Simpson-Type Inequalities for Conformable Fractional Operators Concerning Twice-Di erentiable Functions

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we prove an equality for the case of twice-differentiable convex functions with respect to the conformable fractional integrals. With the help of this equality, we establish several Simpson-type inequalities for twice-differentiable convex functions by using conformable fractional integrals. Sundry significant inequalities are obtained by taking advantage of the convexity, the H\"{o}lder inequality, and the power mean inequality. By using the specific selection of our results, we give several new and well-known results in the literature.

Language:
English
Published:
Journal of Mathematical Extension, Volume:17 Issue: 3, Mar 2023
Page:
4
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