4.7 Article

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

Journal

MATHEMATICS
Volume 9, Issue 2, Pages -

Publisher

MDPI
DOI: 10.3390/math9020122

Keywords

chebyshev type inequalities; generalized fractional integral operators

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Funding

  1. GNAMPA 2019
  2. RUDN University Program 5-100

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This study obtained new and general variants on Chebyshev's inequality by using integrable functions and generalized fractional integral operators, generalizing many existing results and iterating the Chebyshev inequality in special cases.
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.

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