On Hermite-Hadamard-Fejér type inequalities without symmetry condition and applications

Key Points

• This research aims to derive new Hermite-Hadamard-Fejér inequalities without the symmetry condition for convex functions.
• Utilized Riemann integrals and Riemann-Liouville fractional integrals to derive inequalities.
• Proved new fractional trapezoid and midpoint type inequalities for differentiable convex functions.
• Illustrated special cases of the derived inequalities through examples.
• Established new Hermite-Hadamard-Fejér inequalities applicable to non-symmetric convex functions.
• Demonstrated new inequalities that extend existing mathematical frameworks for convex functions.
• Provided specific examples to showcase the applicability of these new inequalities.