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Fejér-Jackson’s Inequalities and Related Results

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Classical and New Inequalities in Analysis

Part of the book series: Mathematics and Its Applications () ((MAEE,volume 61))

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Abstract

This Chapter is devoted to trigonometric polynomials and series of the form

$$\sum {{C_v}} {e^{vxi}},\;or\;\sum {{C_v}\sin vx} ,\;or\;\sum {{C_v}\cos vx} ,$$

with the assumption that their coefficients C v , are positive and monotonic, e.g. for some p ≥ 0, they are p-monotone (C n ≥ 0, ∆C n ≤ 0, ... , (−1)p∆p C n ≥ 0).

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Authors and Affiliations

  1. University of Belgrade, Belgrade, Yugoslavia

    D. S. Mitrinović

  2. University of Zagreb, Zagreb, Croatia

    J. E. Pečarić

  3. Department of Mathematics, Iowa State University of Science and Technology, Ames, Iowa, USA

    A. M. Fink

Authors
  1. D. S. Mitrinović
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  2. J. E. Pečarić
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  3. A. M. Fink
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© 1993 Springer Science+Business Media Dordrecht

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Mitrinović, D.S., Pečarić, J.E., Fink, A.M. (1993). Fejér-Jackson’s Inequalities and Related Results. In: Classical and New Inequalities in Analysis. Mathematics and Its Applications (East European Series), vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1043-5_21

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  • DOI: https://doi.org/10.1007/978-94-017-1043-5_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4225-5

  • Online ISBN: 978-94-017-1043-5

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