New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators

Ahmet Ocak Akdemir, Saad Ihsan Butt, Muhammad Nadeem and Maria Alessandra Ragusa
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Ahmet Ocak Akdemir: Department of Mathematics, Faculty of Science and Letters, Ağrı İbrahim Çeçen University, 04100 Ağrı, Turkey
Saad Ihsan Butt: Lahore Campus, COMSATS University Islamabad, Islamabad 45550, Pakistan
Muhammad Nadeem: Lahore Campus, COMSATS University Islamabad, Islamabad 45550, Pakistan
Maria Alessandra Ragusa: Dipartimento di Matematica e Informatica, Universitá di Catania Viale Andrea Doria, 6, 95125 Catania, Italy

Mathematics, 2021, vol. 9, issue 2, 1-10

Abstract: 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.

Keywords: chebyshev type inequalities; generalized fractional integral operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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