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Ostrowski type inequalities involving conformable fractional integrals.

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Area of Science:

  • Fractional Calculus
  • Inequality Theory

Background:

  • Ostrowski-type inequalities are fundamental in mathematical analysis.
  • Conformable fractional integrals offer a novel framework for generalizing integral inequalities.

Purpose of the Study:

  • To establish new Ostrowski-type inequalities utilizing conformable fractional integrals.
  • To derive new inequalities for arithmetic and generalized logarithmic means as applications.

Main Methods:

  • Development of Ostrowski-type inequalities within the conformable fractional calculus framework.
  • Application of derived inequalities to establish new mean inequalities.

Main Results:

  • Several new Ostrowski-type inequalities involving conformable fractional integrals are established.
  • Novel inequalities for the arithmetic mean and generalized logarithmic mean are derived.

Conclusions:

  • The study successfully extends Ostrowski-type inequalities to the conformable fractional integral setting.
  • The derived inequalities provide valuable tools for further research in fractional analysis and mean inequalities.