increase in the reliability of the assessment within 15-18%, which in contrast to the existing reduction of standard deviation of performance indicators by an average of 26% and ensures the adequacy of the results within certain assumptions and hypotheses. In such conditions, the choice of an appropriate option for the construction of the DN system is ensured by the reliability of the forecast of the results of its operation in the range of 82-85%, which is high enough to make appropriate decisions. The value of this study lies in the possibility of using the tested scientific and methodological apparatus in forecasting the outcome of the system and saving material, financial and human resources in the process of implementing the relevant recommendations in practice. This fact makes it possible to eliminate limitations in the practice of building distance learning systems and creates a new opportunity to cover a wider range of factors that affect the quality of operation.The application of this technique makes it possible to predict the results of the joint operation of the relevant subsystems of the distance learning system, taking into account their contribution to the overall result.

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Section: Resultsmentioning

confidence: 99%

Comprehensive Methods of Evaluation of Efficiency of Distance Learning System Functioning

Барабаш¹,

Musienko²,

Hohoniants³

et al. 2021

IJCNIS

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show abstract

“…In [8,9] developed a structural-parametric model of information security risk assessment system which, due to the structural components of subsystems, the formation of primary and secondary data, as well as their components modules of initialization of input data, formation and conversion of reference values, weighing evaluation parameters and their adjustment, risk assessment and report generation, which implement the proposed methods, assessment based on databases of vulnerabilities, incrementing and decrementing the order of linguistic variables, allows for high flexibility and convenience in assessing information security risks without the participation of experts in the subject area. But only the problems of information security, which are presented in local databases, are considered.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Modeling the Protection of Personal Data From Trust and the Amount of Information on Social Networks

et al. 2021

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The article analyzes the parameters of social networks. The analysis is performed to identify critical threats. Threats may lead to leakage or damage to personal data. The complexity of this issue lies in the ever-increasing volume of data. Analysts note that the main causes of incidents in Internet resources are related to the action of the human factor, the mass hacking of IoT devices and cloud services. This problem is especially exacerbated by the strengthening of the digital humanistic nature of education, the growing role of social networks in human life in general. Therefore, the issue of personal information protection is constantly growing. To address this issue, let’s propose a method of assessing the dependence of personal data protection on the amount of information in the system and trust in social networks. The method is based on a mathematical model to determine the protection of personal data from trust in social networks. Based on the results of the proposed model, modeling was performed for different types of changes in confidence parameters and the amount of information in the system. As a result of mathematical modeling in the MatLab environment, graphical materials were obtained, which showed that the protection of personal data increases with increasing factors of trust in information. The dependence of personal data protection on trust is proportional to other data protection parameters. The protection of personal data is growing from growing factors of trust in information. Mathematical modeling of the proposed models of dependence of personal data protection on trust confirmed the reliability of the developed model and proved that the protection of personal data is proportional to reliability and trust

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“…If a hardware failure occurs, the self-recovery is to find the workstations to which the software components are redistributed with the establishment of new network connections. As at the system level, it is necessary to periodically check the condition of various components of the equipment and act accordingly [7,16,29].…”

Section: Literature Reviewmentioning

confidence: 99%

Comprehensive Methods of Evaluation of Distance Learning System Functioning

Барабаш¹,

Лаптєв²,

Sobchuk³

et al. 2021

IJCNIS

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Given recent events, training during quarantine can only take place remotely. To ensure quality training, communication must be seamless. To do this, the network must function smoothly. The solution to this problem is functionally stable networks that allow uninterrupted transmission of information due to redundancy. An important issue is the definition of redundancy. To solve this problem, the article considers the method of synthesis of the structure of the distance learning system. The method of synthesis of network structure used for providing distance learning by the criterion of maximum functional stability on the basis of the introduction of correcting communication lines is offered. With this method, you can develop tools for self-recovery of distributed software, taking into account the characteristics of disparate computer resources through the use of redundancy. This will allow you to develop functionally stable software systems, significantly reduce the recovery time of such systems after or in the event of possible failures. To increase the efficiency of the developed method, the mathematical model of the hyper network based on two hypergraphs was improved, which allows taking into account different requirements for the quality of the network.

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Lebesgue-type inequalities for the de la Vallée-poussin sums on sets of entire functions

Cited by 22 publications

References 7 publications

Comprehensive Methods of Evaluation of Efficiency of Distance Learning System Functioning

Comprehensive Methods of Evaluation of Efficiency of Distance Learning System Functioning

Modeling the Protection of Personal Data From Trust and the Amount of Information on Social Networks

Comprehensive Methods of Evaluation of Distance Learning System Functioning

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