OnKatugampola Fractional Multiplicative Hermite-Hadamard Type Inequalities

Digital Resource Based on the Academic Paper
📝 “On Katugampola Fractional Multiplicative Hermite–Hadamard-Type Inequalities”
Published in Mathematics, MDPI, 2025 by Saleh, Meftah, Awan, and Lakhdari.

🎁 Included in the Package

✅ Simulation files for:

• Katugampola fractional multiplicative integrals

• Multiplicative $s$-convex functions

• Midpoint and trapezoid-type inequalities
  (Mathematica, MATLAB, or Python)

✅ Step-by-step derivations of:

• Hermite–Hadamard inequalities using Katugampola operators

• Identities involving multiplicative derivatives

• Multiplicative midpoint and trapezoid bounds

✅ Interactive graphs showing:

• Behavior of multiplicative $s$-convex functions

• Comparison between classical, fractional, and multiplicative integral estimates

✅ Multiplicative and fractional integral calculators:

• Katugampola, Riemann–Liouville, and Hadamard types

• Symbolic and numeric evaluation examples

✅ Explanatory documentation with:

• Definitions of multiplicative calculus

• Katugampola integral properties

• Annotated proofs and inequality breakdowns

📚 Topics Covered

• Multiplicative $s$-convexity (second sense)

• Katugampola fractional multiplicative calculus

• Hermite–Hadamard, midpoint, trapezoid, and Newton-type inequalities

• Fractional multiplicative derivative theory

• Applications to approximation and error analysis