@article{Kofanov_2021, title={On correlation between sharp Kolmogorov type inequalities and sharp Kolmogorov–Remez type inequalities}, volume={73}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6310}, DOI={10.37863/umzh.v73i4.6310}, abstractNote={<div> <p>UDC 517.5</p> <p>We establish a new theorem on correlation between the sharp constants in the Kolmogorov type inequalities and the sharp constants in the Kolmogorov–Remez type inequalities for differentiable periodic functions. <br>As a consequence, we obtain new sharp Kolmogorov–Remez type inequalities for such functions. <br>We also derive new sharp Bernstein–Remez type inequalities for trigonometric polynomials and polynomial splines.</p> <p>&nbsp;</p> </div> <div>&nbsp;</div> <p>&nbsp;</p&gt;}, number={4}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Kofanov, V. A.}, year={2021}, month={Apr.}, pages={506 - 514} }