1. On Riemann-Liouville integrals and Caputo Fractional derivatives via strongly modified (p, h)-convex functions.
- Author
-
Nosheen, Ammara, Khan, Khuram Ali, Bukhari, Mudassir Hussain, Kahungu, Michael Kikomba, and Aljohani, A. F.
- Subjects
FRACTIONAL calculus ,CAPUTO fractional derivatives ,MATHEMATICAL analysis - Abstract
The paper introduces a new class of convexity named strongly modified (p, h)-convex functions and establishes various properties of these functions, providing a comprehensive understanding of their behavior and characteristics. Additionally, the paper investigates Schur inequality and Hermite-Hadamard (H-H) inequalities for this new class of convexity. Also, H-H inequalities are proved within context of Riemann-Liouville integrals and Caputo Fractional derivatives. The efficiency and feasibility of Schur inequality and H-H inequalities are supported by incorporating multiple illustrations, that demonstrate the applicability of strongly modified (p, h)-convex functions. The results contribute to the field of mathematical analysis and provide valuable insights into the properties and applications of strongly modified (p, h)-convex functions. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF