Multivariate Canavati Fractional Ostrowski–Type Inequalities
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 , 1938, and Anasstasiou , 2003, and the chapter is based on .
KeywordsCompact Subset Fractional Derivative Euclidean Norm Spherical Shell Type Inequality
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