New general variants of Chebyshev type inequalities via generalized fractional integral operators

In this study, new and general variants have been obtained on Chebyshev’s inequality, which is quite old in inequality theory but also a useful and effective type of inequality. The main findings obtained by using integrable functions and generalized fractional integral operators have generalized many existing results as well as iterating the Chebyshev inequality in special cases. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Авторы
Akdemir A.O.1 , Butt S.I.2 , Nadeem M.2 , Ragusa M.A. 3, 4
Журнал
Издательство
MDPI AG
Номер выпуска
2
Язык
Английский
Страницы
1-11
Статус
Опубликовано
Номер
122
Том
9
Год
2021
Организации
  • 1 Department of Mathematics, Faculty of Science and Letters, Ağrı İbrahim Çeçen University, Ağrı, 04100, Turkey
  • 2 Lahore Campus, COMSATS University Islamabad, Islamabad, Islamabad Capital Territory, 45550, Pakistan
  • 3 Dipartimento di Matematica e Informatica, Universitá di Catania, Viale Andrea Doria, 6, Catania, 95125, Italy
  • 4 RUDN University, 6 Miklukho, Maklay St., Moscow, 117198, Russian Federation
Ключевые слова
Chebyshev type inequalities; Generalized fractional integral operators
Дата создания
20.04.2021
Дата изменения
20.04.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/72201/
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