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STUDIA MATHEMATICA - Issue no. 1 / 2014 | |||||||
Article: |
MULTIVARIATE WEIGHTED FRACTIONAL REPRESENTATION FORMULAE AND OSTROWSKI TYPE INEQUALITIES. Authors: GEORGE A. ANASTASSIOU. |
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Abstract:
Here we derive multivariate weighted fractional representation formulae involving ordinary partial derivatives of first order. Then we present related multivariate weighted fractional Ostrowski type inequalities with respect to uniform norm. Mathematics Subject Classification (2010): 26A33, 26D10, 26D15. Keywords: Multivariate fractional integral, weighted representation formula, multivariate weighted Ostrowski inequality.
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