Simpson-type inequalities via (h,m)-log-convexity for multiplicative weighted integrals
Abstract
The paper presents a new class of modified multiplicative pℎ, 𝑚q-convex functions and formulates the concept of weighted multiplicative generalized integral operators.Two new integral identities are derived, providing a fundamental basis for constructing refined dual Simpson-type inequalities containing fractional weighted integrals.Several illustrative special cases are given, demonstrating that some of the obtained inequalities are reduced to known results described in the literature, which confirms the validity and generality of the proposed framework.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Advanced Harmonic Analysis Research
Advanced Banach Space Theory
Publication details
- Journal / source
- Problemy analiza
- Publisher
- Petrozavodsk State University
- Volume
- 33
- Issue
- 1
- Pages
- 31–54
- Publication date
- 1 February 2026
- Language
- EN