دانشگاه تحصیلات تکمیلی علوم پایه زنجان

بلوار استاد یوسف ثبوتی، پلاک 444

صندوق پستی 1159-45195 زنجان 66731-45137 ایران

دورنگار: 33155142 -024

تلفن: 33151 -024


طراحی و برنامه نويسی توسط مركز كامپيوتر دانشگاه تحصيلات تكميلي علوم پايه زنجان

خانه>دانشکده ریاضی>
دانشکده ریاضی
 
 
1- Burenkov, V., Ghorbanalizadeh, A., Sawano, Y., "Uniform boundedness of Kantorovich operators in Morrey spaces", Positivity, 1-11, (2018).

Abstract:
In this paper, the Kantorovich operators Kn,n∈N are shown to be uniformly bounded in Morrey spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the difference Kn(f)−f for functions f of regularity of order 1 measured in Morrey spaces. One of the key tools is the pointwise inequality for the Kantorovich operators and the Hardy–Littlewood maximal operator, which is of interest on its own and can be applied to other problems related to the Kantorovich operators.