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February 25, 2026Turkish Journal of Mathematics and Computer Science0 citationsOpen Access

On Error Bounds for Parameterized Trapezoid and Newton Formulas via Conformable Fractional Operators

FHFATİH HEZENCİESErhan SetHBH Üseyin Budak

Key Points

  • The aim is to establish error bounds for parameterized trapezoid and Newton-type inequalities using conformable fractional operators.
  • Develop parameterized integral identities that induce fractional integrals.
  • Prove trapezoid and Newton-type inequalities for differentiable convex functions using special cases.
  • Employ conformable fractional integrals in the proof process.
  • New trapezoid and Newton-type inequalities are derived and proved.
  • Some previously established inequalities are reaffirmed through special cases of the main results.

Abstract

In this paper, we are established that the parameterized inequalities reduce to some trapezoid andNewton-type inequalities with the help of the special choices. For this, first we present a parameterized integral identity inducing fractional integrals and then prove trapezoid and Newton-type inequalities for differentiable convex functions. These inequalities are proved by using the conformable fractional integrals. By using the special cases of our main results, we also give some new and previously obtained trapezoid and Newton-type inequalities.

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Cite This Study

HEZENCİ et al. (2026) studied this question.

synapsesocial.com/papers/699e9177f5123be5ed04efe0https://doi.org/10.47000/tjmcs.1571950
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