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Inequalities via fractional integration

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Fractional Calculus and Its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 457))

Abstract

There are many useful inequalities involving trigonometric and algebraic polynomials. No universal method exists to find them, but the following general method is quite useful and has led to a number of new inequalities for trigonometric polynomials and suggested others: first, prove a specific inequality, and then use fractional integration to generate new inequalities.

This paper sponsored by United States Army under contract no. DA-31-124-ARO-D-462.

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Authors

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Bertram Ross

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© 1975 Springer-Verlag

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Askey, R. (1975). Inequalities via fractional integration. In: Ross, B. (eds) Fractional Calculus and Its Applications. Lecture Notes in Mathematics, vol 457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067100

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  • DOI: https://doi.org/10.1007/BFb0067100

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  • Print ISBN: 978-3-540-07161-7

  • Online ISBN: 978-3-540-69975-0

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