ON NEW CHEBYSHEV INEQUALITIES VIA FRACTIONAL OPERATORS

Alan E. A., ÇELİK B., Set E., Dahmani Z.

MISKOLC MATHEMATICAL NOTES, vol.22, no.2, pp.557-569, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.18514/mmn.2021.3619
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.557-569
  • Keywords: Chebyshev inequality, generalized fractional integral operators, new conformable fractional integral operators, Saigo fractional integral operators
  • Marmara University Affiliated: No

Abstract

The aim of this paper is to establish several fractional integral inequalities related to the weighted and the extended Chebyshev functional. We use generalized fractional integral operators, new conformable fractional integral operators and Saigo fractional integral operators to prove our results. This study states that our findings are more convenient and efficient than other available results.