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Multivariate Canavati Fractional Ostrowski–Type Inequalities

  • George A. Anastassiou
Chapter

Optimal upper bounds are given to the deviation of a value of a multivariate function of a fractional space from its average, over convex and compact subsets of ℝ N , N ≥ 2. In particular we work over rectangles, balls, and spherical shells. These bounds involve the supremum and L∞ norms of related multivariate Canavati fractional derivatives of the involved function. The presented inequalities are sharp; namely they are attained. This chapter has been motivated by the works of Ostrowski [318], 1938, and Anasstasiou [24], 2003, and the chapter is based on [43].

Keywords

Compact Subset Fractional Derivative Euclidean Norm Spherical Shell Type Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department Mathematical SciencesUniversity of MemphisMemphisUSA

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