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General Hilbert—Pachpatte–Type Integral Inequalities

In: Fractional Differentiation Inequalities

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  • George A. Anastassiou

    (University of Memphis, Department Mathematical Sciences)

Abstract

In this chapter we present very general weighted Hilbert—Pachpatte–type integral inequalities. These are with regard to ordinary derivatives and fractional derivatives of Riemann—Liouville and Canavati types, and also in regard to general derivatives of Widder-type and linear differential operators. These results apply to continuous functions and some to integrable functions. This treatment relies on [41].

Suggested Citation

  • George A. Anastassiou, 2009. "General Hilbert—Pachpatte–Type Integral Inequalities," Springer Books, in: Fractional Differentiation Inequalities, chapter 19, pages 505-522, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-98128-4_19
    DOI: 10.1007/978-0-387-98128-4_19
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