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Landau-Kolmogorov and Related Inequalities

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Inequalities Involving Functions and Their Integrals and Derivatives

Part of the book series: Mathematics and Its Applications ((MAEE,volume 53))

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Abstract

Let f be a real function with n derivatives on an interval I of the real line. Define

$${M_k}(p,I) = \parallel {f^{(k)}}{\parallel _p},\quad 0 \leqslant k \leqslant n.$$

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Authors and Affiliations

  1. University of Belgrade, Yugoslavia

    D. S. Mitrinović

  2. University of Zagreb, Yugoslavia

    J. E. Pečarić

  3. Iowa State University, Ames, USA

    A. M. Fink

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  1. D. S. Mitrinović
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  2. J. E. Pečarić
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Mitrinović, D.S., Pečarić, J.E., Fink, A.M. (1991). Landau-Kolmogorov and Related Inequalities. In: Inequalities Involving Functions and Their Integrals and Derivatives. Mathematics and Its Applications, vol 53. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3562-7_1

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