Наилучшее приближение оператора Лапласа ограниченными операторами в пространстве L2
: магистерская диссертация

Tesis doctoral: Master's Thesis

Resumen

We consider the problem of the best approximation of the first order Laplace operator by linear bounded operators with norm not exceeding a given number in the space L2(Rn) on the class of functions with a bounded norm of the second degree of the Laplace operator. We also obtain an exact estimate for the norm of the first order Laplace operator in terms of the norm of the second order Laplace operator and the norm of the function in the space L2(Rn).
Fecha de adjudicación2019
Idioma originalRussian
Institución adjudicataria
  • Ural Federal University
SupervisorВиталий Владимирович Арестов (Supervisor)

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