New inequalities of Simpson’s type for differentiable functions via generalized convex function

• Main Authors: Shan E. Farooq, Khurram Shabir, Shahid Qaisar, Farooq Ahmad, O. A. Almatroud
• Other Authors: School of Mechanical and Aerospace Engineering
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Simpson’s; Inequalities
• Online Access: https://hdl.handle.net/10356/155772
• Institution: Nanyang Technological University

This article presents some new inequalities of Simpson’s type for differentiable functions by using (α,m)-convexity. Some results for concavity are also obtained. These new estimates improve on the previously known ones. Some applications for special means of real numbers are also provided.