Korovkin's Version
The proof of the Korovkin version follows closely the version on Kharazishvili (2000, pp. 183–184), which however generalizes it to some extent by considering admissible functionals instead of non-negative measures and inequalities and respectively in conditions 1 and 2.
Read more about this topic: Egorov's Theorem, Generalizations
Famous quotes containing the word version:
“Truth cannot be defined or tested by agreement with the world; for not only do truths differ for different worlds but the nature of agreement between a world apart from it is notoriously nebulous. Ratherspeaking loosely and without trying to answer either Pilates question or Tarskisa version is to be taken to be true when it offends no unyielding beliefs and none of its own precepts.”
—Nelson Goodman (b. 1906)