On Reverse and Generalized of Bellman Type Inequality

The aim of this work, to obtain reverse Bellman type inequality for convex and integrable-differentiable functions after examining the previous studies on the Bellman inequality and giving the results that are a source of inspiration for us. With that we proved the generalized of Bellman type inequality. With the help of obtained main results, we have obtained some special cases on convex and integrable-differentiable functions. For convexity we have also included some examples to make these exercises more understandable. On the other hand, we have expressed with examples to obtain a lower bound for hard integrals.