Abstract

ОБ ОПЕРАТОРАХ С РАЗРЫВНОЙ ОБЛАСТЬЮ ЗНАЧЕНИЙ

Highlights

  • The results have been obtained in the framework of the national tasks of the Ministry of Education and Science of the Russian Federation

  • А. О предельном значении остаточного члена константы Лебега, соответствующей тригонометрическому полиному Лагранжа // Изв

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Summary

Introduction

The results have been obtained in the framework of the national tasks of the Ministry of Education and Science of the Russian Federation (project no. 1.1520.2014K). О ПРЕДЕЛЬНОМ ЗНАЧЕНИИ ОСТАТОЧНОГО ЧЛЕНА КОНСТАНТЫ ЛЕБЕГА, СООТВЕТСТВУЮЩЕЙ ТРИГОНОМЕТРИЧЕСКОМУ ПОЛИНОМУ ЛАГРАНЖА Найдено предельное значение остаточного члена, входящего в известную асимптотическую формулу для этой константы. На этой основе для константы Лебега получена неулучшаемая равномерная двусторонняя оценка логарифмическими функциями.

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Conclusion

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