Approximation of classes of periodic multivariable functions by linear positive operators

• Дата: 2006
• Автори: Bushev, D. M., Kharkevych, Yu. I., Бушев, Д. М., Харкевич, Ю. І.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3430
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In an N-dimensional space, we consider the approximation of classes of translation-invariant periodic functions by a linear operator whose kernel is the product of two kernels one of which is positive. We establish that the least upper bound of this approximation does not exceed the sum of properly...