Guldeniz Pasaoglu

Some Inequalities via Functional Type Generalization of Cauchy-Bunyakovsky- Schwarz Inequality

Inci Ege & Guldeniz Pasaoglu · Archives of Current Research International · 2025

The Cauchy-Bunyakovsky-Schwarz inequality and its various refinements are very important in mathematical analysis. In this work, we first introduce an inequality of the form $$\left[f^{(n)}(x)\right]^2 \leq k(x) \sum_{k=0}^m a_k f^{(m-k)}\left(\frac{p}{r} x+q\right) \sum_{k=0}^l...