No abstract

econoMIc securIty of uKrAIne: InnovAtIve concept of strenGthenInG In the context of covID-19 purpose. Formation of an innovative concept of Ukraine's economic security strengthening in the context of COVID19 on the basis of systematization and generalization of domestic and international experience in strengthening of national economic security during crisis events. Methodology. The developed conceptual model for assessing Ukraine's economic security integrates the methodological rec ommendations of domestic and Polish research centers to determine the relevant integral index, which will be used as the only indicator of the national economy protection level. The scientific basis of the proposed model is the methodology of integral as sessment, which determines the weight of subindices and indicators that will characterize the level of the integral index of the country's economic security in crisis conditions. findings. A theoretical approach is substantiated to the formation of an innovative concept of Ukraine's economic security strengthening in the context of COVID19, which provides for the formation of the gigeconomic space as a new key driver of the national economy in the context of global epidemiological instability. An innovative system of weighted indicators of the eco nomic security integral index is proposed. The proposals for the use of blockchain technologies make it possible to attract domes tic public investment for training, soft loans and retraining of the economically active population in the amount of 1 billion dollars. originality. The scientific novelty of the proposed research is to modernize the assessment system of economic security of Ukraine by introducing a new weighting system of indicators and epidemiological subindex, the use of which will allow more ac curate forecasting and increase the efficiency of the state management of economic safety of national economy in the context of the epidemic and the financial crisis. practical value. The proposed methodological approach forms a reliable theoretical basis for solving a number of scientific and practical problems related to the search for quick and effective management solutions caused by the new economic policy, as well as provides practical financial and economic tools to strengthen the economic security of Ukraine in the context of structural in novation and investment changes caused by COVID19.

The article systematized the most widely spread models of agricultural enterprises' functioning and presents the authors' algorithm how to stimulate further development of socioeconomic rural territories in Ukraine under the conditions of the ongoing political and economic decentralization. Attention is also focused on similar experience and development trends in Poland, since borrowing this experience might be helpful for Ukraine while taking into account socioeconomic, ethnical cultural and climatic features of agricultural enterprises' functioning along with the most pressing needs of their local communities. The authors present here their own step-by-step approach to designing the model of agricultural business development in the context of harmonizing the interests of farmers on one side and united territorial communities on the other.

No abstract

The Jackson inequality En(f ) ≤ c ω3 f, π n relates the value of the best uniform approximation En(f ) of a continuous 2π-periodic function f : R → R by trigonometric polynomials of degree ≤ n−1 to its third modulus of continuity ω3(f, t). In the present paper, we show that this inequality is true if continuous 2π-periodic functions that change their convexity on [−π, π) only at every point of a fixed finite set consisting of an even number of points are approximated by polynomials coconvex to them.