WEIGHTED ESTIMATE OF A MATRIX OPERATOR WITH VARIABLE UPPER LIMIT ON THE CONE OF MONOTONE SEQUENCES
ЖОҒАРҒЫ ШЕГІ АЙНЫМАЛЫ БОЛАТЫН МАТРИЦАЛЫҚ ОПЕРАТОРДЫҢ МОНОТОНДЫ ТІЗБЕКТЕР КОНУСЫНДАҒЫ САЛМАҚТЫ БАҒАЛАУЫ
ВЕСОВАЯ ОЦЕНКА МАТРИЧНОГО ОПЕРАТОРА С ПЕРЕМЕННЫМ ВЕРХНИМ ПРЕДЕЛОМ НА КОНУСЕ МОНОТОННЫХ ПОСЛЕДОВАТЕЛЬНОСТЕЙ
Beszhanova A.T. Bayarystanov A.O.
2024Kazakh-British Technical University
Herald of the Kazakh British Technical UNiversity
2024#21Issue 4136 - 145 pp.
Hardys inequality was formulated in 1920 and finally proved in 1925. Since then, this inequality has been significantly developed. The first development was related to the consideration of more general weights. The next step was to use more general operators with other kernels instead of the Hardy operator. Currently, there are many works devoted to Hardy-type inequalities with iterated operators. Motivated by important applications, all these generalizations of Hardys inequality are studied not only on the cone of non-negative functions, but also on the cone of monotone functions. In this paper, we consider the problem of finding necessary and sufficient conditions for the fulfillment of a weighted Hardy-type inequality on the cone of monotone sequences for 1
Hardys inequality , matrix operator , monotone sequences
Text of the article Перейти на текст статьи
L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
L.N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026