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.

Authors
Akdemir A.O.1 , Butt S.I.2 , Nadeem M.2 , Ragusa M.A. 3, 4
Journal
Mathematics
Publisher
MDPI AG
Number of issue
2
Language
English
Pages
1-11
Status
Published
Link
External link
DOI
10.3390/math9020122
Number
122
Volume
9
Year
2021
Organizations
  • 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
Keywords
Chebyshev type inequalities; Generalized fractional integral operators
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72201/
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