@article{Kofanov_2012, title={Inequalities for derivatives of functions on an axis with nonsymmetrically bounded higher derivatives}, volume={64}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2604}, abstractNote={For nonperiodic functions $x \in L^r_{\infty}(\textbf{R})$ defined on the entire real axis, we prove analogs of the Babenko inequality. The obtained inequalities estimate the norms of derivatives $||x^{(k)}_{\pm}||_{L_q[a, b]}$ on an arbitrary interval $[a,b] \subset R$ such that $x^{(k)}(a) = x^{(k)}(b) = 0$ via local $L_p$-norms of the functions $x$ and uniform nonsymmetric norms of the higher derivatives $x(r)$ of these functions.}, number={5}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Kofanov, V. A.}, year={2012}, month={May}, pages={636-648} }