Simpson inequalities for generalized preinvex functions under first-order differentiability
DOI:
https://doi.org/10.2298/FIL2607409HKeywords:
Simpson's inequality, preinvex functions, prequasi-invex functions, differentiable functionsAbstract
In this paper, we obtain some new Simpson's inequalities for functions whose first derivative in absolute value is r-preinvex and r-preqausi-invex (0<r<1). The results presented here contribute to the generalization and improvement of various earlier reported works. Some well-known results are highlighted as an immediate deduction of our main results.