In this article, the problem of modeling a time series using the Minimax method is considered. The expediency of using Minimax to identify points of change in trends and the range of changes in the graphical figures of technical analysis is justified. Spline approximation of the dynamic process with range constraints was performed to improve the quality of the model. Investors are advised to refrain from making hasty decisions in favor of holding reliable shares (such as PJSC Novatek shares), rather than selling them. The purchase of new shares should be carefully analyzed. Through an approximation of the dynamic number of the applicable optimization problem of minimizing the maximum Hausdorff distances between the ranges of the dynamic series and the values of the approximating function, the applied approach can provide reliable justification for signals to buy shares. Energy policy occupies the highest place in the list of progress ratings according to news analytics of businesses related to the energy sector of the economy. At the same time, statistical indicators and technologies of expert developments in this field, including intellectual analysis, can become an important basis for the development of a robotic knowledge program in the field under study, an organic addition to which is the authors’ methodology of development in energy economics as in energy policy. This paper examines the model of approximation of the multivalued time series of PJSC Novatek, represented as a series of ranges of numerical values of the indicators of financial markets, with constraints on the approximating function. The authors consider it advisable for promising companies to apply this approach for successful long-term investment.

Considering the general point of view, the concept of diagnosis has assumed the identification of disfunctionalities specific to its activities, as well as the analysis of facts and responsibilities, identification of causes and measurements that have to lead towards the improvement of the economical-financial situation.Of the same mind, other specialists in the field have been aware of this, and whom opinion is summarized to the fact that analysis of a diagnosis has assumed the localization of symptoms, of disfunctionalities related to a company, the research and analysis of facts and responsibilities, identification of causes specific to disfunctionalities, the elaboration of certain programs of activity, where the recovery or amelioration of performances is being assured by using their practical applying.As a matter of fact, performing a company's diagnosis can be motivated not only by the situation where this shows difficulties, or disfunctionalities respectively, but also when an enterprise proves a health state, but wishes its improvement.

Ключевые слова: финансовый потенциал, интегральная оценка, графический анализ, нефтегазовые компании Аннотация Предмет. Совокупность теоретических, практических и методологических вопросов, связанных с определением финансового состояния предприятий, основанная на использовании группы относительных показателей компаний. Цели. Получение обобщенной интегральной оценки финансового потенциала компаний нефтегазовой отрасли и построение графической модели для наглядного представления результатов вычислений. Методология. Использованы инструменты графического анализа, теории нечетких множеств и Декартова система координат для вычисления общих интегральных показателей, характеризующих оценку финансового состояния компании. Результаты. Определены итоги присвоения рангов каждому из показателей путем расчета соответствующих весовых коэффициентов на основе критерия Фишберна. Выбраны исходные и нормированные показатели, на базе этого сформированы векторные значения. Разработана интегральная оценка финансового положения компаний и построена графическая модель, отражающая положение полученной оценки. Определены зоны, соответствующие финансовому состоянию компании в определенный момент времени. Область применения результатов. Методика будет интересна топ-менеджменту и инвестиционным компаниям, ориентированным на нефтегазовую отрасль, для сравнительного финансового анализа компаний. Использование интегрального показателя позволяет представить обобщенные оценки. Выводы. Выявлены основные показатели оценки финансового состояния предприятия путем формирования интегрального показателя и проведено графическое моделирование полученных результатов, отражающее финансовое состояние компаний.

Attracting financing and a stable inflow of capital investments for development is one of the most important issues in the framework of a market economy for any sphere, including the professional sports industry. The inflow of sufficient funding depends to a high degree on the investment attractiveness of the object. In addressing these issues, an essential role is played by the assessment of the effectiveness of financial and economic activities, which affects the amount of funds raised from both budgetary and extra-budgetary sources. The identification of the most important performance factors will allow us to direct efforts to maintain their favorable condition, which is the key to the stable development of the sports industry. The conducted analysis showed that with a competent approach, in particular in the issues of popularization of the sport, the league and club brand, customer orientation and the use of the product exclusivity factor, qualified personnel, as well as investment and innovation activity, including in the issue of training sports personnel, the professional sports industry can be considered as an effective investment and advertising tool that can generate income both in monetary form and in the form of image and socially significant effect.

The article is devoted to the development of economic and mathematical tools for assessing the level of investment attractiveness of oil companies. It is noted that the oil industry is the driver of economic development of any country. The spread of the COVID-19 pandemic has caused a significant problem of instability in the Russian oil sector. This problem is of a strategic nature and its solution requires the activation of investment in the oil complex enterprises and, as a result, the development and use of model tools to assess the level of investment attractiveness of investment objects. The economic and mathematical model proposed in this article is based on the application of the mathematical apparatus of fuzzy logic and allows us to give a quantitative assessment of the investment climate of oil companies when operating with qualitatively defined characteristics (multipliers).