On Nikol'skii-Type Inequalities with New Characteristics

Niko'skii-type inequalities with new characteristics are studied. These inequalities are referred to as inequalities between different norms of the same function from a certain space. These inequalities are obtained on curves in the complex plane in terms of the following basic characteristics. The results show that the inequalities cannot be obtained in classes of curves larger than a certain class. Any rectifiable Jordan curve depending on nonzero measurable function that is almost everywhere finite is also considered.