Published January 1, 2024 | Version v1
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OSTROWSKI-MERCER TYPE INTEGRAL INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS VIA ATANGANA-BALEANU FRACTIONAL INTEGRAL OPERATORS

  • 1. Ordu Univ, Fac Arts & Sci, Dept Math, Ordu, Turkiye
  • 2. Agri Ibrahim Cecen Univ, Fac Sci & Letters, Dept Math, Agri, Turkiye
  • 3. Minist Natl Educ, Mersin, Turkiye

Description

. The study is based on bringing together important concepts of fractional analysis, convex analysis and inequality theory and includes various new Ostrowski-Mercer type integral inequalities. In the main findings section; New integral inequalities have been established for differentiable convex functions via an integral identity that have the potential to produce Ostrowski-Mercer type inequalities and whose proof is given with the help of Atangana-Baleanu fractional integral operators. Several special cases have been considered for classical Riemann integrals.

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